88
Chapter 9 Making Capital Investment Decisions 9-1

Chapter 9 Making Capital Investment Decisions

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Chapter 9 Making Capital Investment Decisions

9-1

The role of the financial manager is to answer these questions

9-2

What Investments Do

You Make

How Do You Finance These Investments

How Will You Manage Daily

Financial Activities

Capital Budgeting Decisions

Capital Structure Decisions

Working Capital Decisions

Making Capital Investment Decisions (Ch 9)

Investment Criteria (Ch 8)

FV and PV ndash Multiple Cash Flows (Ch 5)

FV and PV ndash Single Lump Sum (Ch 4)

Analyzing Financial Statements (Ch 3)

Financial Statements and Cash Flow (Ch 2)

Goal of Financial Management (Ch 1)

9-3

Blue Hen Brewery has developed a new style of beer that they think will be a big seller in the marketplace Higher alcohol content 16 ounce cans vs 12 ounce bottles

We need to determine whether or not this investment will increase shareholder value

9-4

Cash flow estimates are the starting point in analyzing an investment The cash flows were simply given to us in Chapter 8

We now need to understand where these cash flows come from And determine which cash flows should be considered in

the investment decision

9-5

Understand how to determine the relevant cash flows for a proposed investment

Understand how to analyze a projectrsquos projected cash flows

Learn how to evaluate an estimated NPV Scenario analysis Sensitivity analysis

9-6

Relevant Cash Flows

9-7

Once a company decides to take on a new investment project their cash flows are going to be different If the Blue Hen Brewery takes on this new product

line their cash flows will be altered

The challenge for the Finance manager is to determine if the change in cash flows that result from the investment will increase the shareholder value

9-8

9-9

Incremental Cash Flows for a Project

Relevant Cash Flows

Include only cash flows that will only occur if the project is accepted Incremental cash flows

The stand-alone principle allows us to analyze each project in isolation from the firm simply by focusing on incremental cash flows

In general it is easy to determine cash flows that are directly linked to the investment project under consideration Incremental revenue from the new product (eg

sales of the new beer) Incremental costs from the new product (eg

brewing ingredients packaging marketing)

There are however some situations where it can be difficult to determine if cash flows are or are not relevant

9-10

Relevant

bullOpportunity costsbullSide effectserosionbullNet working capitalbullTax effectsbullAfter tax salvage value

Not Relevant

bull ldquoSunkrdquo costsbullFinancing costs

9-11

The most valuable alternative that is given up if a particular investment is undertaken

If the project being considered is using an asset that has alternative uses and value then it is a relevant cash flow

9-12

Opportunity Cost

For the new Blue Hen Brewery beer being considered the plan is to use an older brewery building that was purchased years ago for $100000 and after depreciation is currently on their books for $40000

Should this be considered in the cash flow analysis for evaluating the new higher-alcohol product for Blue Hen Brewery If so what is the relevant cash flow amount

9-13

Which of the following is correct with respect to how to treat the old building that will be used for the new Blue Hen Brewery productA Since it is currently not being used it should be viewed as

ldquofreerdquo and have no impact on the cash flow for analyzing the new investment opportunity (ie this is a sunk cost)

B The cash flow impact to the project should be $100000 since this is what the building cost years ago

C The cash flow impact to the project should be $40000 since this is what the book value of the building currently is

D None of the above

9-14

The opportunity cost is what the building and land could be sold for (ie the current market value of the building) This is the most valuable alternative that is given up if a

particular investment is undertaken So if the building could be sold for say $75000 then it

is this amount of $75000 that is a relevant cash flow in the investment decision

9-15

9-16

When a company launches a new product there could be ldquospilloverrdquo impacts on the sales of existing products Known as ldquoside effectsrdquo Can be positive ndash the new product increases the

sales of existing products Can be negative ndash the new product decreases

the sales of existing products (called ldquoerosionrdquo)

The cash flow of a new project that comes at the expense of a firmrsquos existing projects

Also known as ldquoproduct cannibalizationrdquo

9-17

Erosion

There are many very loyal customers of Blue Hen Brewery that drink only Blue Hen beer products

Some of these customers will buy the new higher-alcohol products instead of buying existing Blue Hen Brewery products This new product will ldquoeroderdquo or ldquocannibalizerdquo existing

product lines

This is a relevant cash flow impact that should be considered in the investment analysis for the new product

9-18

Thrill Rides is considering adding a new roller coaster to its amusement park The addition is expected to increase its overall ticket sales In particular the company expects to sell more tickets for its current roller coaster and experience extremely high demand for its new coaster Sales for its boat ride are expected to decline but food and beverage sales are expected to increase significantly All of the following are side effects associated with the new roller coaster with the exception of the

A Increased food sales

B Additional sales for the existing coaster

C Increased food costs from the higher food sales

D Reduced sales for the boat ride

E Ticket sales for the new coaster

9-19

9-20

Net working capital is Current Assets minus Current Liabilities

Current Assets Current Liabilitiesbull Cashbull Accounts Receivablebull Inventory

bull Accounts Payable

Most investment projects will impact a firmrsquos working capital Accounts receivable and inventory would increase to

support higher sales levels Accounts payable would likely increase as inventory

increases

These cash flows donrsquot appear on the income statement due to the GAAP matching principle Sales recorded when made not when cash is received Cost of goods sold recorded when sales are made

whether suppliers paid yet or not

9-21

In general most projects will require an investment in working capital at the beginning of the project This would need to be captured in the cash flow analysis

(as a cash outflow) at the time of launch or in the first year

At the end of the project the increase in working capital would no longer be needed as inventories are sold receivables collected etc This would need to be captured in the last year of the

project as a cash inflow from the release of working capital

9-22

We need to consider the tax impacts of all cash flows

Incremental cash flows are meant to be after-taxincremental cash flows

Which tax rate is most relevant for after-tax cash flowsA Marginal tax rateB Average tax rate

9-23

Many projects will require an investment in long-term assets at the beginning of the project This would need to be captured in the cash flow

analysis (as a cash outflow) at the time of launch

At the end of the project if there is value in this fixed asset the after-tax salvage value needs to be determined

9-24

If the salvage value is different from the book value of the asset then there is a tax effect which impacts cash flows

9-25

After-Tax Salvage

Salvage Amount= Tax rate [Salvage

Amount ndash Book Value]-

Book Value Initial Cost= - Accumulated

Depreciation

Straight-line depreciationD = (Initial cost ndash salvage) number of yearsStraight Line rarr Salvage Value

MACRS (Accelerated Depreciation)Depreciate rarr 0Recovery Period = Class Life12 Year ConventionMultiply percentage in table by the initial cost

9-26Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

You purchase a new piece of equipment for $100000 to be used in a project that will last 4 years If it is depreciated on a straight-line basis over 5 years what is the book value after 4 years

A $80000B $75000C $25000D $20000E $0

9-27

If you then sell this fixed asset at the end of the project (after 4 years) for $20000 what is your after-tax salvage value (Assume a 30 tax rate)

A $26000B $20000C $14000D $80000E $0

9-28

If you then sell this fixed asset at the end of the project (after 4 years) for $30000 what is your after-tax salvage value (Assume a 30 tax rate)

A $39000B $30000C $27000D $21000E $0

9-29

Net Salvage Cash Flow = SP - (SP-BV)(T)

WhereSP = Selling PriceBV = Book ValueT = Corporate tax rate

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-30

This represents the tax paid on the gain or the tax benefit of the loss

Depreciation and After-Tax Salvage Car purchased for $12000 5-year property Marginal tax rate = 34

9-31

Depreciation 5-year Asset

Year Beg BV Depr Deprec End BV1 1200000$ 2000 240000$ 960000$ 2 960000$ 3200 384000$ 576000$ 3 576000$ 1920 230400$ 345600$ 4 345600$ 1152 138240$ 207360$ 5 207360$ 1152 138240$ 69120$ 6 69120$ 576 69120$ -$

10000 1200000$

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Sheet1

Sheet2

Sheet3

Depreciation 5-year Asset

Year Beg BV Depr Deprec End BV1 1200000$ 2000 240000$ 960000$ 2 960000$ 3200 384000$ 576000$ 3 576000$ 1920 230400$ 345600$ 4 345600$ 1152 138240$ 207360$ 5 207360$ 1152 138240$ 69120$ 6 69120$ 576 69120$ -$

10000 1200000$

Net Salvage Cash Flow = SP - (SP-BV)(T)If sold at EOY 5 for $3000

NSCF = 3000 - (3000 - 69120)(34) = $221501= $3000 ndash 78499 = $221501

If sold at EOY 2 for $4000NSCF = 4000 - (4000 - 5760)(34) = $459840

= $4000 ndash (-59840) = $459840

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-32

What is the after-tax net salvage cash flow at end of year 5 and 2

Sheet1

Sheet2

Sheet3

A cost that has already been incurred and cannot be recouped

Therefore it should not be considered in an investment decision

9-33

Sunk Cost

The Blue Hen Brewery spent $100000 on market research and consulting fees to analyze their higher-alcohol beer product

Is this a sunk costA YesB NoC More information is needed

9-34

In Chapter 2 we learned that financing costs (eg interest expense) is a cash flow to creditors Interest expense is not an operating expense

We care only about cash flow from assets when we make investment decisions

Financing decisions are important but this is a separate question from deciding if an investment increases shareholder value or not Thus Financing costs are not a relevant cash flow in

analyzing an investment project

9-35

Relevant

bullOpportunity costsbullSide effectserosionbullNet working capitalbullTax effectsbullAfter-tax salvage value

Not Relevant

bull ldquoSunkrdquo costsbullFinancing costs

9-36

Which one of the following principles refers to the assumption that a project will be evaluated based on its incremental cash flows

A Forecast assumption principleB Base assumption principleC Fallacy principleD Erosion principle E Stand-alone principle

9-37

A cost that should be ignored when evaluating a project because that cost has already been incurred and cannot be recouped is referred to as a(n)

A Fixed costB Forgotten costC Variable costD Opportunity costE Sunk cost

9-38

Lake City Plastics currently produces plastic plates and silverware The company is considering expanding its product offerings to include plastic serving trays All of the following are relevant costs to this project with the exception of

A The cost of additional utilities required to operate the serving tray production operation

B Any change in the expected sales of plates and silverware gained from offering trays also

C A percentage of the current operating overhead

D The additional plastic raw materials that would be required

E The cost to acquire the forms needed to mold the trays

9-39

Which one of the following terms is most commonly used to describe the cash flows of a new project that are simply an offset of reduced cash flows for a current project

A Opportunity costB Sunk costC ErosionD Replicated flowsE Pirated flows

9-40

Pro Forma Financial

Statements and Cash Flows

9-41

The process to evaluate a proposed investment is as follows

9-42

Pro Forma Financial

Statements

Projected Cash Flows

Estimate Project Value

bull Assumptions are gathered and these serve as the basis for the pro forma financial statements

bull Incremental cash flows need to be determined Cash flow from

assets

bull Project value is determined NPV IRR PI Payback

Financial statements projecting future yearsrsquo operations Pro forma income

statement Pro forma balance sheet

Summarizes all relevant information for a project

9-43

Pro Forma Financial

Statements

Underwater Adventures Inc specializes in selling unique underwater experiences for scuba divers and snorkelers They have developed a ldquoshark attractantrdquo product to meet

this demand of customers who want to get close to sharks for better photos to post on social media

We have been asked to evaluate whether launching this product is a good idea

9-44

Estimated sales 50000 cans Sales Price per can $400 Cost per can $250 Estimated life 3 years Fixed costs $12000year Initial equipment cost $90000

100 depreciated over 3 year life Investment in NWC $20000 Tax rate 34 Cost of capital 20

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-45

9-46Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Sales (50000 units at $400unit) $200000Variable Costs ($250unit) ($125000)Gross Profit $75000Fixed Costs ($12000)Depreciation ($90000 3) ($30000)EBIT $33000Taxes (34) ($11200)

Net Income $21780

The pro forma income statement currently does not have any interest expense

Should interest expense be includedA YesB No

9-47

No interest expense is a financing expense and not a component of operating cash flow

We need to understand the cash flow impacts that result from changes in the balance sheet Investments in working capital (eg higher

inventory and accounts receivable) Investments in fixed assets (ie capital

requirements of the project) We donrsquot care about the financing aspects

of the balance sheet For the same reason we didnrsquot consider interest

expense in the pro forma income statement9-48

Estimated sales 50000 cans Sales Price per can $400 Cost per can $250 Estimated life 3 years Fixed costs $12000year Initial equipment cost $90000

100 depreciated over 3 year life Investment in NWC $20000 Tax rate 34 Cost of capital 20

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-49

9-50Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Year0 1 2 3

Net Working Capital

$20000 $20000 $20000 $20000

Net Fixed Assets

90000 60000 30000 0

Total Investment

$110000 $80000 $50000 $20000

Net Fixed Assets declines by the amount of depreciation each year

The process to evaluate a proposed investment is as follows

9-51

Pro Forma Financial

Statements

Projected Cash Flows

Estimate Project Value

9-52

Net Income Depreciation= +

Earnings Before Interest amp Taxes Depreciation Taxes= + -

Operating Cash Flow

Operating Cash Flow= minus

Net Capital

Spending

Changes in Net

Working Capital

Cash Flow from

Assetsminus

+ Interest

Will be 0 since interest is not a

relevant cash flow

9-53

Sales (50000 units at $400unit)

$200000

Variable Costs ($250unit) (125000)

Gross profit $ 75000

Fixed costs (12000)

Depreciation ($90000 3) (30000)

EBIT $ 33000

Taxes (34) (11220)

Net Income $ 21780=======

What is the operating cash flow

A $21750B $33000C $63000D $51780E $63780

9-54

Net Income Depreciation= + If no interest expense

Earnings Before Interest amp Taxes Depreciation Taxes= + -

Operating Cash Flow

$21780 $30000= +If no interest

expense

$33000 $30000 $11220= + -Operating Cash Flow

= $51780

9-55

Year

0 1 2 3

OCF $51780 $51780 $51780

NWC -$20000 20000

Capital Spending

-$90000

CFFA -$110000 $51780 $51780 $71780

Note Investment in NWC is recovered in final yearEquipment cost is a cash outflow in year 0

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

9-56Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Year 0 1 2 3Sales 200000 200000 200000Variable Costs 125000 125000 125000Gross Profit 75000 75000 75000Fixed Costs 12000 12000 12000Depreciation 30000 30000 30000EBIT 33000 33000 33000Taxes 11220 11220 11220Net Income 21780 21780 21780

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Pro Forma Income Statement

Cash Flows

The process to evaluate a proposed investment is as follows

9-57

Pro Forma Financial

Statements

Projected Cash Flows

Estimate Project Value

9-58

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Net Present Value $1064769IRR 2576

Cash Flows

We can estimate the project value by calculation the NPV and IRR

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

9-59

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Net Present Value $1064769IRR 2576

Cash Flows

Should we accept or reject the project

Acceptbull The NPV is gt 0bull The IRR is greater than the

required rate of return of 20

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

9-60

Year 0 1 2 3Sales 200000 200000 200000Variable Costs 125000 125000 125000Gross Profit 75000 75000 75000Fixed Costs 12000 12000 12000Depreciation 30000 30000 30000EBIT 33000 33000 33000Taxes 11220 11220 11220Net Income 21780 21780 21780

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Net Present Value $1064769IRR 2576

Pro Forma Income Statement

Cash Flows

OCF = EBIT + Depreciation ndash TaxesOCF = Net Income + Depreciation (if no interest)

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

A new project is expected to generate an operating cash flow of $38728 and will initially free up $11610 in net working capital Purchases of fixed assets costing $52800 will be required to start up the project What is the total cash flow for this project at time zero

A -$64410

B -$41190

C -$52800

D $25682

E $50338

9-61

The pro forma income statement for a proposed investment should include all of the following except

A Fixed costsB Forecasted salesC Depreciation expenseD TaxesE Changes in net working capital

9-62

9-63

Sales (50000 units at $400unit)

$200000

Variable Costs ($250unit) (125000)

Gross profit $ 75000

Fixed costs (12000)

Depreciation ($90000 3) (30000)

EBIT $ 33000

Taxes (34) (11220)

Net Income $ 21780=======

What is the operating cash flow (using the approaches already learned)

A $21750B $33000C $63000D $51780E $63780

9-64

Net Income Depreciation= + If no interest expense

Earnings Before Interest amp Taxes Depreciation Taxes= + -

Operating Cash Flow

$21780 $30000= +If no interest

expense

$33000 $30000 $11220= + -Operating Cash Flow

= $51780

Option 1

Option 2

The tax savings that results from the depreciation deduction

Calculated as depreciation multiplied by the corporate tax rate

9-65

Depreciation Tax Shield

9-66

(Sales ndash Costs) (1 ndash Tax Rate) = +Operating

Cash FlowDepreciation Tax Rate

Option 3

9-67

Sales (50000 units at $400unit)

$200000

Variable Costs ($250unit) (125000)

Gross profit $ 75000

Fixed costs (12000)

Depreciation ($90000 3) (30000)

EBIT $ 33000

Taxes (34) (11220)

Net Income $ 21780=======

What is the operating cash flow using the tax shield approach

9-68

($200000 -$137000) 66

+ $30000 34

= $51780

=

(Sales ndash Costs) (1 ndash Tax Rate) = +Operating

Cash FlowDepreciation Tax Rate

Which one of the following is the formula for computing operating cash flow

A Net Income + Depreciation + InterestB Net Income + Depreciation - InterestC EBIT + Depreciation - TaxesD (Sales ndash Costs) (1-Tax Rate) + (Depreciation Tax Rate)E A C and D

9-69

Evaluating NPV

Estimates

9-70

Calculating NPV is just an estimate based on the best information available The calculations could be wrong The confidence level in the analysis is a

judgment call A positive NPV suggests the project may be

worth doing But more analysis normally would be required

It is important to understand what the NPV looks like when things donrsquot go as planned

9-71

9-72

If NPV gt 0 Accept the project

Maybe accept the

project

Why maybe

9-73

What drives the NPV result

Projected future cash

flow

How do you know your projected estimates are

accurate

9-74

Forecasting Risk

We need to develop some tools to understand where potential estimate errors may exist

The possibility that errors (or poor estimates) in projected cash flows will lead to incorrect decisions

Also called ldquoestimation riskrdquo

The following tools will help assess the reasonableness of the NPV analysis

9-75

What-If Analysis

Scenario analysis Sensitivity analysis

Understand sources of value

Articulate what drives the investment to deliver a positive NPV

A positive NPV is creating value for the shareholders

We should understand what is the source of this value

9-76

Project Idea Potential Questions to Answer

New Product bull Is this new product better than the competitionbull Does this new product meet an unmet consumer need

Marketing Campaign

bull Is it reasonable that this marketing effort can increase sales as estimated

CompanyAcquisition

bull Are there sufficient synergies that can be realized to justify the purchase price

Cost Improvements

bull How realistic is it that the expected cost savings will truly materialize in the time frame noted (without unexpected negative impacts)

9-77

Scenario Analysis

The determination of what happens to NPV estimates when we ask what-if questions

Sensitivity Analysis

Investigation of what happens to NPV estimates when only one variable is changed

Scenario and Sensitivity Analysis

9-78

Examines several possible situations Worst case Base case or most likely case Best case

Provides a range of possible outcomes

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-79

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Base Lower UpperUnits 6000 5500 6500 Priceunit 8000$ 7500$ 8500$ Variable costunit 6000$ 5800$ 6200$ Fixed costyear 50000$ 45000$ 55000$

BASE BEST WORST

Initial investment 200000$ Depreciated to salvage value of 0 over 5 yearsDeprecyr 40000$

Project Life 5 yearsTax rate 34Required return 12

Note ldquoLowerrdquo ne WorstldquoUpperrdquo ne Best

9-80

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

BASE WORST BESTUnits 6000 5500 6500 Priceunit 8000$ 7500$ 8500$ Variable costunit 6000$ 6200$ 5800$ Fixed Cost 50000$ 55000$ 45000$

Sales 480000$ 412500$ 552500$ Variable Cost 360000 341000 377000Fixed Cost 50000 55000 45000Depreciation 40000 40000 40000EBIT 30000 (23500) 90500Taxes 10200 (7990) 30770Net Income 19800 (15510) 59730 + Deprec 40000 40000 40000

TOTAL CF 59800 24490 99730

NPV 15566 (111719) 159504

IRR 151 -144 409

9-81

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

Considers only a few possible outcomes

Assumes perfectly correlated inputs All ldquobadrdquo values occur together and

all ldquogoodrdquo values occur together More likely to have some ldquobadrdquo values

and some ldquogoodrdquo values

9-82

Shows how changes in an input variable affect NPV or IRR

Each variable is fixed except one Change one variable to see the effect

on NPV or IRR Answers ldquowhat ifrdquo questions

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-83

Unit Sales Sensitivity

$(8226)

$15566

$39357

-2000000

-1000000

000

1000000

2000000

3000000

4000000

5000000

5500 6000 6500

Unit Sales

NPV

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-84

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Sensitivity (2)

GRAPH

GRAPH

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Pro Forma

Chart3

Y
Unit Sales
NPV
Unit Sales Sensitivity
-82259060352458
155656169002312
393571398357083

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Sensitivity

Y
Unit Sales
NPV
Unit Sales Sensitivity

Sensitivity (2)

GRAPH

GRAPH

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Pro Forma

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Base Fixed Cost Fixed CostUnits 6000 6000 6000 Priceunit 80$ 80 80Variable costunit 60$ 60 60Fixed costyear 50000$ 55000 45000

Initial investment 200000$ Depreciated to salvage value of 0 over 5 yearsDeprecyr 40000$

Tax rate 34Required Return 12

BASE FC FCUnits 6000 6000 6000 Priceunit 80$ 80$ 80$ Variable costunit 60$ 60$ 60$ Fixed cost 50000$ 55000$ 45000$

Sales 480000$ 480000$ 480000$ Variable Cost 360000 360000 360000 Fixed Cost 50000 55000 45000 Depreciation 40000 40000 40000 EBIT 30000 25000 35000 Taxes 10200 8500 11900 Net Income 19800 16500 23100 + Deprec 40000 40000 40000

TOTAL CF 59800 56500 63100

NPV 15566$ 3670$ 27461$

Fixed Cost Sensitivity

$27461

$15566

$3670

000

500000

1000000

1500000

2000000

2500000

3000000

$45000 $50000 $55000Fixed Cost

NPV

9-85

SHARK

DEPRC

MMCC

Scenario

Sensitivity_A

Sensitivity_A

Y
Unit Sales
NPV
Unit Sales Sensitivity

Sensitivity (2)

Y
Fixed Cost
NPV
Fixed Cost Sensitivity

GRAPH

Pro Forma

Pro Forma

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Chart4

Y
Fixed Cost
NPV
Fixed Cost Sensitivity
274613783679698
155656169002312
36698554324927

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Sensitivity

Y
Unit Sales
NPV
Unit Sales Sensitivity

Sensitivity (2)

Y
Fixed Cost
NPV
Fixed Cost Sensitivity

GRAPH

Pro Forma

Pro Forma

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Strengths Identifies dangerous variables Gives some breakeven information

Weaknesses Says nothing about the likelihood of

change in a variable Ignores relationships among

variables

9-86

Neither provides a decision rule No indication whether a projectrsquos

expected return is sufficient to compensate for its risk

Ignores diversification Measures only stand-alone risk which

may not be the most relevant risk in capital budgeting

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-87

Scenario analysis is best described as the determination of the

A Most likely outcome for a projectB Reasonable range of project outcomesC Variable that has the greatest effect on a projectrsquos

outcomeD Effect that a projectrsquos initial cost has on the projectrsquos net

present valueE Change in a projectrsquos net present value given a stated

change in projected sales

9-88

  • FINC311 Principles of Finance
  • Corporate Finance Overview
  • Building Blocks for Decisions
  • Introduction Example
  • Introduction
  • Chapter Objectives
  • Slide Number 7
  • Cash Flow Introduction
  • Relevant Cash Flows
  • Relevant Cash Flows
  • Relevant Cash Flows - Watchouts
  • Opportunity Cost
  • Opportunity Cost Example
  • Opportunity Cost Example
  • Opportunity Cost Example
  • Side Effects
  • Side Effects Erosion
  • Erosion Example
  • Question ndash Side Effects
  • Net Working Capital
  • Changes in Net Working Capital
  • Changes in Net Working Capital
  • Tax Effects
  • After-Tax Salvage Value
  • After-Tax Salvage
  • Computing Depreciation
  • Question
  • Question
  • Question
  • Tax Effect on Salvage
  • Example
  • Salvage Value amp Tax Effects
  • Sunk Cost
  • Sunk Cost Example
  • Financing Costs
  • Relevant Cash Flows - Watchouts
  • Question
  • Question
  • Question
  • Question
  • Slide Number 41
  • Evaluating a Proposed Investment
  • Pro Forma Financial Statements
  • Shark Attractant Project
  • Shark Attractant Project- Assumptions
  • Pro Forma Income Statement
  • Where is the Interest Expense
  • Pro Forma Balance Sheet
  • Shark Attractant Project- Assumptions
  • Projected Capital Requirements
  • Evaluating a Proposed Investment
  • Cash Flow - Definitions
  • Pro Forma Income Statement
  • Operating Cash Flow
  • Projected Total Cash Flows
  • Shark Attractant Project ndash Cash Flows
  • Evaluating a Proposed Investment
  • Estimate Project Value
  • Making the Decision
  • Shark Attractant Project
  • Question
  • Question
  • Pro Forma Income Statement
  • Operating Cash Flow
  • Depreciation Tax Shield
  • The Tax Shield Approach to OCF
  • Pro Forma Income Statement
  • The Tax Shield Approach to OCF
  • Question
  • Slide Number 70
  • Intro to Evaluating NPV
  • NPV Decision Rule
  • Risk with NPV Analysis
  • NPV ndash Forecasting Risk
  • Tools to Evaluate NPV Analysis
  • Understanding Sources of Value
  • Scenario and Sensitivity Analysis
  • Slide Number 78
  • Scenario Analysis
  • Scenario Analysis Example
  • Scenario Analysis Example
  • Problems with Scenario Analysis
  • Sensitivity Analysis
  • Sensitivity Analysis Unit Sales
  • Sensitivity Analysis Fixed Costs
  • Sensitivity Analysis
  • Disadvantages of Sensitivity and Scenario Analysis
  • Question
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
-30 -20 -10 0 10 20 30
UNITS -70083865667486 -415340381449136 -129842106223412 155656169002312 441154444228038 726652719453761 101215099467949
FC 512529013034468 393571398357083 274613783679698 155656169002312 36698554324927 -82259060352458 -201216675029843
Sensitivity Analysis
-30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30
Base Units Units Units Units Units Units Units Base Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 80 80 80 80 80 80 80 Priceunit $ 80 80 80 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 60 60 60 Variable costunit $ 60 60 60 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 50000 50000 50000 50000 50000 Fixed costyear $ 50000 35000 40000 45000 50000 55000 60000 65000
Initial investment $ 200000 Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000 Deprecyr $ 40000
Tax rate 34 Tax rate 34
Required Return 12 Required Return 12
BASE UNITS UNITS UNITS UNITS UNITS UNITS UNITS BASE FC FC FC FC FC FC FC
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 Fixed cost $ 50000 $ 35000 $ 40000 $ 45000 $ 50000 $ 55000 $ 60000 $ 65000
Sales $ 480000 $ 336000 $ 384000 $ 432000 $ 480000 $ 528000 $ 576000 $ 624000 Sales $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000
Variable Cost 360000 252000 288000 324000 360000 396000 432000 468000 Variable Cost 360000 360000 360000 360000 360000 360000 360000 360000
Fixed Cost 50000 50000 50000 50000 50000 50000 50000 50000 Fixed Cost 50000 35000 40000 45000 50000 55000 60000 65000
Depreciation 40000 40000 40000 40000 40000 40000 40000 40000 Depreciation 40000 40000 40000 40000 40000 40000 40000 40000
EBIT 30000 (6000) 6000 18000 30000 42000 54000 66000 EBIT 30000 45000 40000 35000 30000 25000 20000 15000
Taxes 10200 (2040) 2040 6120 10200 14280 18360 22440 Taxes 10200 15300 13600 11900 10200 8500 6800 5100
Net Income 19800 (3960) 3960 11880 19800 27720 35640 43560 Net Income 19800 29700 26400 23100 19800 16500 13200 9900
+ Deprec 40000 40000 40000 40000 40000 40000 40000 40000 + Deprec 40000 40000 40000 40000 40000 40000 40000 40000
TOTAL CF 59800 36040 43960 51880 59800 67720 75640 83560 TOTAL CF 59800 69700 66400 63100 59800 56500 53200 49900
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Change in NPV -5502 -3668 -1834 00 1834 3668 5502 Change in NPV 2293 1528 764 00 -764 -1528 -2293
Change in Variable -300 -200 -100 00 100 200 300 Change in Variable -300 -200 -100 00 100 200 300
SENSITIVITY RATIO 1834 1834 1834 000 1834 1834 1834 SENSITIVITY RATIO -764 -764 -764 000 -764 -764 -764
INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship Sensitivity Ratio = ( Change in NPV) Change in Variable
Negative = Inverse relationship Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 69700 66400 63100 59800 56500 53200 49900
PV $ 215566 $ 129916 $ 158466 $ 187016 $ 215566 $ 244115 $ 272665 $ 301215
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 PV $ 215566 $ 251253 $ 239357 $ 227461 $ 215566 $ 203670 $ 191774 $ 179878
NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Sensitivity Analysis
Base Units Units Fixed Cost Fixed Cost
Units 6000 5500 6500 6000 6000
Priceunit $ 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 UNITS
Fixed costyear $ 50000 50000 50000 55000 45000 X 5500 6000 6500
Y $ (8226) $ 15566 $ 39357
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS UNITS FC FC
Units 6000 5500 6500 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 440000 $ 520000 $ 480000 $ 480000
Variable Cost 360000 330000 390000 360000 360000
Fixed Cost 50000 50000 50000 55000 45000
Depreciation 40000 40000 40000 40000 40000
EBIT 30000 20000 40000 25000 35000
Taxes 10200 6800 13600 8500 11900
Net Income 19800 13200 26400 16500 23100
+ Deprec 40000 40000 40000 40000 40000
TOTAL CF 59800 53200 66400 56500 63100
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
FC
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) X $ 45000 $ 50000 $ 55000
59800 53200 66400 56500 63100 Y $ 27461 $ 15566 $ 3670
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
PV $ 215566 $ 191774 $ 239357 $ 203670 $ 227461
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
45000
50000
55000
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
-30 -20 -10 0 10 20 30
UNITS -70083865667486 -415340381449136 -129842106223412 155656169002312 441154444228038 726652719453761 101215099467949
FC 512529013034468 393571398357083 274613783679698 155656169002312 36698554324927 -82259060352458 -201216675029843
Sensitivity Analysis
-30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30
Base Units Units Units Units Units Units Units Base Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 80 80 80 80 80 80 80 Priceunit $ 80 80 80 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 60 60 60 Variable costunit $ 60 60 60 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 50000 50000 50000 50000 50000 Fixed costyear $ 50000 35000 40000 45000 50000 55000 60000 65000
Initial investment $ 200000 Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000 Deprecyr $ 40000
Tax rate 34 Tax rate 34
Required Return 12 Required Return 12
BASE UNITS UNITS UNITS UNITS UNITS UNITS UNITS BASE FC FC FC FC FC FC FC
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 Fixed cost $ 50000 $ 35000 $ 40000 $ 45000 $ 50000 $ 55000 $ 60000 $ 65000
Sales $ 480000 $ 336000 $ 384000 $ 432000 $ 480000 $ 528000 $ 576000 $ 624000 Sales $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000
Variable Cost 360000 252000 288000 324000 360000 396000 432000 468000 Variable Cost 360000 360000 360000 360000 360000 360000 360000 360000
Fixed Cost 50000 50000 50000 50000 50000 50000 50000 50000 Fixed Cost 50000 35000 40000 45000 50000 55000 60000 65000
Depreciation 40000 40000 40000 40000 40000 40000 40000 40000 Depreciation 40000 40000 40000 40000 40000 40000 40000 40000
EBIT 30000 (6000) 6000 18000 30000 42000 54000 66000 EBIT 30000 45000 40000 35000 30000 25000 20000 15000
Taxes 10200 (2040) 2040 6120 10200 14280 18360 22440 Taxes 10200 15300 13600 11900 10200 8500 6800 5100
Net Income 19800 (3960) 3960 11880 19800 27720 35640 43560 Net Income 19800 29700 26400 23100 19800 16500 13200 9900
+ Deprec 40000 40000 40000 40000 40000 40000 40000 40000 + Deprec 40000 40000 40000 40000 40000 40000 40000 40000
TOTAL CF 59800 36040 43960 51880 59800 67720 75640 83560 TOTAL CF 59800 69700 66400 63100 59800 56500 53200 49900
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Change in NPV -5502 -3668 -1834 00 1834 3668 5502 Change in NPV 2293 1528 764 00 -764 -1528 -2293
Change in Variable -300 -200 -100 00 100 200 300 Change in Variable -300 -200 -100 00 100 200 300
SENSITIVITY RATIO 1834 1834 1834 000 1834 1834 1834 SENSITIVITY RATIO -764 -764 -764 000 -764 -764 -764
INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship Sensitivity Ratio = ( Change in NPV) Change in Variable
Negative = Inverse relationship Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 69700 66400 63100 59800 56500 53200 49900
PV $ 215566 $ 129916 $ 158466 $ 187016 $ 215566 $ 244115 $ 272665 $ 301215
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 PV $ 215566 $ 251253 $ 239357 $ 227461 $ 215566 $ 203670 $ 191774 $ 179878
NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Sensitivity Analysis
Base Units Units Fixed Cost Fixed Cost
Units 6000 5500 6500 6000 6000
Priceunit $ 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 UNITS
Fixed costyear $ 50000 50000 50000 55000 45000 X 5500 6000 6500
Y $ (8226) $ 15566 $ 39357
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS UNITS FC FC
Units 6000 5500 6500 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 440000 $ 520000 $ 480000 $ 480000
Variable Cost 360000 330000 390000 360000 360000
Fixed Cost 50000 50000 50000 55000 45000
Depreciation 40000 40000 40000 40000 40000
EBIT 30000 20000 40000 25000 35000
Taxes 10200 6800 13600 8500 11900
Net Income 19800 13200 26400 16500 23100
+ Deprec 40000 40000 40000 40000 40000
TOTAL CF 59800 53200 66400 56500 63100
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
FC
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) X $ 45000 $ 50000 $ 55000
59800 53200 66400 56500 63100 Y $ 27461 $ 15566 $ 3670
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
PV $ 215566 $ 191774 $ 239357 $ 203670 $ 227461
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
-30 -20 -10 0 10 20 30
UNITS -70083865667486 -415340381449136 -129842106223412 155656169002312 441154444228038 726652719453761 101215099467949
FC 512529013034468 393571398357083 274613783679698 155656169002312 36698554324927 -82259060352458 -201216675029843
Sensitivity Analysis
-30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30
Base Units Units Units Units Units Units Units Base Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 80 80 80 80 80 80 80 Priceunit $ 80 80 80 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 60 60 60 Variable costunit $ 60 60 60 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 50000 50000 50000 50000 50000 Fixed costyear $ 50000 35000 40000 45000 50000 55000 60000 65000
Initial investment $ 200000 Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000 Deprecyr $ 40000
Tax rate 34 Tax rate 34
Required Return 12 Required Return 12
BASE UNITS UNITS UNITS UNITS UNITS UNITS UNITS BASE FC FC FC FC FC FC FC
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 Fixed cost $ 50000 $ 35000 $ 40000 $ 45000 $ 50000 $ 55000 $ 60000 $ 65000
Sales $ 480000 $ 336000 $ 384000 $ 432000 $ 480000 $ 528000 $ 576000 $ 624000 Sales $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000
Variable Cost 360000 252000 288000 324000 360000 396000 432000 468000 Variable Cost 360000 360000 360000 360000 360000 360000 360000 360000
Fixed Cost 50000 50000 50000 50000 50000 50000 50000 50000 Fixed Cost 50000 35000 40000 45000 50000 55000 60000 65000
Depreciation 40000 40000 40000 40000 40000 40000 40000 40000 Depreciation 40000 40000 40000 40000 40000 40000 40000 40000
EBIT 30000 (6000) 6000 18000 30000 42000 54000 66000 EBIT 30000 45000 40000 35000 30000 25000 20000 15000
Taxes 10200 (2040) 2040 6120 10200 14280 18360 22440 Taxes 10200 15300 13600 11900 10200 8500 6800 5100
Net Income 19800 (3960) 3960 11880 19800 27720 35640 43560 Net Income 19800 29700 26400 23100 19800 16500 13200 9900
+ Deprec 40000 40000 40000 40000 40000 40000 40000 40000 + Deprec 40000 40000 40000 40000 40000 40000 40000 40000
TOTAL CF 59800 36040 43960 51880 59800 67720 75640 83560 TOTAL CF 59800 69700 66400 63100 59800 56500 53200 49900
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Change in NPV -5502 -3668 -1834 00 1834 3668 5502 Change in NPV 2293 1528 764 00 -764 -1528 -2293
Change in Variable -300 -200 -100 00 100 200 300 Change in Variable -300 -200 -100 00 100 200 300
SENSITIVITY RATIO 1834 1834 1834 000 1834 1834 1834 SENSITIVITY RATIO -764 -764 -764 000 -764 -764 -764
INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship Sensitivity Ratio = ( Change in NPV) Change in Variable
Negative = Inverse relationship Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 69700 66400 63100 59800 56500 53200 49900
PV $ 215566 $ 129916 $ 158466 $ 187016 $ 215566 $ 244115 $ 272665 $ 301215
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 PV $ 215566 $ 251253 $ 239357 $ 227461 $ 215566 $ 203670 $ 191774 $ 179878
NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Sensitivity Analysis
Base Units Units Fixed Cost Fixed Cost
Units 6000 5500 6500 6000 6000
Priceunit $ 80 80 80 80 80
Variable costunit $ 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 55000 45000 X 5500 6000 6500
Y $ (8226) $ 15566 $ 39357
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS UNITS FC FC
Units 6000 5500 6500 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 440000 $ 520000 $ 480000 $ 480000
Variable Cost 360000 330000 390000 360000 360000
Fixed Cost 50000 50000 50000 55000 45000
Depreciation 40000 40000 40000 40000 40000
EBIT 30000 20000 40000 25000 35000
Taxes 10200 6800 13600 8500 11900
Net Income 19800 13200 26400 16500 23100
+ Deprec 40000 40000 40000 40000 40000
TOTAL CF 59800 53200 66400 56500 63100
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
PV $ 215566 $ 191774 $ 239357 $ 203670 $ 227461
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
5500
6000
6500
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
-30 -20 -10 0 10 20 30
UNITS -70083865667486 -415340381449136 -129842106223412 155656169002312 441154444228038 726652719453761 101215099467949
FC 512529013034468 393571398357083 274613783679698 155656169002312 36698554324927 -82259060352458 -201216675029843
Sensitivity Analysis
-30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30
Base Units Units Units Units Units Units Units Base Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 80 80 80 80 80 80 80 Priceunit $ 80 80 80 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 60 60 60 Variable costunit $ 60 60 60 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 50000 50000 50000 50000 50000 Fixed costyear $ 50000 35000 40000 45000 50000 55000 60000 65000
Initial investment $ 200000 Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000 Deprecyr $ 40000
Tax rate 34 Tax rate 34
Required Return 12 Required Return 12
BASE UNITS UNITS UNITS UNITS UNITS UNITS UNITS BASE FC FC FC FC FC FC FC
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 Fixed cost $ 50000 $ 35000 $ 40000 $ 45000 $ 50000 $ 55000 $ 60000 $ 65000
Sales $ 480000 $ 336000 $ 384000 $ 432000 $ 480000 $ 528000 $ 576000 $ 624000 Sales $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000
Variable Cost 360000 252000 288000 324000 360000 396000 432000 468000 Variable Cost 360000 360000 360000 360000 360000 360000 360000 360000
Fixed Cost 50000 50000 50000 50000 50000 50000 50000 50000 Fixed Cost 50000 35000 40000 45000 50000 55000 60000 65000
Depreciation 40000 40000 40000 40000 40000 40000 40000 40000 Depreciation 40000 40000 40000 40000 40000 40000 40000 40000
EBIT 30000 (6000) 6000 18000 30000 42000 54000 66000 EBIT 30000 45000 40000 35000 30000 25000 20000 15000
Taxes 10200 (2040) 2040 6120 10200 14280 18360 22440 Taxes 10200 15300 13600 11900 10200 8500 6800 5100
Net Income 19800 (3960) 3960 11880 19800 27720 35640 43560 Net Income 19800 29700 26400 23100 19800 16500 13200 9900
+ Deprec 40000 40000 40000 40000 40000 40000 40000 40000 + Deprec 40000 40000 40000 40000 40000 40000 40000 40000
TOTAL CF 59800 36040 43960 51880 59800 67720 75640 83560 TOTAL CF 59800 69700 66400 63100 59800 56500 53200 49900
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Change in NPV -5502 -3668 -1834 00 1834 3668 5502 Change in NPV 2293 1528 764 00 -764 -1528 -2293
Change in Variable -300 -200 -100 00 100 200 300 Change in Variable -300 -200 -100 00 100 200 300
SENSITIVITY RATIO 1834 1834 1834 000 1834 1834 1834 SENSITIVITY RATIO -764 -764 -764 000 -764 -764 -764
INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship Sensitivity Ratio = ( Change in NPV) Change in Variable
Negative = Inverse relationship Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 69700 66400 63100 59800 56500 53200 49900
PV $ 215566 $ 129916 $ 158466 $ 187016 $ 215566 $ 244115 $ 272665 $ 301215
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 PV $ 215566 $ 251253 $ 239357 $ 227461 $ 215566 $ 203670 $ 191774 $ 179878
NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Sensitivity Analysis
Base Units Units Fixed Cost Fixed Cost
Units 6000 5500 6500 6000 6000
Priceunit $ 80 80 80 80 80
Variable costunit $ 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 55000 45000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS UNITS FC FC
Units 6000 5500 6500 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 440000 $ 520000 $ 480000 $ 480000
Variable Cost 360000 330000 390000 360000 360000
Fixed Cost 50000 50000 50000 55000 45000
Depreciation 40000 40000 40000 40000 40000
EBIT 30000 20000 40000 25000 35000
Taxes 10200 6800 13600 8500 11900
Net Income 19800 13200 26400 16500 23100
+ Deprec 40000 40000 40000 40000 40000
TOTAL CF 59800 53200 66400 56500 63100
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
PV $ 215566 $ 191774 $ 239357 $ 203670 $ 227461
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 893 893 893 445
Recovery Allowance 114320 195920 139920 99920 71440 71440 71440 35600
Book Value 685680 489760 349840 249920 178480 107040 35600 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71440 71440 71440 35600
EBT 40680 79080 195080 200080 203560 153560 103560 89400
Taxes 13831 26887 66327 68027 69210 52210 35210 30396
Net Operating Income 26849 52193 128753 132053 134350 101350 68350 59004
Add back Depreciation 114320 195920 139920 99920 71440 71440 71440 35600
CASH FLOW from Operations 141169 248113 268673 231973 205790 172790 139790 94604
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214040 189290 156290 266204
Discounted Cash Flows (820000) 93190 160388 164821 133060 106416 81835 58755 87023
NPV $ 65488
IRR 1724
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 893 893 893 445
Recovery Allowance 114320 195920 139920 99920 71440 71440 71440 35600
Book Value 685680 489760 349840 249920 178480 107040 35600 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71440 71440 71440 35600
EBT 40680 79080 195080 200080 203560 153560 103560 89400
Taxes 13831 26887 66327 68027 69210 52210 35210 30396
Net Operating Income 26849 52193 128753 132053 134350 101350 68350 59004
Add back Depreciation 114320 195920 139920 99920 71440 71440 71440 35600
CASH FLOW from Operations 141169 248113 268673 231973 205790 172790 139790 94604
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214040 189290 156290 266204
Discounted Cash Flows (820000) 93190 160388 164821 133060 106416 81835 58755 87023
NPV $ 65488
IRR 1724
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 893 893 893 445
Recovery Allowance 114320 195920 139920 99920 71440 71440 71440 35600
Book Value 685680 489760 349840 249920 178480 107040 35600 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71440 71440 71440 35600
EBT 40680 79080 195080 200080 203560 153560 103560 89400
Taxes 13831 26887 66327 68027 69210 52210 35210 30396
Net Operating Income 26849 52193 128753 132053 134350 101350 68350 59004
Add back Depreciation 114320 195920 139920 99920 71440 71440 71440 35600
CASH FLOW from Operations 141169 248113 268673 231973 205790 172790 139790 94604
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214040 189290 156290 266204
Discounted Cash Flows (820000) 93190 160388 164821 133060 106416 81835 58755 87023
NPV $ 65488
IRR 1724
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000

The role of the financial manager is to answer these questions

9-2

What Investments Do

You Make

How Do You Finance These Investments

How Will You Manage Daily

Financial Activities

Capital Budgeting Decisions

Capital Structure Decisions

Working Capital Decisions

Making Capital Investment Decisions (Ch 9)

Investment Criteria (Ch 8)

FV and PV ndash Multiple Cash Flows (Ch 5)

FV and PV ndash Single Lump Sum (Ch 4)

Analyzing Financial Statements (Ch 3)

Financial Statements and Cash Flow (Ch 2)

Goal of Financial Management (Ch 1)

9-3

Blue Hen Brewery has developed a new style of beer that they think will be a big seller in the marketplace Higher alcohol content 16 ounce cans vs 12 ounce bottles

We need to determine whether or not this investment will increase shareholder value

9-4

Cash flow estimates are the starting point in analyzing an investment The cash flows were simply given to us in Chapter 8

We now need to understand where these cash flows come from And determine which cash flows should be considered in

the investment decision

9-5

Understand how to determine the relevant cash flows for a proposed investment

Understand how to analyze a projectrsquos projected cash flows

Learn how to evaluate an estimated NPV Scenario analysis Sensitivity analysis

9-6

Relevant Cash Flows

9-7

Once a company decides to take on a new investment project their cash flows are going to be different If the Blue Hen Brewery takes on this new product

line their cash flows will be altered

The challenge for the Finance manager is to determine if the change in cash flows that result from the investment will increase the shareholder value

9-8

9-9

Incremental Cash Flows for a Project

Relevant Cash Flows

Include only cash flows that will only occur if the project is accepted Incremental cash flows

The stand-alone principle allows us to analyze each project in isolation from the firm simply by focusing on incremental cash flows

In general it is easy to determine cash flows that are directly linked to the investment project under consideration Incremental revenue from the new product (eg

sales of the new beer) Incremental costs from the new product (eg

brewing ingredients packaging marketing)

There are however some situations where it can be difficult to determine if cash flows are or are not relevant

9-10

Relevant

bullOpportunity costsbullSide effectserosionbullNet working capitalbullTax effectsbullAfter tax salvage value

Not Relevant

bull ldquoSunkrdquo costsbullFinancing costs

9-11

The most valuable alternative that is given up if a particular investment is undertaken

If the project being considered is using an asset that has alternative uses and value then it is a relevant cash flow

9-12

Opportunity Cost

For the new Blue Hen Brewery beer being considered the plan is to use an older brewery building that was purchased years ago for $100000 and after depreciation is currently on their books for $40000

Should this be considered in the cash flow analysis for evaluating the new higher-alcohol product for Blue Hen Brewery If so what is the relevant cash flow amount

9-13

Which of the following is correct with respect to how to treat the old building that will be used for the new Blue Hen Brewery productA Since it is currently not being used it should be viewed as

ldquofreerdquo and have no impact on the cash flow for analyzing the new investment opportunity (ie this is a sunk cost)

B The cash flow impact to the project should be $100000 since this is what the building cost years ago

C The cash flow impact to the project should be $40000 since this is what the book value of the building currently is

D None of the above

9-14

The opportunity cost is what the building and land could be sold for (ie the current market value of the building) This is the most valuable alternative that is given up if a

particular investment is undertaken So if the building could be sold for say $75000 then it

is this amount of $75000 that is a relevant cash flow in the investment decision

9-15

9-16

When a company launches a new product there could be ldquospilloverrdquo impacts on the sales of existing products Known as ldquoside effectsrdquo Can be positive ndash the new product increases the

sales of existing products Can be negative ndash the new product decreases

the sales of existing products (called ldquoerosionrdquo)

The cash flow of a new project that comes at the expense of a firmrsquos existing projects

Also known as ldquoproduct cannibalizationrdquo

9-17

Erosion

There are many very loyal customers of Blue Hen Brewery that drink only Blue Hen beer products

Some of these customers will buy the new higher-alcohol products instead of buying existing Blue Hen Brewery products This new product will ldquoeroderdquo or ldquocannibalizerdquo existing

product lines

This is a relevant cash flow impact that should be considered in the investment analysis for the new product

9-18

Thrill Rides is considering adding a new roller coaster to its amusement park The addition is expected to increase its overall ticket sales In particular the company expects to sell more tickets for its current roller coaster and experience extremely high demand for its new coaster Sales for its boat ride are expected to decline but food and beverage sales are expected to increase significantly All of the following are side effects associated with the new roller coaster with the exception of the

A Increased food sales

B Additional sales for the existing coaster

C Increased food costs from the higher food sales

D Reduced sales for the boat ride

E Ticket sales for the new coaster

9-19

9-20

Net working capital is Current Assets minus Current Liabilities

Current Assets Current Liabilitiesbull Cashbull Accounts Receivablebull Inventory

bull Accounts Payable

Most investment projects will impact a firmrsquos working capital Accounts receivable and inventory would increase to

support higher sales levels Accounts payable would likely increase as inventory

increases

These cash flows donrsquot appear on the income statement due to the GAAP matching principle Sales recorded when made not when cash is received Cost of goods sold recorded when sales are made

whether suppliers paid yet or not

9-21

In general most projects will require an investment in working capital at the beginning of the project This would need to be captured in the cash flow analysis

(as a cash outflow) at the time of launch or in the first year

At the end of the project the increase in working capital would no longer be needed as inventories are sold receivables collected etc This would need to be captured in the last year of the

project as a cash inflow from the release of working capital

9-22

We need to consider the tax impacts of all cash flows

Incremental cash flows are meant to be after-taxincremental cash flows

Which tax rate is most relevant for after-tax cash flowsA Marginal tax rateB Average tax rate

9-23

Many projects will require an investment in long-term assets at the beginning of the project This would need to be captured in the cash flow

analysis (as a cash outflow) at the time of launch

At the end of the project if there is value in this fixed asset the after-tax salvage value needs to be determined

9-24

If the salvage value is different from the book value of the asset then there is a tax effect which impacts cash flows

9-25

After-Tax Salvage

Salvage Amount= Tax rate [Salvage

Amount ndash Book Value]-

Book Value Initial Cost= - Accumulated

Depreciation

Straight-line depreciationD = (Initial cost ndash salvage) number of yearsStraight Line rarr Salvage Value

MACRS (Accelerated Depreciation)Depreciate rarr 0Recovery Period = Class Life12 Year ConventionMultiply percentage in table by the initial cost

9-26Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

You purchase a new piece of equipment for $100000 to be used in a project that will last 4 years If it is depreciated on a straight-line basis over 5 years what is the book value after 4 years

A $80000B $75000C $25000D $20000E $0

9-27

If you then sell this fixed asset at the end of the project (after 4 years) for $20000 what is your after-tax salvage value (Assume a 30 tax rate)

A $26000B $20000C $14000D $80000E $0

9-28

If you then sell this fixed asset at the end of the project (after 4 years) for $30000 what is your after-tax salvage value (Assume a 30 tax rate)

A $39000B $30000C $27000D $21000E $0

9-29

Net Salvage Cash Flow = SP - (SP-BV)(T)

WhereSP = Selling PriceBV = Book ValueT = Corporate tax rate

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-30

This represents the tax paid on the gain or the tax benefit of the loss

Depreciation and After-Tax Salvage Car purchased for $12000 5-year property Marginal tax rate = 34

9-31

Depreciation 5-year Asset

Year Beg BV Depr Deprec End BV1 1200000$ 2000 240000$ 960000$ 2 960000$ 3200 384000$ 576000$ 3 576000$ 1920 230400$ 345600$ 4 345600$ 1152 138240$ 207360$ 5 207360$ 1152 138240$ 69120$ 6 69120$ 576 69120$ -$

10000 1200000$

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Sheet1

Sheet2

Sheet3

Depreciation 5-year Asset

Year Beg BV Depr Deprec End BV1 1200000$ 2000 240000$ 960000$ 2 960000$ 3200 384000$ 576000$ 3 576000$ 1920 230400$ 345600$ 4 345600$ 1152 138240$ 207360$ 5 207360$ 1152 138240$ 69120$ 6 69120$ 576 69120$ -$

10000 1200000$

Net Salvage Cash Flow = SP - (SP-BV)(T)If sold at EOY 5 for $3000

NSCF = 3000 - (3000 - 69120)(34) = $221501= $3000 ndash 78499 = $221501

If sold at EOY 2 for $4000NSCF = 4000 - (4000 - 5760)(34) = $459840

= $4000 ndash (-59840) = $459840

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-32

What is the after-tax net salvage cash flow at end of year 5 and 2

Sheet1

Sheet2

Sheet3

A cost that has already been incurred and cannot be recouped

Therefore it should not be considered in an investment decision

9-33

Sunk Cost

The Blue Hen Brewery spent $100000 on market research and consulting fees to analyze their higher-alcohol beer product

Is this a sunk costA YesB NoC More information is needed

9-34

In Chapter 2 we learned that financing costs (eg interest expense) is a cash flow to creditors Interest expense is not an operating expense

We care only about cash flow from assets when we make investment decisions

Financing decisions are important but this is a separate question from deciding if an investment increases shareholder value or not Thus Financing costs are not a relevant cash flow in

analyzing an investment project

9-35

Relevant

bullOpportunity costsbullSide effectserosionbullNet working capitalbullTax effectsbullAfter-tax salvage value

Not Relevant

bull ldquoSunkrdquo costsbullFinancing costs

9-36

Which one of the following principles refers to the assumption that a project will be evaluated based on its incremental cash flows

A Forecast assumption principleB Base assumption principleC Fallacy principleD Erosion principle E Stand-alone principle

9-37

A cost that should be ignored when evaluating a project because that cost has already been incurred and cannot be recouped is referred to as a(n)

A Fixed costB Forgotten costC Variable costD Opportunity costE Sunk cost

9-38

Lake City Plastics currently produces plastic plates and silverware The company is considering expanding its product offerings to include plastic serving trays All of the following are relevant costs to this project with the exception of

A The cost of additional utilities required to operate the serving tray production operation

B Any change in the expected sales of plates and silverware gained from offering trays also

C A percentage of the current operating overhead

D The additional plastic raw materials that would be required

E The cost to acquire the forms needed to mold the trays

9-39

Which one of the following terms is most commonly used to describe the cash flows of a new project that are simply an offset of reduced cash flows for a current project

A Opportunity costB Sunk costC ErosionD Replicated flowsE Pirated flows

9-40

Pro Forma Financial

Statements and Cash Flows

9-41

The process to evaluate a proposed investment is as follows

9-42

Pro Forma Financial

Statements

Projected Cash Flows

Estimate Project Value

bull Assumptions are gathered and these serve as the basis for the pro forma financial statements

bull Incremental cash flows need to be determined Cash flow from

assets

bull Project value is determined NPV IRR PI Payback

Financial statements projecting future yearsrsquo operations Pro forma income

statement Pro forma balance sheet

Summarizes all relevant information for a project

9-43

Pro Forma Financial

Statements

Underwater Adventures Inc specializes in selling unique underwater experiences for scuba divers and snorkelers They have developed a ldquoshark attractantrdquo product to meet

this demand of customers who want to get close to sharks for better photos to post on social media

We have been asked to evaluate whether launching this product is a good idea

9-44

Estimated sales 50000 cans Sales Price per can $400 Cost per can $250 Estimated life 3 years Fixed costs $12000year Initial equipment cost $90000

100 depreciated over 3 year life Investment in NWC $20000 Tax rate 34 Cost of capital 20

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-45

9-46Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Sales (50000 units at $400unit) $200000Variable Costs ($250unit) ($125000)Gross Profit $75000Fixed Costs ($12000)Depreciation ($90000 3) ($30000)EBIT $33000Taxes (34) ($11200)

Net Income $21780

The pro forma income statement currently does not have any interest expense

Should interest expense be includedA YesB No

9-47

No interest expense is a financing expense and not a component of operating cash flow

We need to understand the cash flow impacts that result from changes in the balance sheet Investments in working capital (eg higher

inventory and accounts receivable) Investments in fixed assets (ie capital

requirements of the project) We donrsquot care about the financing aspects

of the balance sheet For the same reason we didnrsquot consider interest

expense in the pro forma income statement9-48

Estimated sales 50000 cans Sales Price per can $400 Cost per can $250 Estimated life 3 years Fixed costs $12000year Initial equipment cost $90000

100 depreciated over 3 year life Investment in NWC $20000 Tax rate 34 Cost of capital 20

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-49

9-50Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Year0 1 2 3

Net Working Capital

$20000 $20000 $20000 $20000

Net Fixed Assets

90000 60000 30000 0

Total Investment

$110000 $80000 $50000 $20000

Net Fixed Assets declines by the amount of depreciation each year

The process to evaluate a proposed investment is as follows

9-51

Pro Forma Financial

Statements

Projected Cash Flows

Estimate Project Value

9-52

Net Income Depreciation= +

Earnings Before Interest amp Taxes Depreciation Taxes= + -

Operating Cash Flow

Operating Cash Flow= minus

Net Capital

Spending

Changes in Net

Working Capital

Cash Flow from

Assetsminus

+ Interest

Will be 0 since interest is not a

relevant cash flow

9-53

Sales (50000 units at $400unit)

$200000

Variable Costs ($250unit) (125000)

Gross profit $ 75000

Fixed costs (12000)

Depreciation ($90000 3) (30000)

EBIT $ 33000

Taxes (34) (11220)

Net Income $ 21780=======

What is the operating cash flow

A $21750B $33000C $63000D $51780E $63780

9-54

Net Income Depreciation= + If no interest expense

Earnings Before Interest amp Taxes Depreciation Taxes= + -

Operating Cash Flow

$21780 $30000= +If no interest

expense

$33000 $30000 $11220= + -Operating Cash Flow

= $51780

9-55

Year

0 1 2 3

OCF $51780 $51780 $51780

NWC -$20000 20000

Capital Spending

-$90000

CFFA -$110000 $51780 $51780 $71780

Note Investment in NWC is recovered in final yearEquipment cost is a cash outflow in year 0

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

9-56Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Year 0 1 2 3Sales 200000 200000 200000Variable Costs 125000 125000 125000Gross Profit 75000 75000 75000Fixed Costs 12000 12000 12000Depreciation 30000 30000 30000EBIT 33000 33000 33000Taxes 11220 11220 11220Net Income 21780 21780 21780

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Pro Forma Income Statement

Cash Flows

The process to evaluate a proposed investment is as follows

9-57

Pro Forma Financial

Statements

Projected Cash Flows

Estimate Project Value

9-58

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Net Present Value $1064769IRR 2576

Cash Flows

We can estimate the project value by calculation the NPV and IRR

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

9-59

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Net Present Value $1064769IRR 2576

Cash Flows

Should we accept or reject the project

Acceptbull The NPV is gt 0bull The IRR is greater than the

required rate of return of 20

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

9-60

Year 0 1 2 3Sales 200000 200000 200000Variable Costs 125000 125000 125000Gross Profit 75000 75000 75000Fixed Costs 12000 12000 12000Depreciation 30000 30000 30000EBIT 33000 33000 33000Taxes 11220 11220 11220Net Income 21780 21780 21780

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Net Present Value $1064769IRR 2576

Pro Forma Income Statement

Cash Flows

OCF = EBIT + Depreciation ndash TaxesOCF = Net Income + Depreciation (if no interest)

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

A new project is expected to generate an operating cash flow of $38728 and will initially free up $11610 in net working capital Purchases of fixed assets costing $52800 will be required to start up the project What is the total cash flow for this project at time zero

A -$64410

B -$41190

C -$52800

D $25682

E $50338

9-61

The pro forma income statement for a proposed investment should include all of the following except

A Fixed costsB Forecasted salesC Depreciation expenseD TaxesE Changes in net working capital

9-62

9-63

Sales (50000 units at $400unit)

$200000

Variable Costs ($250unit) (125000)

Gross profit $ 75000

Fixed costs (12000)

Depreciation ($90000 3) (30000)

EBIT $ 33000

Taxes (34) (11220)

Net Income $ 21780=======

What is the operating cash flow (using the approaches already learned)

A $21750B $33000C $63000D $51780E $63780

9-64

Net Income Depreciation= + If no interest expense

Earnings Before Interest amp Taxes Depreciation Taxes= + -

Operating Cash Flow

$21780 $30000= +If no interest

expense

$33000 $30000 $11220= + -Operating Cash Flow

= $51780

Option 1

Option 2

The tax savings that results from the depreciation deduction

Calculated as depreciation multiplied by the corporate tax rate

9-65

Depreciation Tax Shield

9-66

(Sales ndash Costs) (1 ndash Tax Rate) = +Operating

Cash FlowDepreciation Tax Rate

Option 3

9-67

Sales (50000 units at $400unit)

$200000

Variable Costs ($250unit) (125000)

Gross profit $ 75000

Fixed costs (12000)

Depreciation ($90000 3) (30000)

EBIT $ 33000

Taxes (34) (11220)

Net Income $ 21780=======

What is the operating cash flow using the tax shield approach

9-68

($200000 -$137000) 66

+ $30000 34

= $51780

=

(Sales ndash Costs) (1 ndash Tax Rate) = +Operating

Cash FlowDepreciation Tax Rate

Which one of the following is the formula for computing operating cash flow

A Net Income + Depreciation + InterestB Net Income + Depreciation - InterestC EBIT + Depreciation - TaxesD (Sales ndash Costs) (1-Tax Rate) + (Depreciation Tax Rate)E A C and D

9-69

Evaluating NPV

Estimates

9-70

Calculating NPV is just an estimate based on the best information available The calculations could be wrong The confidence level in the analysis is a

judgment call A positive NPV suggests the project may be

worth doing But more analysis normally would be required

It is important to understand what the NPV looks like when things donrsquot go as planned

9-71

9-72

If NPV gt 0 Accept the project

Maybe accept the

project

Why maybe

9-73

What drives the NPV result

Projected future cash

flow

How do you know your projected estimates are

accurate

9-74

Forecasting Risk

We need to develop some tools to understand where potential estimate errors may exist

The possibility that errors (or poor estimates) in projected cash flows will lead to incorrect decisions

Also called ldquoestimation riskrdquo

The following tools will help assess the reasonableness of the NPV analysis

9-75

What-If Analysis

Scenario analysis Sensitivity analysis

Understand sources of value

Articulate what drives the investment to deliver a positive NPV

A positive NPV is creating value for the shareholders

We should understand what is the source of this value

9-76

Project Idea Potential Questions to Answer

New Product bull Is this new product better than the competitionbull Does this new product meet an unmet consumer need

Marketing Campaign

bull Is it reasonable that this marketing effort can increase sales as estimated

CompanyAcquisition

bull Are there sufficient synergies that can be realized to justify the purchase price

Cost Improvements

bull How realistic is it that the expected cost savings will truly materialize in the time frame noted (without unexpected negative impacts)

9-77

Scenario Analysis

The determination of what happens to NPV estimates when we ask what-if questions

Sensitivity Analysis

Investigation of what happens to NPV estimates when only one variable is changed

Scenario and Sensitivity Analysis

9-78

Examines several possible situations Worst case Base case or most likely case Best case

Provides a range of possible outcomes

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-79

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Base Lower UpperUnits 6000 5500 6500 Priceunit 8000$ 7500$ 8500$ Variable costunit 6000$ 5800$ 6200$ Fixed costyear 50000$ 45000$ 55000$

BASE BEST WORST

Initial investment 200000$ Depreciated to salvage value of 0 over 5 yearsDeprecyr 40000$

Project Life 5 yearsTax rate 34Required return 12

Note ldquoLowerrdquo ne WorstldquoUpperrdquo ne Best

9-80

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

BASE WORST BESTUnits 6000 5500 6500 Priceunit 8000$ 7500$ 8500$ Variable costunit 6000$ 6200$ 5800$ Fixed Cost 50000$ 55000$ 45000$

Sales 480000$ 412500$ 552500$ Variable Cost 360000 341000 377000Fixed Cost 50000 55000 45000Depreciation 40000 40000 40000EBIT 30000 (23500) 90500Taxes 10200 (7990) 30770Net Income 19800 (15510) 59730 + Deprec 40000 40000 40000

TOTAL CF 59800 24490 99730

NPV 15566 (111719) 159504

IRR 151 -144 409

9-81

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

Considers only a few possible outcomes

Assumes perfectly correlated inputs All ldquobadrdquo values occur together and

all ldquogoodrdquo values occur together More likely to have some ldquobadrdquo values

and some ldquogoodrdquo values

9-82

Shows how changes in an input variable affect NPV or IRR

Each variable is fixed except one Change one variable to see the effect

on NPV or IRR Answers ldquowhat ifrdquo questions

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-83

Unit Sales Sensitivity

$(8226)

$15566

$39357

-2000000

-1000000

000

1000000

2000000

3000000

4000000

5000000

5500 6000 6500

Unit Sales

NPV

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-84

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Sensitivity (2)

GRAPH

GRAPH

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Pro Forma

Chart3

Y
Unit Sales
NPV
Unit Sales Sensitivity
-82259060352458
155656169002312
393571398357083

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Sensitivity

Y
Unit Sales
NPV
Unit Sales Sensitivity

Sensitivity (2)

GRAPH

GRAPH

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Pro Forma

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Base Fixed Cost Fixed CostUnits 6000 6000 6000 Priceunit 80$ 80 80Variable costunit 60$ 60 60Fixed costyear 50000$ 55000 45000

Initial investment 200000$ Depreciated to salvage value of 0 over 5 yearsDeprecyr 40000$

Tax rate 34Required Return 12

BASE FC FCUnits 6000 6000 6000 Priceunit 80$ 80$ 80$ Variable costunit 60$ 60$ 60$ Fixed cost 50000$ 55000$ 45000$

Sales 480000$ 480000$ 480000$ Variable Cost 360000 360000 360000 Fixed Cost 50000 55000 45000 Depreciation 40000 40000 40000 EBIT 30000 25000 35000 Taxes 10200 8500 11900 Net Income 19800 16500 23100 + Deprec 40000 40000 40000

TOTAL CF 59800 56500 63100

NPV 15566$ 3670$ 27461$

Fixed Cost Sensitivity

$27461

$15566

$3670

000

500000

1000000

1500000

2000000

2500000

3000000

$45000 $50000 $55000Fixed Cost

NPV

9-85

SHARK

DEPRC

MMCC

Scenario

Sensitivity_A

Sensitivity_A

Y
Unit Sales
NPV
Unit Sales Sensitivity

Sensitivity (2)

Y
Fixed Cost
NPV
Fixed Cost Sensitivity

GRAPH

Pro Forma

Pro Forma

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Chart4

Y
Fixed Cost
NPV
Fixed Cost Sensitivity
274613783679698
155656169002312
36698554324927

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Sensitivity

Y
Unit Sales
NPV
Unit Sales Sensitivity

Sensitivity (2)

Y
Fixed Cost
NPV
Fixed Cost Sensitivity

GRAPH

Pro Forma

Pro Forma

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Strengths Identifies dangerous variables Gives some breakeven information

Weaknesses Says nothing about the likelihood of

change in a variable Ignores relationships among

variables

9-86

Neither provides a decision rule No indication whether a projectrsquos

expected return is sufficient to compensate for its risk

Ignores diversification Measures only stand-alone risk which

may not be the most relevant risk in capital budgeting

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-87

Scenario analysis is best described as the determination of the

A Most likely outcome for a projectB Reasonable range of project outcomesC Variable that has the greatest effect on a projectrsquos

outcomeD Effect that a projectrsquos initial cost has on the projectrsquos net

present valueE Change in a projectrsquos net present value given a stated

change in projected sales

9-88

  • FINC311 Principles of Finance
  • Corporate Finance Overview
  • Building Blocks for Decisions
  • Introduction Example
  • Introduction
  • Chapter Objectives
  • Slide Number 7
  • Cash Flow Introduction
  • Relevant Cash Flows
  • Relevant Cash Flows
  • Relevant Cash Flows - Watchouts
  • Opportunity Cost
  • Opportunity Cost Example
  • Opportunity Cost Example
  • Opportunity Cost Example
  • Side Effects
  • Side Effects Erosion
  • Erosion Example
  • Question ndash Side Effects
  • Net Working Capital
  • Changes in Net Working Capital
  • Changes in Net Working Capital
  • Tax Effects
  • After-Tax Salvage Value
  • After-Tax Salvage
  • Computing Depreciation
  • Question
  • Question
  • Question
  • Tax Effect on Salvage
  • Example
  • Salvage Value amp Tax Effects
  • Sunk Cost
  • Sunk Cost Example
  • Financing Costs
  • Relevant Cash Flows - Watchouts
  • Question
  • Question
  • Question
  • Question
  • Slide Number 41
  • Evaluating a Proposed Investment
  • Pro Forma Financial Statements
  • Shark Attractant Project
  • Shark Attractant Project- Assumptions
  • Pro Forma Income Statement
  • Where is the Interest Expense
  • Pro Forma Balance Sheet
  • Shark Attractant Project- Assumptions
  • Projected Capital Requirements
  • Evaluating a Proposed Investment
  • Cash Flow - Definitions
  • Pro Forma Income Statement
  • Operating Cash Flow
  • Projected Total Cash Flows
  • Shark Attractant Project ndash Cash Flows
  • Evaluating a Proposed Investment
  • Estimate Project Value
  • Making the Decision
  • Shark Attractant Project
  • Question
  • Question
  • Pro Forma Income Statement
  • Operating Cash Flow
  • Depreciation Tax Shield
  • The Tax Shield Approach to OCF
  • Pro Forma Income Statement
  • The Tax Shield Approach to OCF
  • Question
  • Slide Number 70
  • Intro to Evaluating NPV
  • NPV Decision Rule
  • Risk with NPV Analysis
  • NPV ndash Forecasting Risk
  • Tools to Evaluate NPV Analysis
  • Understanding Sources of Value
  • Scenario and Sensitivity Analysis
  • Slide Number 78
  • Scenario Analysis
  • Scenario Analysis Example
  • Scenario Analysis Example
  • Problems with Scenario Analysis
  • Sensitivity Analysis
  • Sensitivity Analysis Unit Sales
  • Sensitivity Analysis Fixed Costs
  • Sensitivity Analysis
  • Disadvantages of Sensitivity and Scenario Analysis
  • Question
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
-30 -20 -10 0 10 20 30
UNITS -70083865667486 -415340381449136 -129842106223412 155656169002312 441154444228038 726652719453761 101215099467949
FC 512529013034468 393571398357083 274613783679698 155656169002312 36698554324927 -82259060352458 -201216675029843
Sensitivity Analysis
-30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30
Base Units Units Units Units Units Units Units Base Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 80 80 80 80 80 80 80 Priceunit $ 80 80 80 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 60 60 60 Variable costunit $ 60 60 60 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 50000 50000 50000 50000 50000 Fixed costyear $ 50000 35000 40000 45000 50000 55000 60000 65000
Initial investment $ 200000 Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000 Deprecyr $ 40000
Tax rate 34 Tax rate 34
Required Return 12 Required Return 12
BASE UNITS UNITS UNITS UNITS UNITS UNITS UNITS BASE FC FC FC FC FC FC FC
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 Fixed cost $ 50000 $ 35000 $ 40000 $ 45000 $ 50000 $ 55000 $ 60000 $ 65000
Sales $ 480000 $ 336000 $ 384000 $ 432000 $ 480000 $ 528000 $ 576000 $ 624000 Sales $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000
Variable Cost 360000 252000 288000 324000 360000 396000 432000 468000 Variable Cost 360000 360000 360000 360000 360000 360000 360000 360000
Fixed Cost 50000 50000 50000 50000 50000 50000 50000 50000 Fixed Cost 50000 35000 40000 45000 50000 55000 60000 65000
Depreciation 40000 40000 40000 40000 40000 40000 40000 40000 Depreciation 40000 40000 40000 40000 40000 40000 40000 40000
EBIT 30000 (6000) 6000 18000 30000 42000 54000 66000 EBIT 30000 45000 40000 35000 30000 25000 20000 15000
Taxes 10200 (2040) 2040 6120 10200 14280 18360 22440 Taxes 10200 15300 13600 11900 10200 8500 6800 5100
Net Income 19800 (3960) 3960 11880 19800 27720 35640 43560 Net Income 19800 29700 26400 23100 19800 16500 13200 9900
+ Deprec 40000 40000 40000 40000 40000 40000 40000 40000 + Deprec 40000 40000 40000 40000 40000 40000 40000 40000
TOTAL CF 59800 36040 43960 51880 59800 67720 75640 83560 TOTAL CF 59800 69700 66400 63100 59800 56500 53200 49900
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Change in NPV -5502 -3668 -1834 00 1834 3668 5502 Change in NPV 2293 1528 764 00 -764 -1528 -2293
Change in Variable -300 -200 -100 00 100 200 300 Change in Variable -300 -200 -100 00 100 200 300
SENSITIVITY RATIO 1834 1834 1834 000 1834 1834 1834 SENSITIVITY RATIO -764 -764 -764 000 -764 -764 -764
INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship Sensitivity Ratio = ( Change in NPV) Change in Variable
Negative = Inverse relationship Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 69700 66400 63100 59800 56500 53200 49900
PV $ 215566 $ 129916 $ 158466 $ 187016 $ 215566 $ 244115 $ 272665 $ 301215
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 PV $ 215566 $ 251253 $ 239357 $ 227461 $ 215566 $ 203670 $ 191774 $ 179878
NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Sensitivity Analysis
Base Units Units Fixed Cost Fixed Cost
Units 6000 5500 6500 6000 6000
Priceunit $ 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 UNITS
Fixed costyear $ 50000 50000 50000 55000 45000 X 5500 6000 6500
Y $ (8226) $ 15566 $ 39357
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS UNITS FC FC
Units 6000 5500 6500 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 440000 $ 520000 $ 480000 $ 480000
Variable Cost 360000 330000 390000 360000 360000
Fixed Cost 50000 50000 50000 55000 45000
Depreciation 40000 40000 40000 40000 40000
EBIT 30000 20000 40000 25000 35000
Taxes 10200 6800 13600 8500 11900
Net Income 19800 13200 26400 16500 23100
+ Deprec 40000 40000 40000 40000 40000
TOTAL CF 59800 53200 66400 56500 63100
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
FC
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) X $ 45000 $ 50000 $ 55000
59800 53200 66400 56500 63100 Y $ 27461 $ 15566 $ 3670
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
PV $ 215566 $ 191774 $ 239357 $ 203670 $ 227461
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
45000
50000
55000
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
-30 -20 -10 0 10 20 30
UNITS -70083865667486 -415340381449136 -129842106223412 155656169002312 441154444228038 726652719453761 101215099467949
FC 512529013034468 393571398357083 274613783679698 155656169002312 36698554324927 -82259060352458 -201216675029843
Sensitivity Analysis
-30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30
Base Units Units Units Units Units Units Units Base Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 80 80 80 80 80 80 80 Priceunit $ 80 80 80 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 60 60 60 Variable costunit $ 60 60 60 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 50000 50000 50000 50000 50000 Fixed costyear $ 50000 35000 40000 45000 50000 55000 60000 65000
Initial investment $ 200000 Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000 Deprecyr $ 40000
Tax rate 34 Tax rate 34
Required Return 12 Required Return 12
BASE UNITS UNITS UNITS UNITS UNITS UNITS UNITS BASE FC FC FC FC FC FC FC
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 Fixed cost $ 50000 $ 35000 $ 40000 $ 45000 $ 50000 $ 55000 $ 60000 $ 65000
Sales $ 480000 $ 336000 $ 384000 $ 432000 $ 480000 $ 528000 $ 576000 $ 624000 Sales $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000
Variable Cost 360000 252000 288000 324000 360000 396000 432000 468000 Variable Cost 360000 360000 360000 360000 360000 360000 360000 360000
Fixed Cost 50000 50000 50000 50000 50000 50000 50000 50000 Fixed Cost 50000 35000 40000 45000 50000 55000 60000 65000
Depreciation 40000 40000 40000 40000 40000 40000 40000 40000 Depreciation 40000 40000 40000 40000 40000 40000 40000 40000
EBIT 30000 (6000) 6000 18000 30000 42000 54000 66000 EBIT 30000 45000 40000 35000 30000 25000 20000 15000
Taxes 10200 (2040) 2040 6120 10200 14280 18360 22440 Taxes 10200 15300 13600 11900 10200 8500 6800 5100
Net Income 19800 (3960) 3960 11880 19800 27720 35640 43560 Net Income 19800 29700 26400 23100 19800 16500 13200 9900
+ Deprec 40000 40000 40000 40000 40000 40000 40000 40000 + Deprec 40000 40000 40000 40000 40000 40000 40000 40000
TOTAL CF 59800 36040 43960 51880 59800 67720 75640 83560 TOTAL CF 59800 69700 66400 63100 59800 56500 53200 49900
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Change in NPV -5502 -3668 -1834 00 1834 3668 5502 Change in NPV 2293 1528 764 00 -764 -1528 -2293
Change in Variable -300 -200 -100 00 100 200 300 Change in Variable -300 -200 -100 00 100 200 300
SENSITIVITY RATIO 1834 1834 1834 000 1834 1834 1834 SENSITIVITY RATIO -764 -764 -764 000 -764 -764 -764
INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship Sensitivity Ratio = ( Change in NPV) Change in Variable
Negative = Inverse relationship Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 69700 66400 63100 59800 56500 53200 49900
PV $ 215566 $ 129916 $ 158466 $ 187016 $ 215566 $ 244115 $ 272665 $ 301215
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 PV $ 215566 $ 251253 $ 239357 $ 227461 $ 215566 $ 203670 $ 191774 $ 179878
NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Sensitivity Analysis
Base Units Units Fixed Cost Fixed Cost
Units 6000 5500 6500 6000 6000
Priceunit $ 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 UNITS
Fixed costyear $ 50000 50000 50000 55000 45000 X 5500 6000 6500
Y $ (8226) $ 15566 $ 39357
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS UNITS FC FC
Units 6000 5500 6500 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 440000 $ 520000 $ 480000 $ 480000
Variable Cost 360000 330000 390000 360000 360000
Fixed Cost 50000 50000 50000 55000 45000
Depreciation 40000 40000 40000 40000 40000
EBIT 30000 20000 40000 25000 35000
Taxes 10200 6800 13600 8500 11900
Net Income 19800 13200 26400 16500 23100
+ Deprec 40000 40000 40000 40000 40000
TOTAL CF 59800 53200 66400 56500 63100
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
FC
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) X $ 45000 $ 50000 $ 55000
59800 53200 66400 56500 63100 Y $ 27461 $ 15566 $ 3670
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
PV $ 215566 $ 191774 $ 239357 $ 203670 $ 227461
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
-30 -20 -10 0 10 20 30
UNITS -70083865667486 -415340381449136 -129842106223412 155656169002312 441154444228038 726652719453761 101215099467949
FC 512529013034468 393571398357083 274613783679698 155656169002312 36698554324927 -82259060352458 -201216675029843
Sensitivity Analysis
-30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30
Base Units Units Units Units Units Units Units Base Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 80 80 80 80 80 80 80 Priceunit $ 80 80 80 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 60 60 60 Variable costunit $ 60 60 60 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 50000 50000 50000 50000 50000 Fixed costyear $ 50000 35000 40000 45000 50000 55000 60000 65000
Initial investment $ 200000 Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000 Deprecyr $ 40000
Tax rate 34 Tax rate 34
Required Return 12 Required Return 12
BASE UNITS UNITS UNITS UNITS UNITS UNITS UNITS BASE FC FC FC FC FC FC FC
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 Fixed cost $ 50000 $ 35000 $ 40000 $ 45000 $ 50000 $ 55000 $ 60000 $ 65000
Sales $ 480000 $ 336000 $ 384000 $ 432000 $ 480000 $ 528000 $ 576000 $ 624000 Sales $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000
Variable Cost 360000 252000 288000 324000 360000 396000 432000 468000 Variable Cost 360000 360000 360000 360000 360000 360000 360000 360000
Fixed Cost 50000 50000 50000 50000 50000 50000 50000 50000 Fixed Cost 50000 35000 40000 45000 50000 55000 60000 65000
Depreciation 40000 40000 40000 40000 40000 40000 40000 40000 Depreciation 40000 40000 40000 40000 40000 40000 40000 40000
EBIT 30000 (6000) 6000 18000 30000 42000 54000 66000 EBIT 30000 45000 40000 35000 30000 25000 20000 15000
Taxes 10200 (2040) 2040 6120 10200 14280 18360 22440 Taxes 10200 15300 13600 11900 10200 8500 6800 5100
Net Income 19800 (3960) 3960 11880 19800 27720 35640 43560 Net Income 19800 29700 26400 23100 19800 16500 13200 9900
+ Deprec 40000 40000 40000 40000 40000 40000 40000 40000 + Deprec 40000 40000 40000 40000 40000 40000 40000 40000
TOTAL CF 59800 36040 43960 51880 59800 67720 75640 83560 TOTAL CF 59800 69700 66400 63100 59800 56500 53200 49900
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Change in NPV -5502 -3668 -1834 00 1834 3668 5502 Change in NPV 2293 1528 764 00 -764 -1528 -2293
Change in Variable -300 -200 -100 00 100 200 300 Change in Variable -300 -200 -100 00 100 200 300
SENSITIVITY RATIO 1834 1834 1834 000 1834 1834 1834 SENSITIVITY RATIO -764 -764 -764 000 -764 -764 -764
INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship Sensitivity Ratio = ( Change in NPV) Change in Variable
Negative = Inverse relationship Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 69700 66400 63100 59800 56500 53200 49900
PV $ 215566 $ 129916 $ 158466 $ 187016 $ 215566 $ 244115 $ 272665 $ 301215
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 PV $ 215566 $ 251253 $ 239357 $ 227461 $ 215566 $ 203670 $ 191774 $ 179878
NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Sensitivity Analysis
Base Units Units Fixed Cost Fixed Cost
Units 6000 5500 6500 6000 6000
Priceunit $ 80 80 80 80 80
Variable costunit $ 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 55000 45000 X 5500 6000 6500
Y $ (8226) $ 15566 $ 39357
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS UNITS FC FC
Units 6000 5500 6500 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 440000 $ 520000 $ 480000 $ 480000
Variable Cost 360000 330000 390000 360000 360000
Fixed Cost 50000 50000 50000 55000 45000
Depreciation 40000 40000 40000 40000 40000
EBIT 30000 20000 40000 25000 35000
Taxes 10200 6800 13600 8500 11900
Net Income 19800 13200 26400 16500 23100
+ Deprec 40000 40000 40000 40000 40000
TOTAL CF 59800 53200 66400 56500 63100
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
PV $ 215566 $ 191774 $ 239357 $ 203670 $ 227461
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
5500
6000
6500
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
-30 -20 -10 0 10 20 30
UNITS -70083865667486 -415340381449136 -129842106223412 155656169002312 441154444228038 726652719453761 101215099467949
FC 512529013034468 393571398357083 274613783679698 155656169002312 36698554324927 -82259060352458 -201216675029843
Sensitivity Analysis
-30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30
Base Units Units Units Units Units Units Units Base Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 80 80 80 80 80 80 80 Priceunit $ 80 80 80 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 60 60 60 Variable costunit $ 60 60 60 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 50000 50000 50000 50000 50000 Fixed costyear $ 50000 35000 40000 45000 50000 55000 60000 65000
Initial investment $ 200000 Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000 Deprecyr $ 40000
Tax rate 34 Tax rate 34
Required Return 12 Required Return 12
BASE UNITS UNITS UNITS UNITS UNITS UNITS UNITS BASE FC FC FC FC FC FC FC
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 Fixed cost $ 50000 $ 35000 $ 40000 $ 45000 $ 50000 $ 55000 $ 60000 $ 65000
Sales $ 480000 $ 336000 $ 384000 $ 432000 $ 480000 $ 528000 $ 576000 $ 624000 Sales $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000
Variable Cost 360000 252000 288000 324000 360000 396000 432000 468000 Variable Cost 360000 360000 360000 360000 360000 360000 360000 360000
Fixed Cost 50000 50000 50000 50000 50000 50000 50000 50000 Fixed Cost 50000 35000 40000 45000 50000 55000 60000 65000
Depreciation 40000 40000 40000 40000 40000 40000 40000 40000 Depreciation 40000 40000 40000 40000 40000 40000 40000 40000
EBIT 30000 (6000) 6000 18000 30000 42000 54000 66000 EBIT 30000 45000 40000 35000 30000 25000 20000 15000
Taxes 10200 (2040) 2040 6120 10200 14280 18360 22440 Taxes 10200 15300 13600 11900 10200 8500 6800 5100
Net Income 19800 (3960) 3960 11880 19800 27720 35640 43560 Net Income 19800 29700 26400 23100 19800 16500 13200 9900
+ Deprec 40000 40000 40000 40000 40000 40000 40000 40000 + Deprec 40000 40000 40000 40000 40000 40000 40000 40000
TOTAL CF 59800 36040 43960 51880 59800 67720 75640 83560 TOTAL CF 59800 69700 66400 63100 59800 56500 53200 49900
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Change in NPV -5502 -3668 -1834 00 1834 3668 5502 Change in NPV 2293 1528 764 00 -764 -1528 -2293
Change in Variable -300 -200 -100 00 100 200 300 Change in Variable -300 -200 -100 00 100 200 300
SENSITIVITY RATIO 1834 1834 1834 000 1834 1834 1834 SENSITIVITY RATIO -764 -764 -764 000 -764 -764 -764
INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship Sensitivity Ratio = ( Change in NPV) Change in Variable
Negative = Inverse relationship Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 69700 66400 63100 59800 56500 53200 49900
PV $ 215566 $ 129916 $ 158466 $ 187016 $ 215566 $ 244115 $ 272665 $ 301215
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 PV $ 215566 $ 251253 $ 239357 $ 227461 $ 215566 $ 203670 $ 191774 $ 179878
NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Sensitivity Analysis
Base Units Units Fixed Cost Fixed Cost
Units 6000 5500 6500 6000 6000
Priceunit $ 80 80 80 80 80
Variable costunit $ 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 55000 45000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS UNITS FC FC
Units 6000 5500 6500 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 440000 $ 520000 $ 480000 $ 480000
Variable Cost 360000 330000 390000 360000 360000
Fixed Cost 50000 50000 50000 55000 45000
Depreciation 40000 40000 40000 40000 40000
EBIT 30000 20000 40000 25000 35000
Taxes 10200 6800 13600 8500 11900
Net Income 19800 13200 26400 16500 23100
+ Deprec 40000 40000 40000 40000 40000
TOTAL CF 59800 53200 66400 56500 63100
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
PV $ 215566 $ 191774 $ 239357 $ 203670 $ 227461
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 893 893 893 445
Recovery Allowance 114320 195920 139920 99920 71440 71440 71440 35600
Book Value 685680 489760 349840 249920 178480 107040 35600 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71440 71440 71440 35600
EBT 40680 79080 195080 200080 203560 153560 103560 89400
Taxes 13831 26887 66327 68027 69210 52210 35210 30396
Net Operating Income 26849 52193 128753 132053 134350 101350 68350 59004
Add back Depreciation 114320 195920 139920 99920 71440 71440 71440 35600
CASH FLOW from Operations 141169 248113 268673 231973 205790 172790 139790 94604
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214040 189290 156290 266204
Discounted Cash Flows (820000) 93190 160388 164821 133060 106416 81835 58755 87023
NPV $ 65488
IRR 1724
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 893 893 893 445
Recovery Allowance 114320 195920 139920 99920 71440 71440 71440 35600
Book Value 685680 489760 349840 249920 178480 107040 35600 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71440 71440 71440 35600
EBT 40680 79080 195080 200080 203560 153560 103560 89400
Taxes 13831 26887 66327 68027 69210 52210 35210 30396
Net Operating Income 26849 52193 128753 132053 134350 101350 68350 59004
Add back Depreciation 114320 195920 139920 99920 71440 71440 71440 35600
CASH FLOW from Operations 141169 248113 268673 231973 205790 172790 139790 94604
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214040 189290 156290 266204
Discounted Cash Flows (820000) 93190 160388 164821 133060 106416 81835 58755 87023
NPV $ 65488
IRR 1724
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 893 893 893 445
Recovery Allowance 114320 195920 139920 99920 71440 71440 71440 35600
Book Value 685680 489760 349840 249920 178480 107040 35600 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71440 71440 71440 35600
EBT 40680 79080 195080 200080 203560 153560 103560 89400
Taxes 13831 26887 66327 68027 69210 52210 35210 30396
Net Operating Income 26849 52193 128753 132053 134350 101350 68350 59004
Add back Depreciation 114320 195920 139920 99920 71440 71440 71440 35600
CASH FLOW from Operations 141169 248113 268673 231973 205790 172790 139790 94604
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214040 189290 156290 266204
Discounted Cash Flows (820000) 93190 160388 164821 133060 106416 81835 58755 87023
NPV $ 65488
IRR 1724
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000

Making Capital Investment Decisions (Ch 9)

Investment Criteria (Ch 8)

FV and PV ndash Multiple Cash Flows (Ch 5)

FV and PV ndash Single Lump Sum (Ch 4)

Analyzing Financial Statements (Ch 3)

Financial Statements and Cash Flow (Ch 2)

Goal of Financial Management (Ch 1)

9-3

Blue Hen Brewery has developed a new style of beer that they think will be a big seller in the marketplace Higher alcohol content 16 ounce cans vs 12 ounce bottles

We need to determine whether or not this investment will increase shareholder value

9-4

Cash flow estimates are the starting point in analyzing an investment The cash flows were simply given to us in Chapter 8

We now need to understand where these cash flows come from And determine which cash flows should be considered in

the investment decision

9-5

Understand how to determine the relevant cash flows for a proposed investment

Understand how to analyze a projectrsquos projected cash flows

Learn how to evaluate an estimated NPV Scenario analysis Sensitivity analysis

9-6

Relevant Cash Flows

9-7

Once a company decides to take on a new investment project their cash flows are going to be different If the Blue Hen Brewery takes on this new product

line their cash flows will be altered

The challenge for the Finance manager is to determine if the change in cash flows that result from the investment will increase the shareholder value

9-8

9-9

Incremental Cash Flows for a Project

Relevant Cash Flows

Include only cash flows that will only occur if the project is accepted Incremental cash flows

The stand-alone principle allows us to analyze each project in isolation from the firm simply by focusing on incremental cash flows

In general it is easy to determine cash flows that are directly linked to the investment project under consideration Incremental revenue from the new product (eg

sales of the new beer) Incremental costs from the new product (eg

brewing ingredients packaging marketing)

There are however some situations where it can be difficult to determine if cash flows are or are not relevant

9-10

Relevant

bullOpportunity costsbullSide effectserosionbullNet working capitalbullTax effectsbullAfter tax salvage value

Not Relevant

bull ldquoSunkrdquo costsbullFinancing costs

9-11

The most valuable alternative that is given up if a particular investment is undertaken

If the project being considered is using an asset that has alternative uses and value then it is a relevant cash flow

9-12

Opportunity Cost

For the new Blue Hen Brewery beer being considered the plan is to use an older brewery building that was purchased years ago for $100000 and after depreciation is currently on their books for $40000

Should this be considered in the cash flow analysis for evaluating the new higher-alcohol product for Blue Hen Brewery If so what is the relevant cash flow amount

9-13

Which of the following is correct with respect to how to treat the old building that will be used for the new Blue Hen Brewery productA Since it is currently not being used it should be viewed as

ldquofreerdquo and have no impact on the cash flow for analyzing the new investment opportunity (ie this is a sunk cost)

B The cash flow impact to the project should be $100000 since this is what the building cost years ago

C The cash flow impact to the project should be $40000 since this is what the book value of the building currently is

D None of the above

9-14

The opportunity cost is what the building and land could be sold for (ie the current market value of the building) This is the most valuable alternative that is given up if a

particular investment is undertaken So if the building could be sold for say $75000 then it

is this amount of $75000 that is a relevant cash flow in the investment decision

9-15

9-16

When a company launches a new product there could be ldquospilloverrdquo impacts on the sales of existing products Known as ldquoside effectsrdquo Can be positive ndash the new product increases the

sales of existing products Can be negative ndash the new product decreases

the sales of existing products (called ldquoerosionrdquo)

The cash flow of a new project that comes at the expense of a firmrsquos existing projects

Also known as ldquoproduct cannibalizationrdquo

9-17

Erosion

There are many very loyal customers of Blue Hen Brewery that drink only Blue Hen beer products

Some of these customers will buy the new higher-alcohol products instead of buying existing Blue Hen Brewery products This new product will ldquoeroderdquo or ldquocannibalizerdquo existing

product lines

This is a relevant cash flow impact that should be considered in the investment analysis for the new product

9-18

Thrill Rides is considering adding a new roller coaster to its amusement park The addition is expected to increase its overall ticket sales In particular the company expects to sell more tickets for its current roller coaster and experience extremely high demand for its new coaster Sales for its boat ride are expected to decline but food and beverage sales are expected to increase significantly All of the following are side effects associated with the new roller coaster with the exception of the

A Increased food sales

B Additional sales for the existing coaster

C Increased food costs from the higher food sales

D Reduced sales for the boat ride

E Ticket sales for the new coaster

9-19

9-20

Net working capital is Current Assets minus Current Liabilities

Current Assets Current Liabilitiesbull Cashbull Accounts Receivablebull Inventory

bull Accounts Payable

Most investment projects will impact a firmrsquos working capital Accounts receivable and inventory would increase to

support higher sales levels Accounts payable would likely increase as inventory

increases

These cash flows donrsquot appear on the income statement due to the GAAP matching principle Sales recorded when made not when cash is received Cost of goods sold recorded when sales are made

whether suppliers paid yet or not

9-21

In general most projects will require an investment in working capital at the beginning of the project This would need to be captured in the cash flow analysis

(as a cash outflow) at the time of launch or in the first year

At the end of the project the increase in working capital would no longer be needed as inventories are sold receivables collected etc This would need to be captured in the last year of the

project as a cash inflow from the release of working capital

9-22

We need to consider the tax impacts of all cash flows

Incremental cash flows are meant to be after-taxincremental cash flows

Which tax rate is most relevant for after-tax cash flowsA Marginal tax rateB Average tax rate

9-23

Many projects will require an investment in long-term assets at the beginning of the project This would need to be captured in the cash flow

analysis (as a cash outflow) at the time of launch

At the end of the project if there is value in this fixed asset the after-tax salvage value needs to be determined

9-24

If the salvage value is different from the book value of the asset then there is a tax effect which impacts cash flows

9-25

After-Tax Salvage

Salvage Amount= Tax rate [Salvage

Amount ndash Book Value]-

Book Value Initial Cost= - Accumulated

Depreciation

Straight-line depreciationD = (Initial cost ndash salvage) number of yearsStraight Line rarr Salvage Value

MACRS (Accelerated Depreciation)Depreciate rarr 0Recovery Period = Class Life12 Year ConventionMultiply percentage in table by the initial cost

9-26Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

You purchase a new piece of equipment for $100000 to be used in a project that will last 4 years If it is depreciated on a straight-line basis over 5 years what is the book value after 4 years

A $80000B $75000C $25000D $20000E $0

9-27

If you then sell this fixed asset at the end of the project (after 4 years) for $20000 what is your after-tax salvage value (Assume a 30 tax rate)

A $26000B $20000C $14000D $80000E $0

9-28

If you then sell this fixed asset at the end of the project (after 4 years) for $30000 what is your after-tax salvage value (Assume a 30 tax rate)

A $39000B $30000C $27000D $21000E $0

9-29

Net Salvage Cash Flow = SP - (SP-BV)(T)

WhereSP = Selling PriceBV = Book ValueT = Corporate tax rate

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-30

This represents the tax paid on the gain or the tax benefit of the loss

Depreciation and After-Tax Salvage Car purchased for $12000 5-year property Marginal tax rate = 34

9-31

Depreciation 5-year Asset

Year Beg BV Depr Deprec End BV1 1200000$ 2000 240000$ 960000$ 2 960000$ 3200 384000$ 576000$ 3 576000$ 1920 230400$ 345600$ 4 345600$ 1152 138240$ 207360$ 5 207360$ 1152 138240$ 69120$ 6 69120$ 576 69120$ -$

10000 1200000$

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Sheet1

Sheet2

Sheet3

Depreciation 5-year Asset

Year Beg BV Depr Deprec End BV1 1200000$ 2000 240000$ 960000$ 2 960000$ 3200 384000$ 576000$ 3 576000$ 1920 230400$ 345600$ 4 345600$ 1152 138240$ 207360$ 5 207360$ 1152 138240$ 69120$ 6 69120$ 576 69120$ -$

10000 1200000$

Net Salvage Cash Flow = SP - (SP-BV)(T)If sold at EOY 5 for $3000

NSCF = 3000 - (3000 - 69120)(34) = $221501= $3000 ndash 78499 = $221501

If sold at EOY 2 for $4000NSCF = 4000 - (4000 - 5760)(34) = $459840

= $4000 ndash (-59840) = $459840

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-32

What is the after-tax net salvage cash flow at end of year 5 and 2

Sheet1

Sheet2

Sheet3

A cost that has already been incurred and cannot be recouped

Therefore it should not be considered in an investment decision

9-33

Sunk Cost

The Blue Hen Brewery spent $100000 on market research and consulting fees to analyze their higher-alcohol beer product

Is this a sunk costA YesB NoC More information is needed

9-34

In Chapter 2 we learned that financing costs (eg interest expense) is a cash flow to creditors Interest expense is not an operating expense

We care only about cash flow from assets when we make investment decisions

Financing decisions are important but this is a separate question from deciding if an investment increases shareholder value or not Thus Financing costs are not a relevant cash flow in

analyzing an investment project

9-35

Relevant

bullOpportunity costsbullSide effectserosionbullNet working capitalbullTax effectsbullAfter-tax salvage value

Not Relevant

bull ldquoSunkrdquo costsbullFinancing costs

9-36

Which one of the following principles refers to the assumption that a project will be evaluated based on its incremental cash flows

A Forecast assumption principleB Base assumption principleC Fallacy principleD Erosion principle E Stand-alone principle

9-37

A cost that should be ignored when evaluating a project because that cost has already been incurred and cannot be recouped is referred to as a(n)

A Fixed costB Forgotten costC Variable costD Opportunity costE Sunk cost

9-38

Lake City Plastics currently produces plastic plates and silverware The company is considering expanding its product offerings to include plastic serving trays All of the following are relevant costs to this project with the exception of

A The cost of additional utilities required to operate the serving tray production operation

B Any change in the expected sales of plates and silverware gained from offering trays also

C A percentage of the current operating overhead

D The additional plastic raw materials that would be required

E The cost to acquire the forms needed to mold the trays

9-39

Which one of the following terms is most commonly used to describe the cash flows of a new project that are simply an offset of reduced cash flows for a current project

A Opportunity costB Sunk costC ErosionD Replicated flowsE Pirated flows

9-40

Pro Forma Financial

Statements and Cash Flows

9-41

The process to evaluate a proposed investment is as follows

9-42

Pro Forma Financial

Statements

Projected Cash Flows

Estimate Project Value

bull Assumptions are gathered and these serve as the basis for the pro forma financial statements

bull Incremental cash flows need to be determined Cash flow from

assets

bull Project value is determined NPV IRR PI Payback

Financial statements projecting future yearsrsquo operations Pro forma income

statement Pro forma balance sheet

Summarizes all relevant information for a project

9-43

Pro Forma Financial

Statements

Underwater Adventures Inc specializes in selling unique underwater experiences for scuba divers and snorkelers They have developed a ldquoshark attractantrdquo product to meet

this demand of customers who want to get close to sharks for better photos to post on social media

We have been asked to evaluate whether launching this product is a good idea

9-44

Estimated sales 50000 cans Sales Price per can $400 Cost per can $250 Estimated life 3 years Fixed costs $12000year Initial equipment cost $90000

100 depreciated over 3 year life Investment in NWC $20000 Tax rate 34 Cost of capital 20

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-45

9-46Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Sales (50000 units at $400unit) $200000Variable Costs ($250unit) ($125000)Gross Profit $75000Fixed Costs ($12000)Depreciation ($90000 3) ($30000)EBIT $33000Taxes (34) ($11200)

Net Income $21780

The pro forma income statement currently does not have any interest expense

Should interest expense be includedA YesB No

9-47

No interest expense is a financing expense and not a component of operating cash flow

We need to understand the cash flow impacts that result from changes in the balance sheet Investments in working capital (eg higher

inventory and accounts receivable) Investments in fixed assets (ie capital

requirements of the project) We donrsquot care about the financing aspects

of the balance sheet For the same reason we didnrsquot consider interest

expense in the pro forma income statement9-48

Estimated sales 50000 cans Sales Price per can $400 Cost per can $250 Estimated life 3 years Fixed costs $12000year Initial equipment cost $90000

100 depreciated over 3 year life Investment in NWC $20000 Tax rate 34 Cost of capital 20

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-49

9-50Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Year0 1 2 3

Net Working Capital

$20000 $20000 $20000 $20000

Net Fixed Assets

90000 60000 30000 0

Total Investment

$110000 $80000 $50000 $20000

Net Fixed Assets declines by the amount of depreciation each year

The process to evaluate a proposed investment is as follows

9-51

Pro Forma Financial

Statements

Projected Cash Flows

Estimate Project Value

9-52

Net Income Depreciation= +

Earnings Before Interest amp Taxes Depreciation Taxes= + -

Operating Cash Flow

Operating Cash Flow= minus

Net Capital

Spending

Changes in Net

Working Capital

Cash Flow from

Assetsminus

+ Interest

Will be 0 since interest is not a

relevant cash flow

9-53

Sales (50000 units at $400unit)

$200000

Variable Costs ($250unit) (125000)

Gross profit $ 75000

Fixed costs (12000)

Depreciation ($90000 3) (30000)

EBIT $ 33000

Taxes (34) (11220)

Net Income $ 21780=======

What is the operating cash flow

A $21750B $33000C $63000D $51780E $63780

9-54

Net Income Depreciation= + If no interest expense

Earnings Before Interest amp Taxes Depreciation Taxes= + -

Operating Cash Flow

$21780 $30000= +If no interest

expense

$33000 $30000 $11220= + -Operating Cash Flow

= $51780

9-55

Year

0 1 2 3

OCF $51780 $51780 $51780

NWC -$20000 20000

Capital Spending

-$90000

CFFA -$110000 $51780 $51780 $71780

Note Investment in NWC is recovered in final yearEquipment cost is a cash outflow in year 0

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

9-56Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Year 0 1 2 3Sales 200000 200000 200000Variable Costs 125000 125000 125000Gross Profit 75000 75000 75000Fixed Costs 12000 12000 12000Depreciation 30000 30000 30000EBIT 33000 33000 33000Taxes 11220 11220 11220Net Income 21780 21780 21780

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Pro Forma Income Statement

Cash Flows

The process to evaluate a proposed investment is as follows

9-57

Pro Forma Financial

Statements

Projected Cash Flows

Estimate Project Value

9-58

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Net Present Value $1064769IRR 2576

Cash Flows

We can estimate the project value by calculation the NPV and IRR

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

9-59

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Net Present Value $1064769IRR 2576

Cash Flows

Should we accept or reject the project

Acceptbull The NPV is gt 0bull The IRR is greater than the

required rate of return of 20

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

9-60

Year 0 1 2 3Sales 200000 200000 200000Variable Costs 125000 125000 125000Gross Profit 75000 75000 75000Fixed Costs 12000 12000 12000Depreciation 30000 30000 30000EBIT 33000 33000 33000Taxes 11220 11220 11220Net Income 21780 21780 21780

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Net Present Value $1064769IRR 2576

Pro Forma Income Statement

Cash Flows

OCF = EBIT + Depreciation ndash TaxesOCF = Net Income + Depreciation (if no interest)

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

A new project is expected to generate an operating cash flow of $38728 and will initially free up $11610 in net working capital Purchases of fixed assets costing $52800 will be required to start up the project What is the total cash flow for this project at time zero

A -$64410

B -$41190

C -$52800

D $25682

E $50338

9-61

The pro forma income statement for a proposed investment should include all of the following except

A Fixed costsB Forecasted salesC Depreciation expenseD TaxesE Changes in net working capital

9-62

9-63

Sales (50000 units at $400unit)

$200000

Variable Costs ($250unit) (125000)

Gross profit $ 75000

Fixed costs (12000)

Depreciation ($90000 3) (30000)

EBIT $ 33000

Taxes (34) (11220)

Net Income $ 21780=======

What is the operating cash flow (using the approaches already learned)

A $21750B $33000C $63000D $51780E $63780

9-64

Net Income Depreciation= + If no interest expense

Earnings Before Interest amp Taxes Depreciation Taxes= + -

Operating Cash Flow

$21780 $30000= +If no interest

expense

$33000 $30000 $11220= + -Operating Cash Flow

= $51780

Option 1

Option 2

The tax savings that results from the depreciation deduction

Calculated as depreciation multiplied by the corporate tax rate

9-65

Depreciation Tax Shield

9-66

(Sales ndash Costs) (1 ndash Tax Rate) = +Operating

Cash FlowDepreciation Tax Rate

Option 3

9-67

Sales (50000 units at $400unit)

$200000

Variable Costs ($250unit) (125000)

Gross profit $ 75000

Fixed costs (12000)

Depreciation ($90000 3) (30000)

EBIT $ 33000

Taxes (34) (11220)

Net Income $ 21780=======

What is the operating cash flow using the tax shield approach

9-68

($200000 -$137000) 66

+ $30000 34

= $51780

=

(Sales ndash Costs) (1 ndash Tax Rate) = +Operating

Cash FlowDepreciation Tax Rate

Which one of the following is the formula for computing operating cash flow

A Net Income + Depreciation + InterestB Net Income + Depreciation - InterestC EBIT + Depreciation - TaxesD (Sales ndash Costs) (1-Tax Rate) + (Depreciation Tax Rate)E A C and D

9-69

Evaluating NPV

Estimates

9-70

Calculating NPV is just an estimate based on the best information available The calculations could be wrong The confidence level in the analysis is a

judgment call A positive NPV suggests the project may be

worth doing But more analysis normally would be required

It is important to understand what the NPV looks like when things donrsquot go as planned

9-71

9-72

If NPV gt 0 Accept the project

Maybe accept the

project

Why maybe

9-73

What drives the NPV result

Projected future cash

flow

How do you know your projected estimates are

accurate

9-74

Forecasting Risk

We need to develop some tools to understand where potential estimate errors may exist

The possibility that errors (or poor estimates) in projected cash flows will lead to incorrect decisions

Also called ldquoestimation riskrdquo

The following tools will help assess the reasonableness of the NPV analysis

9-75

What-If Analysis

Scenario analysis Sensitivity analysis

Understand sources of value

Articulate what drives the investment to deliver a positive NPV

A positive NPV is creating value for the shareholders

We should understand what is the source of this value

9-76

Project Idea Potential Questions to Answer

New Product bull Is this new product better than the competitionbull Does this new product meet an unmet consumer need

Marketing Campaign

bull Is it reasonable that this marketing effort can increase sales as estimated

CompanyAcquisition

bull Are there sufficient synergies that can be realized to justify the purchase price

Cost Improvements

bull How realistic is it that the expected cost savings will truly materialize in the time frame noted (without unexpected negative impacts)

9-77

Scenario Analysis

The determination of what happens to NPV estimates when we ask what-if questions

Sensitivity Analysis

Investigation of what happens to NPV estimates when only one variable is changed

Scenario and Sensitivity Analysis

9-78

Examines several possible situations Worst case Base case or most likely case Best case

Provides a range of possible outcomes

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-79

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Base Lower UpperUnits 6000 5500 6500 Priceunit 8000$ 7500$ 8500$ Variable costunit 6000$ 5800$ 6200$ Fixed costyear 50000$ 45000$ 55000$

BASE BEST WORST

Initial investment 200000$ Depreciated to salvage value of 0 over 5 yearsDeprecyr 40000$

Project Life 5 yearsTax rate 34Required return 12

Note ldquoLowerrdquo ne WorstldquoUpperrdquo ne Best

9-80

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

BASE WORST BESTUnits 6000 5500 6500 Priceunit 8000$ 7500$ 8500$ Variable costunit 6000$ 6200$ 5800$ Fixed Cost 50000$ 55000$ 45000$

Sales 480000$ 412500$ 552500$ Variable Cost 360000 341000 377000Fixed Cost 50000 55000 45000Depreciation 40000 40000 40000EBIT 30000 (23500) 90500Taxes 10200 (7990) 30770Net Income 19800 (15510) 59730 + Deprec 40000 40000 40000

TOTAL CF 59800 24490 99730

NPV 15566 (111719) 159504

IRR 151 -144 409

9-81

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

Considers only a few possible outcomes

Assumes perfectly correlated inputs All ldquobadrdquo values occur together and

all ldquogoodrdquo values occur together More likely to have some ldquobadrdquo values

and some ldquogoodrdquo values

9-82

Shows how changes in an input variable affect NPV or IRR

Each variable is fixed except one Change one variable to see the effect

on NPV or IRR Answers ldquowhat ifrdquo questions

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-83

Unit Sales Sensitivity

$(8226)

$15566

$39357

-2000000

-1000000

000

1000000

2000000

3000000

4000000

5000000

5500 6000 6500

Unit Sales

NPV

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-84

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Sensitivity (2)

GRAPH

GRAPH

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Pro Forma

Chart3

Y
Unit Sales
NPV
Unit Sales Sensitivity
-82259060352458
155656169002312
393571398357083

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Sensitivity

Y
Unit Sales
NPV
Unit Sales Sensitivity

Sensitivity (2)

GRAPH

GRAPH

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Pro Forma

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Base Fixed Cost Fixed CostUnits 6000 6000 6000 Priceunit 80$ 80 80Variable costunit 60$ 60 60Fixed costyear 50000$ 55000 45000

Initial investment 200000$ Depreciated to salvage value of 0 over 5 yearsDeprecyr 40000$

Tax rate 34Required Return 12

BASE FC FCUnits 6000 6000 6000 Priceunit 80$ 80$ 80$ Variable costunit 60$ 60$ 60$ Fixed cost 50000$ 55000$ 45000$

Sales 480000$ 480000$ 480000$ Variable Cost 360000 360000 360000 Fixed Cost 50000 55000 45000 Depreciation 40000 40000 40000 EBIT 30000 25000 35000 Taxes 10200 8500 11900 Net Income 19800 16500 23100 + Deprec 40000 40000 40000

TOTAL CF 59800 56500 63100

NPV 15566$ 3670$ 27461$

Fixed Cost Sensitivity

$27461

$15566

$3670

000

500000

1000000

1500000

2000000

2500000

3000000

$45000 $50000 $55000Fixed Cost

NPV

9-85

SHARK

DEPRC

MMCC

Scenario

Sensitivity_A

Sensitivity_A

Y
Unit Sales
NPV
Unit Sales Sensitivity

Sensitivity (2)

Y
Fixed Cost
NPV
Fixed Cost Sensitivity

GRAPH

Pro Forma

Pro Forma

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Chart4

Y
Fixed Cost
NPV
Fixed Cost Sensitivity
274613783679698
155656169002312
36698554324927

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Sensitivity

Y
Unit Sales
NPV
Unit Sales Sensitivity

Sensitivity (2)

Y
Fixed Cost
NPV
Fixed Cost Sensitivity

GRAPH

Pro Forma

Pro Forma

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Strengths Identifies dangerous variables Gives some breakeven information

Weaknesses Says nothing about the likelihood of

change in a variable Ignores relationships among

variables

9-86

Neither provides a decision rule No indication whether a projectrsquos

expected return is sufficient to compensate for its risk

Ignores diversification Measures only stand-alone risk which

may not be the most relevant risk in capital budgeting

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-87

Scenario analysis is best described as the determination of the

A Most likely outcome for a projectB Reasonable range of project outcomesC Variable that has the greatest effect on a projectrsquos

outcomeD Effect that a projectrsquos initial cost has on the projectrsquos net

present valueE Change in a projectrsquos net present value given a stated

change in projected sales

9-88

  • FINC311 Principles of Finance
  • Corporate Finance Overview
  • Building Blocks for Decisions
  • Introduction Example
  • Introduction
  • Chapter Objectives
  • Slide Number 7
  • Cash Flow Introduction
  • Relevant Cash Flows
  • Relevant Cash Flows
  • Relevant Cash Flows - Watchouts
  • Opportunity Cost
  • Opportunity Cost Example
  • Opportunity Cost Example
  • Opportunity Cost Example
  • Side Effects
  • Side Effects Erosion
  • Erosion Example
  • Question ndash Side Effects
  • Net Working Capital
  • Changes in Net Working Capital
  • Changes in Net Working Capital
  • Tax Effects
  • After-Tax Salvage Value
  • After-Tax Salvage
  • Computing Depreciation
  • Question
  • Question
  • Question
  • Tax Effect on Salvage
  • Example
  • Salvage Value amp Tax Effects
  • Sunk Cost
  • Sunk Cost Example
  • Financing Costs
  • Relevant Cash Flows - Watchouts
  • Question
  • Question
  • Question
  • Question
  • Slide Number 41
  • Evaluating a Proposed Investment
  • Pro Forma Financial Statements
  • Shark Attractant Project
  • Shark Attractant Project- Assumptions
  • Pro Forma Income Statement
  • Where is the Interest Expense
  • Pro Forma Balance Sheet
  • Shark Attractant Project- Assumptions
  • Projected Capital Requirements
  • Evaluating a Proposed Investment
  • Cash Flow - Definitions
  • Pro Forma Income Statement
  • Operating Cash Flow
  • Projected Total Cash Flows
  • Shark Attractant Project ndash Cash Flows
  • Evaluating a Proposed Investment
  • Estimate Project Value
  • Making the Decision
  • Shark Attractant Project
  • Question
  • Question
  • Pro Forma Income Statement
  • Operating Cash Flow
  • Depreciation Tax Shield
  • The Tax Shield Approach to OCF
  • Pro Forma Income Statement
  • The Tax Shield Approach to OCF
  • Question
  • Slide Number 70
  • Intro to Evaluating NPV
  • NPV Decision Rule
  • Risk with NPV Analysis
  • NPV ndash Forecasting Risk
  • Tools to Evaluate NPV Analysis
  • Understanding Sources of Value
  • Scenario and Sensitivity Analysis
  • Slide Number 78
  • Scenario Analysis
  • Scenario Analysis Example
  • Scenario Analysis Example
  • Problems with Scenario Analysis
  • Sensitivity Analysis
  • Sensitivity Analysis Unit Sales
  • Sensitivity Analysis Fixed Costs
  • Sensitivity Analysis
  • Disadvantages of Sensitivity and Scenario Analysis
  • Question
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
-30 -20 -10 0 10 20 30
UNITS -70083865667486 -415340381449136 -129842106223412 155656169002312 441154444228038 726652719453761 101215099467949
FC 512529013034468 393571398357083 274613783679698 155656169002312 36698554324927 -82259060352458 -201216675029843
Sensitivity Analysis
-30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30
Base Units Units Units Units Units Units Units Base Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 80 80 80 80 80 80 80 Priceunit $ 80 80 80 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 60 60 60 Variable costunit $ 60 60 60 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 50000 50000 50000 50000 50000 Fixed costyear $ 50000 35000 40000 45000 50000 55000 60000 65000
Initial investment $ 200000 Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000 Deprecyr $ 40000
Tax rate 34 Tax rate 34
Required Return 12 Required Return 12
BASE UNITS UNITS UNITS UNITS UNITS UNITS UNITS BASE FC FC FC FC FC FC FC
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 Fixed cost $ 50000 $ 35000 $ 40000 $ 45000 $ 50000 $ 55000 $ 60000 $ 65000
Sales $ 480000 $ 336000 $ 384000 $ 432000 $ 480000 $ 528000 $ 576000 $ 624000 Sales $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000
Variable Cost 360000 252000 288000 324000 360000 396000 432000 468000 Variable Cost 360000 360000 360000 360000 360000 360000 360000 360000
Fixed Cost 50000 50000 50000 50000 50000 50000 50000 50000 Fixed Cost 50000 35000 40000 45000 50000 55000 60000 65000
Depreciation 40000 40000 40000 40000 40000 40000 40000 40000 Depreciation 40000 40000 40000 40000 40000 40000 40000 40000
EBIT 30000 (6000) 6000 18000 30000 42000 54000 66000 EBIT 30000 45000 40000 35000 30000 25000 20000 15000
Taxes 10200 (2040) 2040 6120 10200 14280 18360 22440 Taxes 10200 15300 13600 11900 10200 8500 6800 5100
Net Income 19800 (3960) 3960 11880 19800 27720 35640 43560 Net Income 19800 29700 26400 23100 19800 16500 13200 9900
+ Deprec 40000 40000 40000 40000 40000 40000 40000 40000 + Deprec 40000 40000 40000 40000 40000 40000 40000 40000
TOTAL CF 59800 36040 43960 51880 59800 67720 75640 83560 TOTAL CF 59800 69700 66400 63100 59800 56500 53200 49900
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Change in NPV -5502 -3668 -1834 00 1834 3668 5502 Change in NPV 2293 1528 764 00 -764 -1528 -2293
Change in Variable -300 -200 -100 00 100 200 300 Change in Variable -300 -200 -100 00 100 200 300
SENSITIVITY RATIO 1834 1834 1834 000 1834 1834 1834 SENSITIVITY RATIO -764 -764 -764 000 -764 -764 -764
INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship Sensitivity Ratio = ( Change in NPV) Change in Variable
Negative = Inverse relationship Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 69700 66400 63100 59800 56500 53200 49900
PV $ 215566 $ 129916 $ 158466 $ 187016 $ 215566 $ 244115 $ 272665 $ 301215
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 PV $ 215566 $ 251253 $ 239357 $ 227461 $ 215566 $ 203670 $ 191774 $ 179878
NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Sensitivity Analysis
Base Units Units Fixed Cost Fixed Cost
Units 6000 5500 6500 6000 6000
Priceunit $ 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 UNITS
Fixed costyear $ 50000 50000 50000 55000 45000 X 5500 6000 6500
Y $ (8226) $ 15566 $ 39357
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS UNITS FC FC
Units 6000 5500 6500 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 440000 $ 520000 $ 480000 $ 480000
Variable Cost 360000 330000 390000 360000 360000
Fixed Cost 50000 50000 50000 55000 45000
Depreciation 40000 40000 40000 40000 40000
EBIT 30000 20000 40000 25000 35000
Taxes 10200 6800 13600 8500 11900
Net Income 19800 13200 26400 16500 23100
+ Deprec 40000 40000 40000 40000 40000
TOTAL CF 59800 53200 66400 56500 63100
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
FC
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) X $ 45000 $ 50000 $ 55000
59800 53200 66400 56500 63100 Y $ 27461 $ 15566 $ 3670
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
PV $ 215566 $ 191774 $ 239357 $ 203670 $ 227461
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
45000
50000
55000
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
-30 -20 -10 0 10 20 30
UNITS -70083865667486 -415340381449136 -129842106223412 155656169002312 441154444228038 726652719453761 101215099467949
FC 512529013034468 393571398357083 274613783679698 155656169002312 36698554324927 -82259060352458 -201216675029843
Sensitivity Analysis
-30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30
Base Units Units Units Units Units Units Units Base Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 80 80 80 80 80 80 80 Priceunit $ 80 80 80 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 60 60 60 Variable costunit $ 60 60 60 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 50000 50000 50000 50000 50000 Fixed costyear $ 50000 35000 40000 45000 50000 55000 60000 65000
Initial investment $ 200000 Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000 Deprecyr $ 40000
Tax rate 34 Tax rate 34
Required Return 12 Required Return 12
BASE UNITS UNITS UNITS UNITS UNITS UNITS UNITS BASE FC FC FC FC FC FC FC
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 Fixed cost $ 50000 $ 35000 $ 40000 $ 45000 $ 50000 $ 55000 $ 60000 $ 65000
Sales $ 480000 $ 336000 $ 384000 $ 432000 $ 480000 $ 528000 $ 576000 $ 624000 Sales $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000
Variable Cost 360000 252000 288000 324000 360000 396000 432000 468000 Variable Cost 360000 360000 360000 360000 360000 360000 360000 360000
Fixed Cost 50000 50000 50000 50000 50000 50000 50000 50000 Fixed Cost 50000 35000 40000 45000 50000 55000 60000 65000
Depreciation 40000 40000 40000 40000 40000 40000 40000 40000 Depreciation 40000 40000 40000 40000 40000 40000 40000 40000
EBIT 30000 (6000) 6000 18000 30000 42000 54000 66000 EBIT 30000 45000 40000 35000 30000 25000 20000 15000
Taxes 10200 (2040) 2040 6120 10200 14280 18360 22440 Taxes 10200 15300 13600 11900 10200 8500 6800 5100
Net Income 19800 (3960) 3960 11880 19800 27720 35640 43560 Net Income 19800 29700 26400 23100 19800 16500 13200 9900
+ Deprec 40000 40000 40000 40000 40000 40000 40000 40000 + Deprec 40000 40000 40000 40000 40000 40000 40000 40000
TOTAL CF 59800 36040 43960 51880 59800 67720 75640 83560 TOTAL CF 59800 69700 66400 63100 59800 56500 53200 49900
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Change in NPV -5502 -3668 -1834 00 1834 3668 5502 Change in NPV 2293 1528 764 00 -764 -1528 -2293
Change in Variable -300 -200 -100 00 100 200 300 Change in Variable -300 -200 -100 00 100 200 300
SENSITIVITY RATIO 1834 1834 1834 000 1834 1834 1834 SENSITIVITY RATIO -764 -764 -764 000 -764 -764 -764
INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship Sensitivity Ratio = ( Change in NPV) Change in Variable
Negative = Inverse relationship Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 69700 66400 63100 59800 56500 53200 49900
PV $ 215566 $ 129916 $ 158466 $ 187016 $ 215566 $ 244115 $ 272665 $ 301215
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 PV $ 215566 $ 251253 $ 239357 $ 227461 $ 215566 $ 203670 $ 191774 $ 179878
NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Sensitivity Analysis
Base Units Units Fixed Cost Fixed Cost
Units 6000 5500 6500 6000 6000
Priceunit $ 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 UNITS
Fixed costyear $ 50000 50000 50000 55000 45000 X 5500 6000 6500
Y $ (8226) $ 15566 $ 39357
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS UNITS FC FC
Units 6000 5500 6500 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 440000 $ 520000 $ 480000 $ 480000
Variable Cost 360000 330000 390000 360000 360000
Fixed Cost 50000 50000 50000 55000 45000
Depreciation 40000 40000 40000 40000 40000
EBIT 30000 20000 40000 25000 35000
Taxes 10200 6800 13600 8500 11900
Net Income 19800 13200 26400 16500 23100
+ Deprec 40000 40000 40000 40000 40000
TOTAL CF 59800 53200 66400 56500 63100
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
FC
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) X $ 45000 $ 50000 $ 55000
59800 53200 66400 56500 63100 Y $ 27461 $ 15566 $ 3670
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
PV $ 215566 $ 191774 $ 239357 $ 203670 $ 227461
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
-30 -20 -10 0 10 20 30
UNITS -70083865667486 -415340381449136 -129842106223412 155656169002312 441154444228038 726652719453761 101215099467949
FC 512529013034468 393571398357083 274613783679698 155656169002312 36698554324927 -82259060352458 -201216675029843
Sensitivity Analysis
-30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30
Base Units Units Units Units Units Units Units Base Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 80 80 80 80 80 80 80 Priceunit $ 80 80 80 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 60 60 60 Variable costunit $ 60 60 60 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 50000 50000 50000 50000 50000 Fixed costyear $ 50000 35000 40000 45000 50000 55000 60000 65000
Initial investment $ 200000 Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000 Deprecyr $ 40000
Tax rate 34 Tax rate 34
Required Return 12 Required Return 12
BASE UNITS UNITS UNITS UNITS UNITS UNITS UNITS BASE FC FC FC FC FC FC FC
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 Fixed cost $ 50000 $ 35000 $ 40000 $ 45000 $ 50000 $ 55000 $ 60000 $ 65000
Sales $ 480000 $ 336000 $ 384000 $ 432000 $ 480000 $ 528000 $ 576000 $ 624000 Sales $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000
Variable Cost 360000 252000 288000 324000 360000 396000 432000 468000 Variable Cost 360000 360000 360000 360000 360000 360000 360000 360000
Fixed Cost 50000 50000 50000 50000 50000 50000 50000 50000 Fixed Cost 50000 35000 40000 45000 50000 55000 60000 65000
Depreciation 40000 40000 40000 40000 40000 40000 40000 40000 Depreciation 40000 40000 40000 40000 40000 40000 40000 40000
EBIT 30000 (6000) 6000 18000 30000 42000 54000 66000 EBIT 30000 45000 40000 35000 30000 25000 20000 15000
Taxes 10200 (2040) 2040 6120 10200 14280 18360 22440 Taxes 10200 15300 13600 11900 10200 8500 6800 5100
Net Income 19800 (3960) 3960 11880 19800 27720 35640 43560 Net Income 19800 29700 26400 23100 19800 16500 13200 9900
+ Deprec 40000 40000 40000 40000 40000 40000 40000 40000 + Deprec 40000 40000 40000 40000 40000 40000 40000 40000
TOTAL CF 59800 36040 43960 51880 59800 67720 75640 83560 TOTAL CF 59800 69700 66400 63100 59800 56500 53200 49900
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Change in NPV -5502 -3668 -1834 00 1834 3668 5502 Change in NPV 2293 1528 764 00 -764 -1528 -2293
Change in Variable -300 -200 -100 00 100 200 300 Change in Variable -300 -200 -100 00 100 200 300
SENSITIVITY RATIO 1834 1834 1834 000 1834 1834 1834 SENSITIVITY RATIO -764 -764 -764 000 -764 -764 -764
INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship Sensitivity Ratio = ( Change in NPV) Change in Variable
Negative = Inverse relationship Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 69700 66400 63100 59800 56500 53200 49900
PV $ 215566 $ 129916 $ 158466 $ 187016 $ 215566 $ 244115 $ 272665 $ 301215
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 PV $ 215566 $ 251253 $ 239357 $ 227461 $ 215566 $ 203670 $ 191774 $ 179878
NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Sensitivity Analysis
Base Units Units Fixed Cost Fixed Cost
Units 6000 5500 6500 6000 6000
Priceunit $ 80 80 80 80 80
Variable costunit $ 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 55000 45000 X 5500 6000 6500
Y $ (8226) $ 15566 $ 39357
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS UNITS FC FC
Units 6000 5500 6500 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 440000 $ 520000 $ 480000 $ 480000
Variable Cost 360000 330000 390000 360000 360000
Fixed Cost 50000 50000 50000 55000 45000
Depreciation 40000 40000 40000 40000 40000
EBIT 30000 20000 40000 25000 35000
Taxes 10200 6800 13600 8500 11900
Net Income 19800 13200 26400 16500 23100
+ Deprec 40000 40000 40000 40000 40000
TOTAL CF 59800 53200 66400 56500 63100
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
PV $ 215566 $ 191774 $ 239357 $ 203670 $ 227461
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
5500
6000
6500
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
-30 -20 -10 0 10 20 30
UNITS -70083865667486 -415340381449136 -129842106223412 155656169002312 441154444228038 726652719453761 101215099467949
FC 512529013034468 393571398357083 274613783679698 155656169002312 36698554324927 -82259060352458 -201216675029843
Sensitivity Analysis
-30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30
Base Units Units Units Units Units Units Units Base Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 80 80 80 80 80 80 80 Priceunit $ 80 80 80 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 60 60 60 Variable costunit $ 60 60 60 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 50000 50000 50000 50000 50000 Fixed costyear $ 50000 35000 40000 45000 50000 55000 60000 65000
Initial investment $ 200000 Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000 Deprecyr $ 40000
Tax rate 34 Tax rate 34
Required Return 12 Required Return 12
BASE UNITS UNITS UNITS UNITS UNITS UNITS UNITS BASE FC FC FC FC FC FC FC
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 Fixed cost $ 50000 $ 35000 $ 40000 $ 45000 $ 50000 $ 55000 $ 60000 $ 65000
Sales $ 480000 $ 336000 $ 384000 $ 432000 $ 480000 $ 528000 $ 576000 $ 624000 Sales $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000
Variable Cost 360000 252000 288000 324000 360000 396000 432000 468000 Variable Cost 360000 360000 360000 360000 360000 360000 360000 360000
Fixed Cost 50000 50000 50000 50000 50000 50000 50000 50000 Fixed Cost 50000 35000 40000 45000 50000 55000 60000 65000
Depreciation 40000 40000 40000 40000 40000 40000 40000 40000 Depreciation 40000 40000 40000 40000 40000 40000 40000 40000
EBIT 30000 (6000) 6000 18000 30000 42000 54000 66000 EBIT 30000 45000 40000 35000 30000 25000 20000 15000
Taxes 10200 (2040) 2040 6120 10200 14280 18360 22440 Taxes 10200 15300 13600 11900 10200 8500 6800 5100
Net Income 19800 (3960) 3960 11880 19800 27720 35640 43560 Net Income 19800 29700 26400 23100 19800 16500 13200 9900
+ Deprec 40000 40000 40000 40000 40000 40000 40000 40000 + Deprec 40000 40000 40000 40000 40000 40000 40000 40000
TOTAL CF 59800 36040 43960 51880 59800 67720 75640 83560 TOTAL CF 59800 69700 66400 63100 59800 56500 53200 49900
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Change in NPV -5502 -3668 -1834 00 1834 3668 5502 Change in NPV 2293 1528 764 00 -764 -1528 -2293
Change in Variable -300 -200 -100 00 100 200 300 Change in Variable -300 -200 -100 00 100 200 300
SENSITIVITY RATIO 1834 1834 1834 000 1834 1834 1834 SENSITIVITY RATIO -764 -764 -764 000 -764 -764 -764
INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship Sensitivity Ratio = ( Change in NPV) Change in Variable
Negative = Inverse relationship Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 69700 66400 63100 59800 56500 53200 49900
PV $ 215566 $ 129916 $ 158466 $ 187016 $ 215566 $ 244115 $ 272665 $ 301215
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 PV $ 215566 $ 251253 $ 239357 $ 227461 $ 215566 $ 203670 $ 191774 $ 179878
NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Sensitivity Analysis
Base Units Units Fixed Cost Fixed Cost
Units 6000 5500 6500 6000 6000
Priceunit $ 80 80 80 80 80
Variable costunit $ 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 55000 45000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS UNITS FC FC
Units 6000 5500 6500 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 440000 $ 520000 $ 480000 $ 480000
Variable Cost 360000 330000 390000 360000 360000
Fixed Cost 50000 50000 50000 55000 45000
Depreciation 40000 40000 40000 40000 40000
EBIT 30000 20000 40000 25000 35000
Taxes 10200 6800 13600 8500 11900
Net Income 19800 13200 26400 16500 23100
+ Deprec 40000 40000 40000 40000 40000
TOTAL CF 59800 53200 66400 56500 63100
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
PV $ 215566 $ 191774 $ 239357 $ 203670 $ 227461
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 893 893 893 445
Recovery Allowance 114320 195920 139920 99920 71440 71440 71440 35600
Book Value 685680 489760 349840 249920 178480 107040 35600 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71440 71440 71440 35600
EBT 40680 79080 195080 200080 203560 153560 103560 89400
Taxes 13831 26887 66327 68027 69210 52210 35210 30396
Net Operating Income 26849 52193 128753 132053 134350 101350 68350 59004
Add back Depreciation 114320 195920 139920 99920 71440 71440 71440 35600
CASH FLOW from Operations 141169 248113 268673 231973 205790 172790 139790 94604
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214040 189290 156290 266204
Discounted Cash Flows (820000) 93190 160388 164821 133060 106416 81835 58755 87023
NPV $ 65488
IRR 1724
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 893 893 893 445
Recovery Allowance 114320 195920 139920 99920 71440 71440 71440 35600
Book Value 685680 489760 349840 249920 178480 107040 35600 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71440 71440 71440 35600
EBT 40680 79080 195080 200080 203560 153560 103560 89400
Taxes 13831 26887 66327 68027 69210 52210 35210 30396
Net Operating Income 26849 52193 128753 132053 134350 101350 68350 59004
Add back Depreciation 114320 195920 139920 99920 71440 71440 71440 35600
CASH FLOW from Operations 141169 248113 268673 231973 205790 172790 139790 94604
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214040 189290 156290 266204
Discounted Cash Flows (820000) 93190 160388 164821 133060 106416 81835 58755 87023
NPV $ 65488
IRR 1724
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 893 893 893 445
Recovery Allowance 114320 195920 139920 99920 71440 71440 71440 35600
Book Value 685680 489760 349840 249920 178480 107040 35600 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71440 71440 71440 35600
EBT 40680 79080 195080 200080 203560 153560 103560 89400
Taxes 13831 26887 66327 68027 69210 52210 35210 30396
Net Operating Income 26849 52193 128753 132053 134350 101350 68350 59004
Add back Depreciation 114320 195920 139920 99920 71440 71440 71440 35600
CASH FLOW from Operations 141169 248113 268673 231973 205790 172790 139790 94604
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214040 189290 156290 266204
Discounted Cash Flows (820000) 93190 160388 164821 133060 106416 81835 58755 87023
NPV $ 65488
IRR 1724
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000

Blue Hen Brewery has developed a new style of beer that they think will be a big seller in the marketplace Higher alcohol content 16 ounce cans vs 12 ounce bottles

We need to determine whether or not this investment will increase shareholder value

9-4

Cash flow estimates are the starting point in analyzing an investment The cash flows were simply given to us in Chapter 8

We now need to understand where these cash flows come from And determine which cash flows should be considered in

the investment decision

9-5

Understand how to determine the relevant cash flows for a proposed investment

Understand how to analyze a projectrsquos projected cash flows

Learn how to evaluate an estimated NPV Scenario analysis Sensitivity analysis

9-6

Relevant Cash Flows

9-7

Once a company decides to take on a new investment project their cash flows are going to be different If the Blue Hen Brewery takes on this new product

line their cash flows will be altered

The challenge for the Finance manager is to determine if the change in cash flows that result from the investment will increase the shareholder value

9-8

9-9

Incremental Cash Flows for a Project

Relevant Cash Flows

Include only cash flows that will only occur if the project is accepted Incremental cash flows

The stand-alone principle allows us to analyze each project in isolation from the firm simply by focusing on incremental cash flows

In general it is easy to determine cash flows that are directly linked to the investment project under consideration Incremental revenue from the new product (eg

sales of the new beer) Incremental costs from the new product (eg

brewing ingredients packaging marketing)

There are however some situations where it can be difficult to determine if cash flows are or are not relevant

9-10

Relevant

bullOpportunity costsbullSide effectserosionbullNet working capitalbullTax effectsbullAfter tax salvage value

Not Relevant

bull ldquoSunkrdquo costsbullFinancing costs

9-11

The most valuable alternative that is given up if a particular investment is undertaken

If the project being considered is using an asset that has alternative uses and value then it is a relevant cash flow

9-12

Opportunity Cost

For the new Blue Hen Brewery beer being considered the plan is to use an older brewery building that was purchased years ago for $100000 and after depreciation is currently on their books for $40000

Should this be considered in the cash flow analysis for evaluating the new higher-alcohol product for Blue Hen Brewery If so what is the relevant cash flow amount

9-13

Which of the following is correct with respect to how to treat the old building that will be used for the new Blue Hen Brewery productA Since it is currently not being used it should be viewed as

ldquofreerdquo and have no impact on the cash flow for analyzing the new investment opportunity (ie this is a sunk cost)

B The cash flow impact to the project should be $100000 since this is what the building cost years ago

C The cash flow impact to the project should be $40000 since this is what the book value of the building currently is

D None of the above

9-14

The opportunity cost is what the building and land could be sold for (ie the current market value of the building) This is the most valuable alternative that is given up if a

particular investment is undertaken So if the building could be sold for say $75000 then it

is this amount of $75000 that is a relevant cash flow in the investment decision

9-15

9-16

When a company launches a new product there could be ldquospilloverrdquo impacts on the sales of existing products Known as ldquoside effectsrdquo Can be positive ndash the new product increases the

sales of existing products Can be negative ndash the new product decreases

the sales of existing products (called ldquoerosionrdquo)

The cash flow of a new project that comes at the expense of a firmrsquos existing projects

Also known as ldquoproduct cannibalizationrdquo

9-17

Erosion

There are many very loyal customers of Blue Hen Brewery that drink only Blue Hen beer products

Some of these customers will buy the new higher-alcohol products instead of buying existing Blue Hen Brewery products This new product will ldquoeroderdquo or ldquocannibalizerdquo existing

product lines

This is a relevant cash flow impact that should be considered in the investment analysis for the new product

9-18

Thrill Rides is considering adding a new roller coaster to its amusement park The addition is expected to increase its overall ticket sales In particular the company expects to sell more tickets for its current roller coaster and experience extremely high demand for its new coaster Sales for its boat ride are expected to decline but food and beverage sales are expected to increase significantly All of the following are side effects associated with the new roller coaster with the exception of the

A Increased food sales

B Additional sales for the existing coaster

C Increased food costs from the higher food sales

D Reduced sales for the boat ride

E Ticket sales for the new coaster

9-19

9-20

Net working capital is Current Assets minus Current Liabilities

Current Assets Current Liabilitiesbull Cashbull Accounts Receivablebull Inventory

bull Accounts Payable

Most investment projects will impact a firmrsquos working capital Accounts receivable and inventory would increase to

support higher sales levels Accounts payable would likely increase as inventory

increases

These cash flows donrsquot appear on the income statement due to the GAAP matching principle Sales recorded when made not when cash is received Cost of goods sold recorded when sales are made

whether suppliers paid yet or not

9-21

In general most projects will require an investment in working capital at the beginning of the project This would need to be captured in the cash flow analysis

(as a cash outflow) at the time of launch or in the first year

At the end of the project the increase in working capital would no longer be needed as inventories are sold receivables collected etc This would need to be captured in the last year of the

project as a cash inflow from the release of working capital

9-22

We need to consider the tax impacts of all cash flows

Incremental cash flows are meant to be after-taxincremental cash flows

Which tax rate is most relevant for after-tax cash flowsA Marginal tax rateB Average tax rate

9-23

Many projects will require an investment in long-term assets at the beginning of the project This would need to be captured in the cash flow

analysis (as a cash outflow) at the time of launch

At the end of the project if there is value in this fixed asset the after-tax salvage value needs to be determined

9-24

If the salvage value is different from the book value of the asset then there is a tax effect which impacts cash flows

9-25

After-Tax Salvage

Salvage Amount= Tax rate [Salvage

Amount ndash Book Value]-

Book Value Initial Cost= - Accumulated

Depreciation

Straight-line depreciationD = (Initial cost ndash salvage) number of yearsStraight Line rarr Salvage Value

MACRS (Accelerated Depreciation)Depreciate rarr 0Recovery Period = Class Life12 Year ConventionMultiply percentage in table by the initial cost

9-26Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

You purchase a new piece of equipment for $100000 to be used in a project that will last 4 years If it is depreciated on a straight-line basis over 5 years what is the book value after 4 years

A $80000B $75000C $25000D $20000E $0

9-27

If you then sell this fixed asset at the end of the project (after 4 years) for $20000 what is your after-tax salvage value (Assume a 30 tax rate)

A $26000B $20000C $14000D $80000E $0

9-28

If you then sell this fixed asset at the end of the project (after 4 years) for $30000 what is your after-tax salvage value (Assume a 30 tax rate)

A $39000B $30000C $27000D $21000E $0

9-29

Net Salvage Cash Flow = SP - (SP-BV)(T)

WhereSP = Selling PriceBV = Book ValueT = Corporate tax rate

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-30

This represents the tax paid on the gain or the tax benefit of the loss

Depreciation and After-Tax Salvage Car purchased for $12000 5-year property Marginal tax rate = 34

9-31

Depreciation 5-year Asset

Year Beg BV Depr Deprec End BV1 1200000$ 2000 240000$ 960000$ 2 960000$ 3200 384000$ 576000$ 3 576000$ 1920 230400$ 345600$ 4 345600$ 1152 138240$ 207360$ 5 207360$ 1152 138240$ 69120$ 6 69120$ 576 69120$ -$

10000 1200000$

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Sheet1

Sheet2

Sheet3

Depreciation 5-year Asset

Year Beg BV Depr Deprec End BV1 1200000$ 2000 240000$ 960000$ 2 960000$ 3200 384000$ 576000$ 3 576000$ 1920 230400$ 345600$ 4 345600$ 1152 138240$ 207360$ 5 207360$ 1152 138240$ 69120$ 6 69120$ 576 69120$ -$

10000 1200000$

Net Salvage Cash Flow = SP - (SP-BV)(T)If sold at EOY 5 for $3000

NSCF = 3000 - (3000 - 69120)(34) = $221501= $3000 ndash 78499 = $221501

If sold at EOY 2 for $4000NSCF = 4000 - (4000 - 5760)(34) = $459840

= $4000 ndash (-59840) = $459840

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-32

What is the after-tax net salvage cash flow at end of year 5 and 2

Sheet1

Sheet2

Sheet3

A cost that has already been incurred and cannot be recouped

Therefore it should not be considered in an investment decision

9-33

Sunk Cost

The Blue Hen Brewery spent $100000 on market research and consulting fees to analyze their higher-alcohol beer product

Is this a sunk costA YesB NoC More information is needed

9-34

In Chapter 2 we learned that financing costs (eg interest expense) is a cash flow to creditors Interest expense is not an operating expense

We care only about cash flow from assets when we make investment decisions

Financing decisions are important but this is a separate question from deciding if an investment increases shareholder value or not Thus Financing costs are not a relevant cash flow in

analyzing an investment project

9-35

Relevant

bullOpportunity costsbullSide effectserosionbullNet working capitalbullTax effectsbullAfter-tax salvage value

Not Relevant

bull ldquoSunkrdquo costsbullFinancing costs

9-36

Which one of the following principles refers to the assumption that a project will be evaluated based on its incremental cash flows

A Forecast assumption principleB Base assumption principleC Fallacy principleD Erosion principle E Stand-alone principle

9-37

A cost that should be ignored when evaluating a project because that cost has already been incurred and cannot be recouped is referred to as a(n)

A Fixed costB Forgotten costC Variable costD Opportunity costE Sunk cost

9-38

Lake City Plastics currently produces plastic plates and silverware The company is considering expanding its product offerings to include plastic serving trays All of the following are relevant costs to this project with the exception of

A The cost of additional utilities required to operate the serving tray production operation

B Any change in the expected sales of plates and silverware gained from offering trays also

C A percentage of the current operating overhead

D The additional plastic raw materials that would be required

E The cost to acquire the forms needed to mold the trays

9-39

Which one of the following terms is most commonly used to describe the cash flows of a new project that are simply an offset of reduced cash flows for a current project

A Opportunity costB Sunk costC ErosionD Replicated flowsE Pirated flows

9-40

Pro Forma Financial

Statements and Cash Flows

9-41

The process to evaluate a proposed investment is as follows

9-42

Pro Forma Financial

Statements

Projected Cash Flows

Estimate Project Value

bull Assumptions are gathered and these serve as the basis for the pro forma financial statements

bull Incremental cash flows need to be determined Cash flow from

assets

bull Project value is determined NPV IRR PI Payback

Financial statements projecting future yearsrsquo operations Pro forma income

statement Pro forma balance sheet

Summarizes all relevant information for a project

9-43

Pro Forma Financial

Statements

Underwater Adventures Inc specializes in selling unique underwater experiences for scuba divers and snorkelers They have developed a ldquoshark attractantrdquo product to meet

this demand of customers who want to get close to sharks for better photos to post on social media

We have been asked to evaluate whether launching this product is a good idea

9-44

Estimated sales 50000 cans Sales Price per can $400 Cost per can $250 Estimated life 3 years Fixed costs $12000year Initial equipment cost $90000

100 depreciated over 3 year life Investment in NWC $20000 Tax rate 34 Cost of capital 20

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-45

9-46Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Sales (50000 units at $400unit) $200000Variable Costs ($250unit) ($125000)Gross Profit $75000Fixed Costs ($12000)Depreciation ($90000 3) ($30000)EBIT $33000Taxes (34) ($11200)

Net Income $21780

The pro forma income statement currently does not have any interest expense

Should interest expense be includedA YesB No

9-47

No interest expense is a financing expense and not a component of operating cash flow

We need to understand the cash flow impacts that result from changes in the balance sheet Investments in working capital (eg higher

inventory and accounts receivable) Investments in fixed assets (ie capital

requirements of the project) We donrsquot care about the financing aspects

of the balance sheet For the same reason we didnrsquot consider interest

expense in the pro forma income statement9-48

Estimated sales 50000 cans Sales Price per can $400 Cost per can $250 Estimated life 3 years Fixed costs $12000year Initial equipment cost $90000

100 depreciated over 3 year life Investment in NWC $20000 Tax rate 34 Cost of capital 20

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-49

9-50Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Year0 1 2 3

Net Working Capital

$20000 $20000 $20000 $20000

Net Fixed Assets

90000 60000 30000 0

Total Investment

$110000 $80000 $50000 $20000

Net Fixed Assets declines by the amount of depreciation each year

The process to evaluate a proposed investment is as follows

9-51

Pro Forma Financial

Statements

Projected Cash Flows

Estimate Project Value

9-52

Net Income Depreciation= +

Earnings Before Interest amp Taxes Depreciation Taxes= + -

Operating Cash Flow

Operating Cash Flow= minus

Net Capital

Spending

Changes in Net

Working Capital

Cash Flow from

Assetsminus

+ Interest

Will be 0 since interest is not a

relevant cash flow

9-53

Sales (50000 units at $400unit)

$200000

Variable Costs ($250unit) (125000)

Gross profit $ 75000

Fixed costs (12000)

Depreciation ($90000 3) (30000)

EBIT $ 33000

Taxes (34) (11220)

Net Income $ 21780=======

What is the operating cash flow

A $21750B $33000C $63000D $51780E $63780

9-54

Net Income Depreciation= + If no interest expense

Earnings Before Interest amp Taxes Depreciation Taxes= + -

Operating Cash Flow

$21780 $30000= +If no interest

expense

$33000 $30000 $11220= + -Operating Cash Flow

= $51780

9-55

Year

0 1 2 3

OCF $51780 $51780 $51780

NWC -$20000 20000

Capital Spending

-$90000

CFFA -$110000 $51780 $51780 $71780

Note Investment in NWC is recovered in final yearEquipment cost is a cash outflow in year 0

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

9-56Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Year 0 1 2 3Sales 200000 200000 200000Variable Costs 125000 125000 125000Gross Profit 75000 75000 75000Fixed Costs 12000 12000 12000Depreciation 30000 30000 30000EBIT 33000 33000 33000Taxes 11220 11220 11220Net Income 21780 21780 21780

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Pro Forma Income Statement

Cash Flows

The process to evaluate a proposed investment is as follows

9-57

Pro Forma Financial

Statements

Projected Cash Flows

Estimate Project Value

9-58

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Net Present Value $1064769IRR 2576

Cash Flows

We can estimate the project value by calculation the NPV and IRR

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

9-59

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Net Present Value $1064769IRR 2576

Cash Flows

Should we accept or reject the project

Acceptbull The NPV is gt 0bull The IRR is greater than the

required rate of return of 20

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

9-60

Year 0 1 2 3Sales 200000 200000 200000Variable Costs 125000 125000 125000Gross Profit 75000 75000 75000Fixed Costs 12000 12000 12000Depreciation 30000 30000 30000EBIT 33000 33000 33000Taxes 11220 11220 11220Net Income 21780 21780 21780

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Net Present Value $1064769IRR 2576

Pro Forma Income Statement

Cash Flows

OCF = EBIT + Depreciation ndash TaxesOCF = Net Income + Depreciation (if no interest)

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

A new project is expected to generate an operating cash flow of $38728 and will initially free up $11610 in net working capital Purchases of fixed assets costing $52800 will be required to start up the project What is the total cash flow for this project at time zero

A -$64410

B -$41190

C -$52800

D $25682

E $50338

9-61

The pro forma income statement for a proposed investment should include all of the following except

A Fixed costsB Forecasted salesC Depreciation expenseD TaxesE Changes in net working capital

9-62

9-63

Sales (50000 units at $400unit)

$200000

Variable Costs ($250unit) (125000)

Gross profit $ 75000

Fixed costs (12000)

Depreciation ($90000 3) (30000)

EBIT $ 33000

Taxes (34) (11220)

Net Income $ 21780=======

What is the operating cash flow (using the approaches already learned)

A $21750B $33000C $63000D $51780E $63780

9-64

Net Income Depreciation= + If no interest expense

Earnings Before Interest amp Taxes Depreciation Taxes= + -

Operating Cash Flow

$21780 $30000= +If no interest

expense

$33000 $30000 $11220= + -Operating Cash Flow

= $51780

Option 1

Option 2

The tax savings that results from the depreciation deduction

Calculated as depreciation multiplied by the corporate tax rate

9-65

Depreciation Tax Shield

9-66

(Sales ndash Costs) (1 ndash Tax Rate) = +Operating

Cash FlowDepreciation Tax Rate

Option 3

9-67

Sales (50000 units at $400unit)

$200000

Variable Costs ($250unit) (125000)

Gross profit $ 75000

Fixed costs (12000)

Depreciation ($90000 3) (30000)

EBIT $ 33000

Taxes (34) (11220)

Net Income $ 21780=======

What is the operating cash flow using the tax shield approach

9-68

($200000 -$137000) 66

+ $30000 34

= $51780

=

(Sales ndash Costs) (1 ndash Tax Rate) = +Operating

Cash FlowDepreciation Tax Rate

Which one of the following is the formula for computing operating cash flow

A Net Income + Depreciation + InterestB Net Income + Depreciation - InterestC EBIT + Depreciation - TaxesD (Sales ndash Costs) (1-Tax Rate) + (Depreciation Tax Rate)E A C and D

9-69

Evaluating NPV

Estimates

9-70

Calculating NPV is just an estimate based on the best information available The calculations could be wrong The confidence level in the analysis is a

judgment call A positive NPV suggests the project may be

worth doing But more analysis normally would be required

It is important to understand what the NPV looks like when things donrsquot go as planned

9-71

9-72

If NPV gt 0 Accept the project

Maybe accept the

project

Why maybe

9-73

What drives the NPV result

Projected future cash

flow

How do you know your projected estimates are

accurate

9-74

Forecasting Risk

We need to develop some tools to understand where potential estimate errors may exist

The possibility that errors (or poor estimates) in projected cash flows will lead to incorrect decisions

Also called ldquoestimation riskrdquo

The following tools will help assess the reasonableness of the NPV analysis

9-75

What-If Analysis

Scenario analysis Sensitivity analysis

Understand sources of value

Articulate what drives the investment to deliver a positive NPV

A positive NPV is creating value for the shareholders

We should understand what is the source of this value

9-76

Project Idea Potential Questions to Answer

New Product bull Is this new product better than the competitionbull Does this new product meet an unmet consumer need

Marketing Campaign

bull Is it reasonable that this marketing effort can increase sales as estimated

CompanyAcquisition

bull Are there sufficient synergies that can be realized to justify the purchase price

Cost Improvements

bull How realistic is it that the expected cost savings will truly materialize in the time frame noted (without unexpected negative impacts)

9-77

Scenario Analysis

The determination of what happens to NPV estimates when we ask what-if questions

Sensitivity Analysis

Investigation of what happens to NPV estimates when only one variable is changed

Scenario and Sensitivity Analysis

9-78

Examines several possible situations Worst case Base case or most likely case Best case

Provides a range of possible outcomes

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-79

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Base Lower UpperUnits 6000 5500 6500 Priceunit 8000$ 7500$ 8500$ Variable costunit 6000$ 5800$ 6200$ Fixed costyear 50000$ 45000$ 55000$

BASE BEST WORST

Initial investment 200000$ Depreciated to salvage value of 0 over 5 yearsDeprecyr 40000$

Project Life 5 yearsTax rate 34Required return 12

Note ldquoLowerrdquo ne WorstldquoUpperrdquo ne Best

9-80

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

BASE WORST BESTUnits 6000 5500 6500 Priceunit 8000$ 7500$ 8500$ Variable costunit 6000$ 6200$ 5800$ Fixed Cost 50000$ 55000$ 45000$

Sales 480000$ 412500$ 552500$ Variable Cost 360000 341000 377000Fixed Cost 50000 55000 45000Depreciation 40000 40000 40000EBIT 30000 (23500) 90500Taxes 10200 (7990) 30770Net Income 19800 (15510) 59730 + Deprec 40000 40000 40000

TOTAL CF 59800 24490 99730

NPV 15566 (111719) 159504

IRR 151 -144 409

9-81

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

Considers only a few possible outcomes

Assumes perfectly correlated inputs All ldquobadrdquo values occur together and

all ldquogoodrdquo values occur together More likely to have some ldquobadrdquo values

and some ldquogoodrdquo values

9-82

Shows how changes in an input variable affect NPV or IRR

Each variable is fixed except one Change one variable to see the effect

on NPV or IRR Answers ldquowhat ifrdquo questions

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-83

Unit Sales Sensitivity

$(8226)

$15566

$39357

-2000000

-1000000

000

1000000

2000000

3000000

4000000

5000000

5500 6000 6500

Unit Sales

NPV

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-84

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Sensitivity (2)

GRAPH

GRAPH

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Pro Forma

Chart3

Y
Unit Sales
NPV
Unit Sales Sensitivity
-82259060352458
155656169002312
393571398357083

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Sensitivity

Y
Unit Sales
NPV
Unit Sales Sensitivity

Sensitivity (2)

GRAPH

GRAPH

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Pro Forma

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Base Fixed Cost Fixed CostUnits 6000 6000 6000 Priceunit 80$ 80 80Variable costunit 60$ 60 60Fixed costyear 50000$ 55000 45000

Initial investment 200000$ Depreciated to salvage value of 0 over 5 yearsDeprecyr 40000$

Tax rate 34Required Return 12

BASE FC FCUnits 6000 6000 6000 Priceunit 80$ 80$ 80$ Variable costunit 60$ 60$ 60$ Fixed cost 50000$ 55000$ 45000$

Sales 480000$ 480000$ 480000$ Variable Cost 360000 360000 360000 Fixed Cost 50000 55000 45000 Depreciation 40000 40000 40000 EBIT 30000 25000 35000 Taxes 10200 8500 11900 Net Income 19800 16500 23100 + Deprec 40000 40000 40000

TOTAL CF 59800 56500 63100

NPV 15566$ 3670$ 27461$

Fixed Cost Sensitivity

$27461

$15566

$3670

000

500000

1000000

1500000

2000000

2500000

3000000

$45000 $50000 $55000Fixed Cost

NPV

9-85

SHARK

DEPRC

MMCC

Scenario

Sensitivity_A

Sensitivity_A

Y
Unit Sales
NPV
Unit Sales Sensitivity

Sensitivity (2)

Y
Fixed Cost
NPV
Fixed Cost Sensitivity

GRAPH

Pro Forma

Pro Forma

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Chart4

Y
Fixed Cost
NPV
Fixed Cost Sensitivity
274613783679698
155656169002312
36698554324927

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Sensitivity

Y
Unit Sales
NPV
Unit Sales Sensitivity

Sensitivity (2)

Y
Fixed Cost
NPV
Fixed Cost Sensitivity

GRAPH

Pro Forma

Pro Forma

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Strengths Identifies dangerous variables Gives some breakeven information

Weaknesses Says nothing about the likelihood of

change in a variable Ignores relationships among

variables

9-86

Neither provides a decision rule No indication whether a projectrsquos

expected return is sufficient to compensate for its risk

Ignores diversification Measures only stand-alone risk which

may not be the most relevant risk in capital budgeting

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-87

Scenario analysis is best described as the determination of the

A Most likely outcome for a projectB Reasonable range of project outcomesC Variable that has the greatest effect on a projectrsquos

outcomeD Effect that a projectrsquos initial cost has on the projectrsquos net

present valueE Change in a projectrsquos net present value given a stated

change in projected sales

9-88

  • FINC311 Principles of Finance
  • Corporate Finance Overview
  • Building Blocks for Decisions
  • Introduction Example
  • Introduction
  • Chapter Objectives
  • Slide Number 7
  • Cash Flow Introduction
  • Relevant Cash Flows
  • Relevant Cash Flows
  • Relevant Cash Flows - Watchouts
  • Opportunity Cost
  • Opportunity Cost Example
  • Opportunity Cost Example
  • Opportunity Cost Example
  • Side Effects
  • Side Effects Erosion
  • Erosion Example
  • Question ndash Side Effects
  • Net Working Capital
  • Changes in Net Working Capital
  • Changes in Net Working Capital
  • Tax Effects
  • After-Tax Salvage Value
  • After-Tax Salvage
  • Computing Depreciation
  • Question
  • Question
  • Question
  • Tax Effect on Salvage
  • Example
  • Salvage Value amp Tax Effects
  • Sunk Cost
  • Sunk Cost Example
  • Financing Costs
  • Relevant Cash Flows - Watchouts
  • Question
  • Question
  • Question
  • Question
  • Slide Number 41
  • Evaluating a Proposed Investment
  • Pro Forma Financial Statements
  • Shark Attractant Project
  • Shark Attractant Project- Assumptions
  • Pro Forma Income Statement
  • Where is the Interest Expense
  • Pro Forma Balance Sheet
  • Shark Attractant Project- Assumptions
  • Projected Capital Requirements
  • Evaluating a Proposed Investment
  • Cash Flow - Definitions
  • Pro Forma Income Statement
  • Operating Cash Flow
  • Projected Total Cash Flows
  • Shark Attractant Project ndash Cash Flows
  • Evaluating a Proposed Investment
  • Estimate Project Value
  • Making the Decision
  • Shark Attractant Project
  • Question
  • Question
  • Pro Forma Income Statement
  • Operating Cash Flow
  • Depreciation Tax Shield
  • The Tax Shield Approach to OCF
  • Pro Forma Income Statement
  • The Tax Shield Approach to OCF
  • Question
  • Slide Number 70
  • Intro to Evaluating NPV
  • NPV Decision Rule
  • Risk with NPV Analysis
  • NPV ndash Forecasting Risk
  • Tools to Evaluate NPV Analysis
  • Understanding Sources of Value
  • Scenario and Sensitivity Analysis
  • Slide Number 78
  • Scenario Analysis
  • Scenario Analysis Example
  • Scenario Analysis Example
  • Problems with Scenario Analysis
  • Sensitivity Analysis
  • Sensitivity Analysis Unit Sales
  • Sensitivity Analysis Fixed Costs
  • Sensitivity Analysis
  • Disadvantages of Sensitivity and Scenario Analysis
  • Question
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
-30 -20 -10 0 10 20 30
UNITS -70083865667486 -415340381449136 -129842106223412 155656169002312 441154444228038 726652719453761 101215099467949
FC 512529013034468 393571398357083 274613783679698 155656169002312 36698554324927 -82259060352458 -201216675029843
Sensitivity Analysis
-30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30
Base Units Units Units Units Units Units Units Base Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 80 80 80 80 80 80 80 Priceunit $ 80 80 80 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 60 60 60 Variable costunit $ 60 60 60 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 50000 50000 50000 50000 50000 Fixed costyear $ 50000 35000 40000 45000 50000 55000 60000 65000
Initial investment $ 200000 Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000 Deprecyr $ 40000
Tax rate 34 Tax rate 34
Required Return 12 Required Return 12
BASE UNITS UNITS UNITS UNITS UNITS UNITS UNITS BASE FC FC FC FC FC FC FC
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 Fixed cost $ 50000 $ 35000 $ 40000 $ 45000 $ 50000 $ 55000 $ 60000 $ 65000
Sales $ 480000 $ 336000 $ 384000 $ 432000 $ 480000 $ 528000 $ 576000 $ 624000 Sales $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000
Variable Cost 360000 252000 288000 324000 360000 396000 432000 468000 Variable Cost 360000 360000 360000 360000 360000 360000 360000 360000
Fixed Cost 50000 50000 50000 50000 50000 50000 50000 50000 Fixed Cost 50000 35000 40000 45000 50000 55000 60000 65000
Depreciation 40000 40000 40000 40000 40000 40000 40000 40000 Depreciation 40000 40000 40000 40000 40000 40000 40000 40000
EBIT 30000 (6000) 6000 18000 30000 42000 54000 66000 EBIT 30000 45000 40000 35000 30000 25000 20000 15000
Taxes 10200 (2040) 2040 6120 10200 14280 18360 22440 Taxes 10200 15300 13600 11900 10200 8500 6800 5100
Net Income 19800 (3960) 3960 11880 19800 27720 35640 43560 Net Income 19800 29700 26400 23100 19800 16500 13200 9900
+ Deprec 40000 40000 40000 40000 40000 40000 40000 40000 + Deprec 40000 40000 40000 40000 40000 40000 40000 40000
TOTAL CF 59800 36040 43960 51880 59800 67720 75640 83560 TOTAL CF 59800 69700 66400 63100 59800 56500 53200 49900
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Change in NPV -5502 -3668 -1834 00 1834 3668 5502 Change in NPV 2293 1528 764 00 -764 -1528 -2293
Change in Variable -300 -200 -100 00 100 200 300 Change in Variable -300 -200 -100 00 100 200 300
SENSITIVITY RATIO 1834 1834 1834 000 1834 1834 1834 SENSITIVITY RATIO -764 -764 -764 000 -764 -764 -764
INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship Sensitivity Ratio = ( Change in NPV) Change in Variable
Negative = Inverse relationship Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 69700 66400 63100 59800 56500 53200 49900
PV $ 215566 $ 129916 $ 158466 $ 187016 $ 215566 $ 244115 $ 272665 $ 301215
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 PV $ 215566 $ 251253 $ 239357 $ 227461 $ 215566 $ 203670 $ 191774 $ 179878
NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Sensitivity Analysis
Base Units Units Fixed Cost Fixed Cost
Units 6000 5500 6500 6000 6000
Priceunit $ 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 UNITS
Fixed costyear $ 50000 50000 50000 55000 45000 X 5500 6000 6500
Y $ (8226) $ 15566 $ 39357
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS UNITS FC FC
Units 6000 5500 6500 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 440000 $ 520000 $ 480000 $ 480000
Variable Cost 360000 330000 390000 360000 360000
Fixed Cost 50000 50000 50000 55000 45000
Depreciation 40000 40000 40000 40000 40000
EBIT 30000 20000 40000 25000 35000
Taxes 10200 6800 13600 8500 11900
Net Income 19800 13200 26400 16500 23100
+ Deprec 40000 40000 40000 40000 40000
TOTAL CF 59800 53200 66400 56500 63100
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
FC
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) X $ 45000 $ 50000 $ 55000
59800 53200 66400 56500 63100 Y $ 27461 $ 15566 $ 3670
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
PV $ 215566 $ 191774 $ 239357 $ 203670 $ 227461
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
45000
50000
55000
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
-30 -20 -10 0 10 20 30
UNITS -70083865667486 -415340381449136 -129842106223412 155656169002312 441154444228038 726652719453761 101215099467949
FC 512529013034468 393571398357083 274613783679698 155656169002312 36698554324927 -82259060352458 -201216675029843
Sensitivity Analysis
-30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30
Base Units Units Units Units Units Units Units Base Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 80 80 80 80 80 80 80 Priceunit $ 80 80 80 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 60 60 60 Variable costunit $ 60 60 60 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 50000 50000 50000 50000 50000 Fixed costyear $ 50000 35000 40000 45000 50000 55000 60000 65000
Initial investment $ 200000 Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000 Deprecyr $ 40000
Tax rate 34 Tax rate 34
Required Return 12 Required Return 12
BASE UNITS UNITS UNITS UNITS UNITS UNITS UNITS BASE FC FC FC FC FC FC FC
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 Fixed cost $ 50000 $ 35000 $ 40000 $ 45000 $ 50000 $ 55000 $ 60000 $ 65000
Sales $ 480000 $ 336000 $ 384000 $ 432000 $ 480000 $ 528000 $ 576000 $ 624000 Sales $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000
Variable Cost 360000 252000 288000 324000 360000 396000 432000 468000 Variable Cost 360000 360000 360000 360000 360000 360000 360000 360000
Fixed Cost 50000 50000 50000 50000 50000 50000 50000 50000 Fixed Cost 50000 35000 40000 45000 50000 55000 60000 65000
Depreciation 40000 40000 40000 40000 40000 40000 40000 40000 Depreciation 40000 40000 40000 40000 40000 40000 40000 40000
EBIT 30000 (6000) 6000 18000 30000 42000 54000 66000 EBIT 30000 45000 40000 35000 30000 25000 20000 15000
Taxes 10200 (2040) 2040 6120 10200 14280 18360 22440 Taxes 10200 15300 13600 11900 10200 8500 6800 5100
Net Income 19800 (3960) 3960 11880 19800 27720 35640 43560 Net Income 19800 29700 26400 23100 19800 16500 13200 9900
+ Deprec 40000 40000 40000 40000 40000 40000 40000 40000 + Deprec 40000 40000 40000 40000 40000 40000 40000 40000
TOTAL CF 59800 36040 43960 51880 59800 67720 75640 83560 TOTAL CF 59800 69700 66400 63100 59800 56500 53200 49900
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Change in NPV -5502 -3668 -1834 00 1834 3668 5502 Change in NPV 2293 1528 764 00 -764 -1528 -2293
Change in Variable -300 -200 -100 00 100 200 300 Change in Variable -300 -200 -100 00 100 200 300
SENSITIVITY RATIO 1834 1834 1834 000 1834 1834 1834 SENSITIVITY RATIO -764 -764 -764 000 -764 -764 -764
INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship Sensitivity Ratio = ( Change in NPV) Change in Variable
Negative = Inverse relationship Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 69700 66400 63100 59800 56500 53200 49900
PV $ 215566 $ 129916 $ 158466 $ 187016 $ 215566 $ 244115 $ 272665 $ 301215
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 PV $ 215566 $ 251253 $ 239357 $ 227461 $ 215566 $ 203670 $ 191774 $ 179878
NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Sensitivity Analysis
Base Units Units Fixed Cost Fixed Cost
Units 6000 5500 6500 6000 6000
Priceunit $ 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 UNITS
Fixed costyear $ 50000 50000 50000 55000 45000 X 5500 6000 6500
Y $ (8226) $ 15566 $ 39357
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS UNITS FC FC
Units 6000 5500 6500 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 440000 $ 520000 $ 480000 $ 480000
Variable Cost 360000 330000 390000 360000 360000
Fixed Cost 50000 50000 50000 55000 45000
Depreciation 40000 40000 40000 40000 40000
EBIT 30000 20000 40000 25000 35000
Taxes 10200 6800 13600 8500 11900
Net Income 19800 13200 26400 16500 23100
+ Deprec 40000 40000 40000 40000 40000
TOTAL CF 59800 53200 66400 56500 63100
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
FC
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) X $ 45000 $ 50000 $ 55000
59800 53200 66400 56500 63100 Y $ 27461 $ 15566 $ 3670
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
PV $ 215566 $ 191774 $ 239357 $ 203670 $ 227461
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
-30 -20 -10 0 10 20 30
UNITS -70083865667486 -415340381449136 -129842106223412 155656169002312 441154444228038 726652719453761 101215099467949
FC 512529013034468 393571398357083 274613783679698 155656169002312 36698554324927 -82259060352458 -201216675029843
Sensitivity Analysis
-30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30
Base Units Units Units Units Units Units Units Base Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 80 80 80 80 80 80 80 Priceunit $ 80 80 80 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 60 60 60 Variable costunit $ 60 60 60 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 50000 50000 50000 50000 50000 Fixed costyear $ 50000 35000 40000 45000 50000 55000 60000 65000
Initial investment $ 200000 Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000 Deprecyr $ 40000
Tax rate 34 Tax rate 34
Required Return 12 Required Return 12
BASE UNITS UNITS UNITS UNITS UNITS UNITS UNITS BASE FC FC FC FC FC FC FC
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 Fixed cost $ 50000 $ 35000 $ 40000 $ 45000 $ 50000 $ 55000 $ 60000 $ 65000
Sales $ 480000 $ 336000 $ 384000 $ 432000 $ 480000 $ 528000 $ 576000 $ 624000 Sales $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000
Variable Cost 360000 252000 288000 324000 360000 396000 432000 468000 Variable Cost 360000 360000 360000 360000 360000 360000 360000 360000
Fixed Cost 50000 50000 50000 50000 50000 50000 50000 50000 Fixed Cost 50000 35000 40000 45000 50000 55000 60000 65000
Depreciation 40000 40000 40000 40000 40000 40000 40000 40000 Depreciation 40000 40000 40000 40000 40000 40000 40000 40000
EBIT 30000 (6000) 6000 18000 30000 42000 54000 66000 EBIT 30000 45000 40000 35000 30000 25000 20000 15000
Taxes 10200 (2040) 2040 6120 10200 14280 18360 22440 Taxes 10200 15300 13600 11900 10200 8500 6800 5100
Net Income 19800 (3960) 3960 11880 19800 27720 35640 43560 Net Income 19800 29700 26400 23100 19800 16500 13200 9900
+ Deprec 40000 40000 40000 40000 40000 40000 40000 40000 + Deprec 40000 40000 40000 40000 40000 40000 40000 40000
TOTAL CF 59800 36040 43960 51880 59800 67720 75640 83560 TOTAL CF 59800 69700 66400 63100 59800 56500 53200 49900
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Change in NPV -5502 -3668 -1834 00 1834 3668 5502 Change in NPV 2293 1528 764 00 -764 -1528 -2293
Change in Variable -300 -200 -100 00 100 200 300 Change in Variable -300 -200 -100 00 100 200 300
SENSITIVITY RATIO 1834 1834 1834 000 1834 1834 1834 SENSITIVITY RATIO -764 -764 -764 000 -764 -764 -764
INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship Sensitivity Ratio = ( Change in NPV) Change in Variable
Negative = Inverse relationship Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 69700 66400 63100 59800 56500 53200 49900
PV $ 215566 $ 129916 $ 158466 $ 187016 $ 215566 $ 244115 $ 272665 $ 301215
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 PV $ 215566 $ 251253 $ 239357 $ 227461 $ 215566 $ 203670 $ 191774 $ 179878
NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Sensitivity Analysis
Base Units Units Fixed Cost Fixed Cost
Units 6000 5500 6500 6000 6000
Priceunit $ 80 80 80 80 80
Variable costunit $ 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 55000 45000 X 5500 6000 6500
Y $ (8226) $ 15566 $ 39357
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS UNITS FC FC
Units 6000 5500 6500 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 440000 $ 520000 $ 480000 $ 480000
Variable Cost 360000 330000 390000 360000 360000
Fixed Cost 50000 50000 50000 55000 45000
Depreciation 40000 40000 40000 40000 40000
EBIT 30000 20000 40000 25000 35000
Taxes 10200 6800 13600 8500 11900
Net Income 19800 13200 26400 16500 23100
+ Deprec 40000 40000 40000 40000 40000
TOTAL CF 59800 53200 66400 56500 63100
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
PV $ 215566 $ 191774 $ 239357 $ 203670 $ 227461
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
5500
6000
6500
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
-30 -20 -10 0 10 20 30
UNITS -70083865667486 -415340381449136 -129842106223412 155656169002312 441154444228038 726652719453761 101215099467949
FC 512529013034468 393571398357083 274613783679698 155656169002312 36698554324927 -82259060352458 -201216675029843
Sensitivity Analysis
-30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30
Base Units Units Units Units Units Units Units Base Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 80 80 80 80 80 80 80 Priceunit $ 80 80 80 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 60 60 60 Variable costunit $ 60 60 60 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 50000 50000 50000 50000 50000 Fixed costyear $ 50000 35000 40000 45000 50000 55000 60000 65000
Initial investment $ 200000 Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000 Deprecyr $ 40000
Tax rate 34 Tax rate 34
Required Return 12 Required Return 12
BASE UNITS UNITS UNITS UNITS UNITS UNITS UNITS BASE FC FC FC FC FC FC FC
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 Fixed cost $ 50000 $ 35000 $ 40000 $ 45000 $ 50000 $ 55000 $ 60000 $ 65000
Sales $ 480000 $ 336000 $ 384000 $ 432000 $ 480000 $ 528000 $ 576000 $ 624000 Sales $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000
Variable Cost 360000 252000 288000 324000 360000 396000 432000 468000 Variable Cost 360000 360000 360000 360000 360000 360000 360000 360000
Fixed Cost 50000 50000 50000 50000 50000 50000 50000 50000 Fixed Cost 50000 35000 40000 45000 50000 55000 60000 65000
Depreciation 40000 40000 40000 40000 40000 40000 40000 40000 Depreciation 40000 40000 40000 40000 40000 40000 40000 40000
EBIT 30000 (6000) 6000 18000 30000 42000 54000 66000 EBIT 30000 45000 40000 35000 30000 25000 20000 15000
Taxes 10200 (2040) 2040 6120 10200 14280 18360 22440 Taxes 10200 15300 13600 11900 10200 8500 6800 5100
Net Income 19800 (3960) 3960 11880 19800 27720 35640 43560 Net Income 19800 29700 26400 23100 19800 16500 13200 9900
+ Deprec 40000 40000 40000 40000 40000 40000 40000 40000 + Deprec 40000 40000 40000 40000 40000 40000 40000 40000
TOTAL CF 59800 36040 43960 51880 59800 67720 75640 83560 TOTAL CF 59800 69700 66400 63100 59800 56500 53200 49900
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Change in NPV -5502 -3668 -1834 00 1834 3668 5502 Change in NPV 2293 1528 764 00 -764 -1528 -2293
Change in Variable -300 -200 -100 00 100 200 300 Change in Variable -300 -200 -100 00 100 200 300
SENSITIVITY RATIO 1834 1834 1834 000 1834 1834 1834 SENSITIVITY RATIO -764 -764 -764 000 -764 -764 -764
INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship Sensitivity Ratio = ( Change in NPV) Change in Variable
Negative = Inverse relationship Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 69700 66400 63100 59800 56500 53200 49900
PV $ 215566 $ 129916 $ 158466 $ 187016 $ 215566 $ 244115 $ 272665 $ 301215
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 PV $ 215566 $ 251253 $ 239357 $ 227461 $ 215566 $ 203670 $ 191774 $ 179878
NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Sensitivity Analysis
Base Units Units Fixed Cost Fixed Cost
Units 6000 5500 6500 6000 6000
Priceunit $ 80 80 80 80 80
Variable costunit $ 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 55000 45000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS UNITS FC FC
Units 6000 5500 6500 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 440000 $ 520000 $ 480000 $ 480000
Variable Cost 360000 330000 390000 360000 360000
Fixed Cost 50000 50000 50000 55000 45000
Depreciation 40000 40000 40000 40000 40000
EBIT 30000 20000 40000 25000 35000
Taxes 10200 6800 13600 8500 11900
Net Income 19800 13200 26400 16500 23100
+ Deprec 40000 40000 40000 40000 40000
TOTAL CF 59800 53200 66400 56500 63100
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
PV $ 215566 $ 191774 $ 239357 $ 203670 $ 227461
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 893 893 893 445
Recovery Allowance 114320 195920 139920 99920 71440 71440 71440 35600
Book Value 685680 489760 349840 249920 178480 107040 35600 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71440 71440 71440 35600
EBT 40680 79080 195080 200080 203560 153560 103560 89400
Taxes 13831 26887 66327 68027 69210 52210 35210 30396
Net Operating Income 26849 52193 128753 132053 134350 101350 68350 59004
Add back Depreciation 114320 195920 139920 99920 71440 71440 71440 35600
CASH FLOW from Operations 141169 248113 268673 231973 205790 172790 139790 94604
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214040 189290 156290 266204
Discounted Cash Flows (820000) 93190 160388 164821 133060 106416 81835 58755 87023
NPV $ 65488
IRR 1724
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 893 893 893 445
Recovery Allowance 114320 195920 139920 99920 71440 71440 71440 35600
Book Value 685680 489760 349840 249920 178480 107040 35600 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71440 71440 71440 35600
EBT 40680 79080 195080 200080 203560 153560 103560 89400
Taxes 13831 26887 66327 68027 69210 52210 35210 30396
Net Operating Income 26849 52193 128753 132053 134350 101350 68350 59004
Add back Depreciation 114320 195920 139920 99920 71440 71440 71440 35600
CASH FLOW from Operations 141169 248113 268673 231973 205790 172790 139790 94604
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214040 189290 156290 266204
Discounted Cash Flows (820000) 93190 160388 164821 133060 106416 81835 58755 87023
NPV $ 65488
IRR 1724
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 893 893 893 445
Recovery Allowance 114320 195920 139920 99920 71440 71440 71440 35600
Book Value 685680 489760 349840 249920 178480 107040 35600 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71440 71440 71440 35600
EBT 40680 79080 195080 200080 203560 153560 103560 89400
Taxes 13831 26887 66327 68027 69210 52210 35210 30396
Net Operating Income 26849 52193 128753 132053 134350 101350 68350 59004
Add back Depreciation 114320 195920 139920 99920 71440 71440 71440 35600
CASH FLOW from Operations 141169 248113 268673 231973 205790 172790 139790 94604
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214040 189290 156290 266204
Discounted Cash Flows (820000) 93190 160388 164821 133060 106416 81835 58755 87023
NPV $ 65488
IRR 1724
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000

Cash flow estimates are the starting point in analyzing an investment The cash flows were simply given to us in Chapter 8

We now need to understand where these cash flows come from And determine which cash flows should be considered in

the investment decision

9-5

Understand how to determine the relevant cash flows for a proposed investment

Understand how to analyze a projectrsquos projected cash flows

Learn how to evaluate an estimated NPV Scenario analysis Sensitivity analysis

9-6

Relevant Cash Flows

9-7

Once a company decides to take on a new investment project their cash flows are going to be different If the Blue Hen Brewery takes on this new product

line their cash flows will be altered

The challenge for the Finance manager is to determine if the change in cash flows that result from the investment will increase the shareholder value

9-8

9-9

Incremental Cash Flows for a Project

Relevant Cash Flows

Include only cash flows that will only occur if the project is accepted Incremental cash flows

The stand-alone principle allows us to analyze each project in isolation from the firm simply by focusing on incremental cash flows

In general it is easy to determine cash flows that are directly linked to the investment project under consideration Incremental revenue from the new product (eg

sales of the new beer) Incremental costs from the new product (eg

brewing ingredients packaging marketing)

There are however some situations where it can be difficult to determine if cash flows are or are not relevant

9-10

Relevant

bullOpportunity costsbullSide effectserosionbullNet working capitalbullTax effectsbullAfter tax salvage value

Not Relevant

bull ldquoSunkrdquo costsbullFinancing costs

9-11

The most valuable alternative that is given up if a particular investment is undertaken

If the project being considered is using an asset that has alternative uses and value then it is a relevant cash flow

9-12

Opportunity Cost

For the new Blue Hen Brewery beer being considered the plan is to use an older brewery building that was purchased years ago for $100000 and after depreciation is currently on their books for $40000

Should this be considered in the cash flow analysis for evaluating the new higher-alcohol product for Blue Hen Brewery If so what is the relevant cash flow amount

9-13

Which of the following is correct with respect to how to treat the old building that will be used for the new Blue Hen Brewery productA Since it is currently not being used it should be viewed as

ldquofreerdquo and have no impact on the cash flow for analyzing the new investment opportunity (ie this is a sunk cost)

B The cash flow impact to the project should be $100000 since this is what the building cost years ago

C The cash flow impact to the project should be $40000 since this is what the book value of the building currently is

D None of the above

9-14

The opportunity cost is what the building and land could be sold for (ie the current market value of the building) This is the most valuable alternative that is given up if a

particular investment is undertaken So if the building could be sold for say $75000 then it

is this amount of $75000 that is a relevant cash flow in the investment decision

9-15

9-16

When a company launches a new product there could be ldquospilloverrdquo impacts on the sales of existing products Known as ldquoside effectsrdquo Can be positive ndash the new product increases the

sales of existing products Can be negative ndash the new product decreases

the sales of existing products (called ldquoerosionrdquo)

The cash flow of a new project that comes at the expense of a firmrsquos existing projects

Also known as ldquoproduct cannibalizationrdquo

9-17

Erosion

There are many very loyal customers of Blue Hen Brewery that drink only Blue Hen beer products

Some of these customers will buy the new higher-alcohol products instead of buying existing Blue Hen Brewery products This new product will ldquoeroderdquo or ldquocannibalizerdquo existing

product lines

This is a relevant cash flow impact that should be considered in the investment analysis for the new product

9-18

Thrill Rides is considering adding a new roller coaster to its amusement park The addition is expected to increase its overall ticket sales In particular the company expects to sell more tickets for its current roller coaster and experience extremely high demand for its new coaster Sales for its boat ride are expected to decline but food and beverage sales are expected to increase significantly All of the following are side effects associated with the new roller coaster with the exception of the

A Increased food sales

B Additional sales for the existing coaster

C Increased food costs from the higher food sales

D Reduced sales for the boat ride

E Ticket sales for the new coaster

9-19

9-20

Net working capital is Current Assets minus Current Liabilities

Current Assets Current Liabilitiesbull Cashbull Accounts Receivablebull Inventory

bull Accounts Payable

Most investment projects will impact a firmrsquos working capital Accounts receivable and inventory would increase to

support higher sales levels Accounts payable would likely increase as inventory

increases

These cash flows donrsquot appear on the income statement due to the GAAP matching principle Sales recorded when made not when cash is received Cost of goods sold recorded when sales are made

whether suppliers paid yet or not

9-21

In general most projects will require an investment in working capital at the beginning of the project This would need to be captured in the cash flow analysis

(as a cash outflow) at the time of launch or in the first year

At the end of the project the increase in working capital would no longer be needed as inventories are sold receivables collected etc This would need to be captured in the last year of the

project as a cash inflow from the release of working capital

9-22

We need to consider the tax impacts of all cash flows

Incremental cash flows are meant to be after-taxincremental cash flows

Which tax rate is most relevant for after-tax cash flowsA Marginal tax rateB Average tax rate

9-23

Many projects will require an investment in long-term assets at the beginning of the project This would need to be captured in the cash flow

analysis (as a cash outflow) at the time of launch

At the end of the project if there is value in this fixed asset the after-tax salvage value needs to be determined

9-24

If the salvage value is different from the book value of the asset then there is a tax effect which impacts cash flows

9-25

After-Tax Salvage

Salvage Amount= Tax rate [Salvage

Amount ndash Book Value]-

Book Value Initial Cost= - Accumulated

Depreciation

Straight-line depreciationD = (Initial cost ndash salvage) number of yearsStraight Line rarr Salvage Value

MACRS (Accelerated Depreciation)Depreciate rarr 0Recovery Period = Class Life12 Year ConventionMultiply percentage in table by the initial cost

9-26Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

You purchase a new piece of equipment for $100000 to be used in a project that will last 4 years If it is depreciated on a straight-line basis over 5 years what is the book value after 4 years

A $80000B $75000C $25000D $20000E $0

9-27

If you then sell this fixed asset at the end of the project (after 4 years) for $20000 what is your after-tax salvage value (Assume a 30 tax rate)

A $26000B $20000C $14000D $80000E $0

9-28

If you then sell this fixed asset at the end of the project (after 4 years) for $30000 what is your after-tax salvage value (Assume a 30 tax rate)

A $39000B $30000C $27000D $21000E $0

9-29

Net Salvage Cash Flow = SP - (SP-BV)(T)

WhereSP = Selling PriceBV = Book ValueT = Corporate tax rate

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-30

This represents the tax paid on the gain or the tax benefit of the loss

Depreciation and After-Tax Salvage Car purchased for $12000 5-year property Marginal tax rate = 34

9-31

Depreciation 5-year Asset

Year Beg BV Depr Deprec End BV1 1200000$ 2000 240000$ 960000$ 2 960000$ 3200 384000$ 576000$ 3 576000$ 1920 230400$ 345600$ 4 345600$ 1152 138240$ 207360$ 5 207360$ 1152 138240$ 69120$ 6 69120$ 576 69120$ -$

10000 1200000$

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Sheet1

Sheet2

Sheet3

Depreciation 5-year Asset

Year Beg BV Depr Deprec End BV1 1200000$ 2000 240000$ 960000$ 2 960000$ 3200 384000$ 576000$ 3 576000$ 1920 230400$ 345600$ 4 345600$ 1152 138240$ 207360$ 5 207360$ 1152 138240$ 69120$ 6 69120$ 576 69120$ -$

10000 1200000$

Net Salvage Cash Flow = SP - (SP-BV)(T)If sold at EOY 5 for $3000

NSCF = 3000 - (3000 - 69120)(34) = $221501= $3000 ndash 78499 = $221501

If sold at EOY 2 for $4000NSCF = 4000 - (4000 - 5760)(34) = $459840

= $4000 ndash (-59840) = $459840

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-32

What is the after-tax net salvage cash flow at end of year 5 and 2

Sheet1

Sheet2

Sheet3

A cost that has already been incurred and cannot be recouped

Therefore it should not be considered in an investment decision

9-33

Sunk Cost

The Blue Hen Brewery spent $100000 on market research and consulting fees to analyze their higher-alcohol beer product

Is this a sunk costA YesB NoC More information is needed

9-34

In Chapter 2 we learned that financing costs (eg interest expense) is a cash flow to creditors Interest expense is not an operating expense

We care only about cash flow from assets when we make investment decisions

Financing decisions are important but this is a separate question from deciding if an investment increases shareholder value or not Thus Financing costs are not a relevant cash flow in

analyzing an investment project

9-35

Relevant

bullOpportunity costsbullSide effectserosionbullNet working capitalbullTax effectsbullAfter-tax salvage value

Not Relevant

bull ldquoSunkrdquo costsbullFinancing costs

9-36

Which one of the following principles refers to the assumption that a project will be evaluated based on its incremental cash flows

A Forecast assumption principleB Base assumption principleC Fallacy principleD Erosion principle E Stand-alone principle

9-37

A cost that should be ignored when evaluating a project because that cost has already been incurred and cannot be recouped is referred to as a(n)

A Fixed costB Forgotten costC Variable costD Opportunity costE Sunk cost

9-38

Lake City Plastics currently produces plastic plates and silverware The company is considering expanding its product offerings to include plastic serving trays All of the following are relevant costs to this project with the exception of

A The cost of additional utilities required to operate the serving tray production operation

B Any change in the expected sales of plates and silverware gained from offering trays also

C A percentage of the current operating overhead

D The additional plastic raw materials that would be required

E The cost to acquire the forms needed to mold the trays

9-39

Which one of the following terms is most commonly used to describe the cash flows of a new project that are simply an offset of reduced cash flows for a current project

A Opportunity costB Sunk costC ErosionD Replicated flowsE Pirated flows

9-40

Pro Forma Financial

Statements and Cash Flows

9-41

The process to evaluate a proposed investment is as follows

9-42

Pro Forma Financial

Statements

Projected Cash Flows

Estimate Project Value

bull Assumptions are gathered and these serve as the basis for the pro forma financial statements

bull Incremental cash flows need to be determined Cash flow from

assets

bull Project value is determined NPV IRR PI Payback

Financial statements projecting future yearsrsquo operations Pro forma income

statement Pro forma balance sheet

Summarizes all relevant information for a project

9-43

Pro Forma Financial

Statements

Underwater Adventures Inc specializes in selling unique underwater experiences for scuba divers and snorkelers They have developed a ldquoshark attractantrdquo product to meet

this demand of customers who want to get close to sharks for better photos to post on social media

We have been asked to evaluate whether launching this product is a good idea

9-44

Estimated sales 50000 cans Sales Price per can $400 Cost per can $250 Estimated life 3 years Fixed costs $12000year Initial equipment cost $90000

100 depreciated over 3 year life Investment in NWC $20000 Tax rate 34 Cost of capital 20

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-45

9-46Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Sales (50000 units at $400unit) $200000Variable Costs ($250unit) ($125000)Gross Profit $75000Fixed Costs ($12000)Depreciation ($90000 3) ($30000)EBIT $33000Taxes (34) ($11200)

Net Income $21780

The pro forma income statement currently does not have any interest expense

Should interest expense be includedA YesB No

9-47

No interest expense is a financing expense and not a component of operating cash flow

We need to understand the cash flow impacts that result from changes in the balance sheet Investments in working capital (eg higher

inventory and accounts receivable) Investments in fixed assets (ie capital

requirements of the project) We donrsquot care about the financing aspects

of the balance sheet For the same reason we didnrsquot consider interest

expense in the pro forma income statement9-48

Estimated sales 50000 cans Sales Price per can $400 Cost per can $250 Estimated life 3 years Fixed costs $12000year Initial equipment cost $90000

100 depreciated over 3 year life Investment in NWC $20000 Tax rate 34 Cost of capital 20

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-49

9-50Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Year0 1 2 3

Net Working Capital

$20000 $20000 $20000 $20000

Net Fixed Assets

90000 60000 30000 0

Total Investment

$110000 $80000 $50000 $20000

Net Fixed Assets declines by the amount of depreciation each year

The process to evaluate a proposed investment is as follows

9-51

Pro Forma Financial

Statements

Projected Cash Flows

Estimate Project Value

9-52

Net Income Depreciation= +

Earnings Before Interest amp Taxes Depreciation Taxes= + -

Operating Cash Flow

Operating Cash Flow= minus

Net Capital

Spending

Changes in Net

Working Capital

Cash Flow from

Assetsminus

+ Interest

Will be 0 since interest is not a

relevant cash flow

9-53

Sales (50000 units at $400unit)

$200000

Variable Costs ($250unit) (125000)

Gross profit $ 75000

Fixed costs (12000)

Depreciation ($90000 3) (30000)

EBIT $ 33000

Taxes (34) (11220)

Net Income $ 21780=======

What is the operating cash flow

A $21750B $33000C $63000D $51780E $63780

9-54

Net Income Depreciation= + If no interest expense

Earnings Before Interest amp Taxes Depreciation Taxes= + -

Operating Cash Flow

$21780 $30000= +If no interest

expense

$33000 $30000 $11220= + -Operating Cash Flow

= $51780

9-55

Year

0 1 2 3

OCF $51780 $51780 $51780

NWC -$20000 20000

Capital Spending

-$90000

CFFA -$110000 $51780 $51780 $71780

Note Investment in NWC is recovered in final yearEquipment cost is a cash outflow in year 0

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

9-56Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Year 0 1 2 3Sales 200000 200000 200000Variable Costs 125000 125000 125000Gross Profit 75000 75000 75000Fixed Costs 12000 12000 12000Depreciation 30000 30000 30000EBIT 33000 33000 33000Taxes 11220 11220 11220Net Income 21780 21780 21780

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Pro Forma Income Statement

Cash Flows

The process to evaluate a proposed investment is as follows

9-57

Pro Forma Financial

Statements

Projected Cash Flows

Estimate Project Value

9-58

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Net Present Value $1064769IRR 2576

Cash Flows

We can estimate the project value by calculation the NPV and IRR

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

9-59

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Net Present Value $1064769IRR 2576

Cash Flows

Should we accept or reject the project

Acceptbull The NPV is gt 0bull The IRR is greater than the

required rate of return of 20

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

9-60

Year 0 1 2 3Sales 200000 200000 200000Variable Costs 125000 125000 125000Gross Profit 75000 75000 75000Fixed Costs 12000 12000 12000Depreciation 30000 30000 30000EBIT 33000 33000 33000Taxes 11220 11220 11220Net Income 21780 21780 21780

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Net Present Value $1064769IRR 2576

Pro Forma Income Statement

Cash Flows

OCF = EBIT + Depreciation ndash TaxesOCF = Net Income + Depreciation (if no interest)

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

A new project is expected to generate an operating cash flow of $38728 and will initially free up $11610 in net working capital Purchases of fixed assets costing $52800 will be required to start up the project What is the total cash flow for this project at time zero

A -$64410

B -$41190

C -$52800

D $25682

E $50338

9-61

The pro forma income statement for a proposed investment should include all of the following except

A Fixed costsB Forecasted salesC Depreciation expenseD TaxesE Changes in net working capital

9-62

9-63

Sales (50000 units at $400unit)

$200000

Variable Costs ($250unit) (125000)

Gross profit $ 75000

Fixed costs (12000)

Depreciation ($90000 3) (30000)

EBIT $ 33000

Taxes (34) (11220)

Net Income $ 21780=======

What is the operating cash flow (using the approaches already learned)

A $21750B $33000C $63000D $51780E $63780

9-64

Net Income Depreciation= + If no interest expense

Earnings Before Interest amp Taxes Depreciation Taxes= + -

Operating Cash Flow

$21780 $30000= +If no interest

expense

$33000 $30000 $11220= + -Operating Cash Flow

= $51780

Option 1

Option 2

The tax savings that results from the depreciation deduction

Calculated as depreciation multiplied by the corporate tax rate

9-65

Depreciation Tax Shield

9-66

(Sales ndash Costs) (1 ndash Tax Rate) = +Operating

Cash FlowDepreciation Tax Rate

Option 3

9-67

Sales (50000 units at $400unit)

$200000

Variable Costs ($250unit) (125000)

Gross profit $ 75000

Fixed costs (12000)

Depreciation ($90000 3) (30000)

EBIT $ 33000

Taxes (34) (11220)

Net Income $ 21780=======

What is the operating cash flow using the tax shield approach

9-68

($200000 -$137000) 66

+ $30000 34

= $51780

=

(Sales ndash Costs) (1 ndash Tax Rate) = +Operating

Cash FlowDepreciation Tax Rate

Which one of the following is the formula for computing operating cash flow

A Net Income + Depreciation + InterestB Net Income + Depreciation - InterestC EBIT + Depreciation - TaxesD (Sales ndash Costs) (1-Tax Rate) + (Depreciation Tax Rate)E A C and D

9-69

Evaluating NPV

Estimates

9-70

Calculating NPV is just an estimate based on the best information available The calculations could be wrong The confidence level in the analysis is a

judgment call A positive NPV suggests the project may be

worth doing But more analysis normally would be required

It is important to understand what the NPV looks like when things donrsquot go as planned

9-71

9-72

If NPV gt 0 Accept the project

Maybe accept the

project

Why maybe

9-73

What drives the NPV result

Projected future cash

flow

How do you know your projected estimates are

accurate

9-74

Forecasting Risk

We need to develop some tools to understand where potential estimate errors may exist

The possibility that errors (or poor estimates) in projected cash flows will lead to incorrect decisions

Also called ldquoestimation riskrdquo

The following tools will help assess the reasonableness of the NPV analysis

9-75

What-If Analysis

Scenario analysis Sensitivity analysis

Understand sources of value

Articulate what drives the investment to deliver a positive NPV

A positive NPV is creating value for the shareholders

We should understand what is the source of this value

9-76

Project Idea Potential Questions to Answer

New Product bull Is this new product better than the competitionbull Does this new product meet an unmet consumer need

Marketing Campaign

bull Is it reasonable that this marketing effort can increase sales as estimated

CompanyAcquisition

bull Are there sufficient synergies that can be realized to justify the purchase price

Cost Improvements

bull How realistic is it that the expected cost savings will truly materialize in the time frame noted (without unexpected negative impacts)

9-77

Scenario Analysis

The determination of what happens to NPV estimates when we ask what-if questions

Sensitivity Analysis

Investigation of what happens to NPV estimates when only one variable is changed

Scenario and Sensitivity Analysis

9-78

Examines several possible situations Worst case Base case or most likely case Best case

Provides a range of possible outcomes

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-79

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Base Lower UpperUnits 6000 5500 6500 Priceunit 8000$ 7500$ 8500$ Variable costunit 6000$ 5800$ 6200$ Fixed costyear 50000$ 45000$ 55000$

BASE BEST WORST

Initial investment 200000$ Depreciated to salvage value of 0 over 5 yearsDeprecyr 40000$

Project Life 5 yearsTax rate 34Required return 12

Note ldquoLowerrdquo ne WorstldquoUpperrdquo ne Best

9-80

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

BASE WORST BESTUnits 6000 5500 6500 Priceunit 8000$ 7500$ 8500$ Variable costunit 6000$ 6200$ 5800$ Fixed Cost 50000$ 55000$ 45000$

Sales 480000$ 412500$ 552500$ Variable Cost 360000 341000 377000Fixed Cost 50000 55000 45000Depreciation 40000 40000 40000EBIT 30000 (23500) 90500Taxes 10200 (7990) 30770Net Income 19800 (15510) 59730 + Deprec 40000 40000 40000

TOTAL CF 59800 24490 99730

NPV 15566 (111719) 159504

IRR 151 -144 409

9-81

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

Considers only a few possible outcomes

Assumes perfectly correlated inputs All ldquobadrdquo values occur together and

all ldquogoodrdquo values occur together More likely to have some ldquobadrdquo values

and some ldquogoodrdquo values

9-82

Shows how changes in an input variable affect NPV or IRR

Each variable is fixed except one Change one variable to see the effect

on NPV or IRR Answers ldquowhat ifrdquo questions

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-83

Unit Sales Sensitivity

$(8226)

$15566

$39357

-2000000

-1000000

000

1000000

2000000

3000000

4000000

5000000

5500 6000 6500

Unit Sales

NPV

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-84

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Sensitivity (2)

GRAPH

GRAPH

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Pro Forma

Chart3

Y
Unit Sales
NPV
Unit Sales Sensitivity
-82259060352458
155656169002312
393571398357083

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Sensitivity

Y
Unit Sales
NPV
Unit Sales Sensitivity

Sensitivity (2)

GRAPH

GRAPH

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Pro Forma

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Base Fixed Cost Fixed CostUnits 6000 6000 6000 Priceunit 80$ 80 80Variable costunit 60$ 60 60Fixed costyear 50000$ 55000 45000

Initial investment 200000$ Depreciated to salvage value of 0 over 5 yearsDeprecyr 40000$

Tax rate 34Required Return 12

BASE FC FCUnits 6000 6000 6000 Priceunit 80$ 80$ 80$ Variable costunit 60$ 60$ 60$ Fixed cost 50000$ 55000$ 45000$

Sales 480000$ 480000$ 480000$ Variable Cost 360000 360000 360000 Fixed Cost 50000 55000 45000 Depreciation 40000 40000 40000 EBIT 30000 25000 35000 Taxes 10200 8500 11900 Net Income 19800 16500 23100 + Deprec 40000 40000 40000

TOTAL CF 59800 56500 63100

NPV 15566$ 3670$ 27461$

Fixed Cost Sensitivity

$27461

$15566

$3670

000

500000

1000000

1500000

2000000

2500000

3000000

$45000 $50000 $55000Fixed Cost

NPV

9-85

SHARK

DEPRC

MMCC

Scenario

Sensitivity_A

Sensitivity_A

Y
Unit Sales
NPV
Unit Sales Sensitivity

Sensitivity (2)

Y
Fixed Cost
NPV
Fixed Cost Sensitivity

GRAPH

Pro Forma

Pro Forma

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Chart4

Y
Fixed Cost
NPV
Fixed Cost Sensitivity
274613783679698
155656169002312
36698554324927

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Sensitivity

Y
Unit Sales
NPV
Unit Sales Sensitivity

Sensitivity (2)

Y
Fixed Cost
NPV
Fixed Cost Sensitivity

GRAPH

Pro Forma

Pro Forma

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Strengths Identifies dangerous variables Gives some breakeven information

Weaknesses Says nothing about the likelihood of

change in a variable Ignores relationships among

variables

9-86

Neither provides a decision rule No indication whether a projectrsquos

expected return is sufficient to compensate for its risk

Ignores diversification Measures only stand-alone risk which

may not be the most relevant risk in capital budgeting

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-87

Scenario analysis is best described as the determination of the

A Most likely outcome for a projectB Reasonable range of project outcomesC Variable that has the greatest effect on a projectrsquos

outcomeD Effect that a projectrsquos initial cost has on the projectrsquos net

present valueE Change in a projectrsquos net present value given a stated

change in projected sales

9-88

  • FINC311 Principles of Finance
  • Corporate Finance Overview
  • Building Blocks for Decisions
  • Introduction Example
  • Introduction
  • Chapter Objectives
  • Slide Number 7
  • Cash Flow Introduction
  • Relevant Cash Flows
  • Relevant Cash Flows
  • Relevant Cash Flows - Watchouts
  • Opportunity Cost
  • Opportunity Cost Example
  • Opportunity Cost Example
  • Opportunity Cost Example
  • Side Effects
  • Side Effects Erosion
  • Erosion Example
  • Question ndash Side Effects
  • Net Working Capital
  • Changes in Net Working Capital
  • Changes in Net Working Capital
  • Tax Effects
  • After-Tax Salvage Value
  • After-Tax Salvage
  • Computing Depreciation
  • Question
  • Question
  • Question
  • Tax Effect on Salvage
  • Example
  • Salvage Value amp Tax Effects
  • Sunk Cost
  • Sunk Cost Example
  • Financing Costs
  • Relevant Cash Flows - Watchouts
  • Question
  • Question
  • Question
  • Question
  • Slide Number 41
  • Evaluating a Proposed Investment
  • Pro Forma Financial Statements
  • Shark Attractant Project
  • Shark Attractant Project- Assumptions
  • Pro Forma Income Statement
  • Where is the Interest Expense
  • Pro Forma Balance Sheet
  • Shark Attractant Project- Assumptions
  • Projected Capital Requirements
  • Evaluating a Proposed Investment
  • Cash Flow - Definitions
  • Pro Forma Income Statement
  • Operating Cash Flow
  • Projected Total Cash Flows
  • Shark Attractant Project ndash Cash Flows
  • Evaluating a Proposed Investment
  • Estimate Project Value
  • Making the Decision
  • Shark Attractant Project
  • Question
  • Question
  • Pro Forma Income Statement
  • Operating Cash Flow
  • Depreciation Tax Shield
  • The Tax Shield Approach to OCF
  • Pro Forma Income Statement
  • The Tax Shield Approach to OCF
  • Question
  • Slide Number 70
  • Intro to Evaluating NPV
  • NPV Decision Rule
  • Risk with NPV Analysis
  • NPV ndash Forecasting Risk
  • Tools to Evaluate NPV Analysis
  • Understanding Sources of Value
  • Scenario and Sensitivity Analysis
  • Slide Number 78
  • Scenario Analysis
  • Scenario Analysis Example
  • Scenario Analysis Example
  • Problems with Scenario Analysis
  • Sensitivity Analysis
  • Sensitivity Analysis Unit Sales
  • Sensitivity Analysis Fixed Costs
  • Sensitivity Analysis
  • Disadvantages of Sensitivity and Scenario Analysis
  • Question
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
-30 -20 -10 0 10 20 30
UNITS -70083865667486 -415340381449136 -129842106223412 155656169002312 441154444228038 726652719453761 101215099467949
FC 512529013034468 393571398357083 274613783679698 155656169002312 36698554324927 -82259060352458 -201216675029843
Sensitivity Analysis
-30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30
Base Units Units Units Units Units Units Units Base Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 80 80 80 80 80 80 80 Priceunit $ 80 80 80 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 60 60 60 Variable costunit $ 60 60 60 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 50000 50000 50000 50000 50000 Fixed costyear $ 50000 35000 40000 45000 50000 55000 60000 65000
Initial investment $ 200000 Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000 Deprecyr $ 40000
Tax rate 34 Tax rate 34
Required Return 12 Required Return 12
BASE UNITS UNITS UNITS UNITS UNITS UNITS UNITS BASE FC FC FC FC FC FC FC
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 Fixed cost $ 50000 $ 35000 $ 40000 $ 45000 $ 50000 $ 55000 $ 60000 $ 65000
Sales $ 480000 $ 336000 $ 384000 $ 432000 $ 480000 $ 528000 $ 576000 $ 624000 Sales $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000
Variable Cost 360000 252000 288000 324000 360000 396000 432000 468000 Variable Cost 360000 360000 360000 360000 360000 360000 360000 360000
Fixed Cost 50000 50000 50000 50000 50000 50000 50000 50000 Fixed Cost 50000 35000 40000 45000 50000 55000 60000 65000
Depreciation 40000 40000 40000 40000 40000 40000 40000 40000 Depreciation 40000 40000 40000 40000 40000 40000 40000 40000
EBIT 30000 (6000) 6000 18000 30000 42000 54000 66000 EBIT 30000 45000 40000 35000 30000 25000 20000 15000
Taxes 10200 (2040) 2040 6120 10200 14280 18360 22440 Taxes 10200 15300 13600 11900 10200 8500 6800 5100
Net Income 19800 (3960) 3960 11880 19800 27720 35640 43560 Net Income 19800 29700 26400 23100 19800 16500 13200 9900
+ Deprec 40000 40000 40000 40000 40000 40000 40000 40000 + Deprec 40000 40000 40000 40000 40000 40000 40000 40000
TOTAL CF 59800 36040 43960 51880 59800 67720 75640 83560 TOTAL CF 59800 69700 66400 63100 59800 56500 53200 49900
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Change in NPV -5502 -3668 -1834 00 1834 3668 5502 Change in NPV 2293 1528 764 00 -764 -1528 -2293
Change in Variable -300 -200 -100 00 100 200 300 Change in Variable -300 -200 -100 00 100 200 300
SENSITIVITY RATIO 1834 1834 1834 000 1834 1834 1834 SENSITIVITY RATIO -764 -764 -764 000 -764 -764 -764
INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship Sensitivity Ratio = ( Change in NPV) Change in Variable
Negative = Inverse relationship Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 69700 66400 63100 59800 56500 53200 49900
PV $ 215566 $ 129916 $ 158466 $ 187016 $ 215566 $ 244115 $ 272665 $ 301215
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 PV $ 215566 $ 251253 $ 239357 $ 227461 $ 215566 $ 203670 $ 191774 $ 179878
NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Sensitivity Analysis
Base Units Units Fixed Cost Fixed Cost
Units 6000 5500 6500 6000 6000
Priceunit $ 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 UNITS
Fixed costyear $ 50000 50000 50000 55000 45000 X 5500 6000 6500
Y $ (8226) $ 15566 $ 39357
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS UNITS FC FC
Units 6000 5500 6500 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 440000 $ 520000 $ 480000 $ 480000
Variable Cost 360000 330000 390000 360000 360000
Fixed Cost 50000 50000 50000 55000 45000
Depreciation 40000 40000 40000 40000 40000
EBIT 30000 20000 40000 25000 35000
Taxes 10200 6800 13600 8500 11900
Net Income 19800 13200 26400 16500 23100
+ Deprec 40000 40000 40000 40000 40000
TOTAL CF 59800 53200 66400 56500 63100
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
FC
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) X $ 45000 $ 50000 $ 55000
59800 53200 66400 56500 63100 Y $ 27461 $ 15566 $ 3670
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
PV $ 215566 $ 191774 $ 239357 $ 203670 $ 227461
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
45000
50000
55000
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
-30 -20 -10 0 10 20 30
UNITS -70083865667486 -415340381449136 -129842106223412 155656169002312 441154444228038 726652719453761 101215099467949
FC 512529013034468 393571398357083 274613783679698 155656169002312 36698554324927 -82259060352458 -201216675029843
Sensitivity Analysis
-30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30
Base Units Units Units Units Units Units Units Base Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 80 80 80 80 80 80 80 Priceunit $ 80 80 80 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 60 60 60 Variable costunit $ 60 60 60 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 50000 50000 50000 50000 50000 Fixed costyear $ 50000 35000 40000 45000 50000 55000 60000 65000
Initial investment $ 200000 Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000 Deprecyr $ 40000
Tax rate 34 Tax rate 34
Required Return 12 Required Return 12
BASE UNITS UNITS UNITS UNITS UNITS UNITS UNITS BASE FC FC FC FC FC FC FC
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 Fixed cost $ 50000 $ 35000 $ 40000 $ 45000 $ 50000 $ 55000 $ 60000 $ 65000
Sales $ 480000 $ 336000 $ 384000 $ 432000 $ 480000 $ 528000 $ 576000 $ 624000 Sales $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000
Variable Cost 360000 252000 288000 324000 360000 396000 432000 468000 Variable Cost 360000 360000 360000 360000 360000 360000 360000 360000
Fixed Cost 50000 50000 50000 50000 50000 50000 50000 50000 Fixed Cost 50000 35000 40000 45000 50000 55000 60000 65000
Depreciation 40000 40000 40000 40000 40000 40000 40000 40000 Depreciation 40000 40000 40000 40000 40000 40000 40000 40000
EBIT 30000 (6000) 6000 18000 30000 42000 54000 66000 EBIT 30000 45000 40000 35000 30000 25000 20000 15000
Taxes 10200 (2040) 2040 6120 10200 14280 18360 22440 Taxes 10200 15300 13600 11900 10200 8500 6800 5100
Net Income 19800 (3960) 3960 11880 19800 27720 35640 43560 Net Income 19800 29700 26400 23100 19800 16500 13200 9900
+ Deprec 40000 40000 40000 40000 40000 40000 40000 40000 + Deprec 40000 40000 40000 40000 40000 40000 40000 40000
TOTAL CF 59800 36040 43960 51880 59800 67720 75640 83560 TOTAL CF 59800 69700 66400 63100 59800 56500 53200 49900
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Change in NPV -5502 -3668 -1834 00 1834 3668 5502 Change in NPV 2293 1528 764 00 -764 -1528 -2293
Change in Variable -300 -200 -100 00 100 200 300 Change in Variable -300 -200 -100 00 100 200 300
SENSITIVITY RATIO 1834 1834 1834 000 1834 1834 1834 SENSITIVITY RATIO -764 -764 -764 000 -764 -764 -764
INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship Sensitivity Ratio = ( Change in NPV) Change in Variable
Negative = Inverse relationship Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 69700 66400 63100 59800 56500 53200 49900
PV $ 215566 $ 129916 $ 158466 $ 187016 $ 215566 $ 244115 $ 272665 $ 301215
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 PV $ 215566 $ 251253 $ 239357 $ 227461 $ 215566 $ 203670 $ 191774 $ 179878
NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Sensitivity Analysis
Base Units Units Fixed Cost Fixed Cost
Units 6000 5500 6500 6000 6000
Priceunit $ 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 UNITS
Fixed costyear $ 50000 50000 50000 55000 45000 X 5500 6000 6500
Y $ (8226) $ 15566 $ 39357
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS UNITS FC FC
Units 6000 5500 6500 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 440000 $ 520000 $ 480000 $ 480000
Variable Cost 360000 330000 390000 360000 360000
Fixed Cost 50000 50000 50000 55000 45000
Depreciation 40000 40000 40000 40000 40000
EBIT 30000 20000 40000 25000 35000
Taxes 10200 6800 13600 8500 11900
Net Income 19800 13200 26400 16500 23100
+ Deprec 40000 40000 40000 40000 40000
TOTAL CF 59800 53200 66400 56500 63100
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
FC
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) X $ 45000 $ 50000 $ 55000
59800 53200 66400 56500 63100 Y $ 27461 $ 15566 $ 3670
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
PV $ 215566 $ 191774 $ 239357 $ 203670 $ 227461
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
-30 -20 -10 0 10 20 30
UNITS -70083865667486 -415340381449136 -129842106223412 155656169002312 441154444228038 726652719453761 101215099467949
FC 512529013034468 393571398357083 274613783679698 155656169002312 36698554324927 -82259060352458 -201216675029843
Sensitivity Analysis
-30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30
Base Units Units Units Units Units Units Units Base Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 80 80 80 80 80 80 80 Priceunit $ 80 80 80 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 60 60 60 Variable costunit $ 60 60 60 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 50000 50000 50000 50000 50000 Fixed costyear $ 50000 35000 40000 45000 50000 55000 60000 65000
Initial investment $ 200000 Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000 Deprecyr $ 40000
Tax rate 34 Tax rate 34
Required Return 12 Required Return 12
BASE UNITS UNITS UNITS UNITS UNITS UNITS UNITS BASE FC FC FC FC FC FC FC
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 Fixed cost $ 50000 $ 35000 $ 40000 $ 45000 $ 50000 $ 55000 $ 60000 $ 65000
Sales $ 480000 $ 336000 $ 384000 $ 432000 $ 480000 $ 528000 $ 576000 $ 624000 Sales $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000
Variable Cost 360000 252000 288000 324000 360000 396000 432000 468000 Variable Cost 360000 360000 360000 360000 360000 360000 360000 360000
Fixed Cost 50000 50000 50000 50000 50000 50000 50000 50000 Fixed Cost 50000 35000 40000 45000 50000 55000 60000 65000
Depreciation 40000 40000 40000 40000 40000 40000 40000 40000 Depreciation 40000 40000 40000 40000 40000 40000 40000 40000
EBIT 30000 (6000) 6000 18000 30000 42000 54000 66000 EBIT 30000 45000 40000 35000 30000 25000 20000 15000
Taxes 10200 (2040) 2040 6120 10200 14280 18360 22440 Taxes 10200 15300 13600 11900 10200 8500 6800 5100
Net Income 19800 (3960) 3960 11880 19800 27720 35640 43560 Net Income 19800 29700 26400 23100 19800 16500 13200 9900
+ Deprec 40000 40000 40000 40000 40000 40000 40000 40000 + Deprec 40000 40000 40000 40000 40000 40000 40000 40000
TOTAL CF 59800 36040 43960 51880 59800 67720 75640 83560 TOTAL CF 59800 69700 66400 63100 59800 56500 53200 49900
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Change in NPV -5502 -3668 -1834 00 1834 3668 5502 Change in NPV 2293 1528 764 00 -764 -1528 -2293
Change in Variable -300 -200 -100 00 100 200 300 Change in Variable -300 -200 -100 00 100 200 300
SENSITIVITY RATIO 1834 1834 1834 000 1834 1834 1834 SENSITIVITY RATIO -764 -764 -764 000 -764 -764 -764
INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship Sensitivity Ratio = ( Change in NPV) Change in Variable
Negative = Inverse relationship Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 69700 66400 63100 59800 56500 53200 49900
PV $ 215566 $ 129916 $ 158466 $ 187016 $ 215566 $ 244115 $ 272665 $ 301215
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 PV $ 215566 $ 251253 $ 239357 $ 227461 $ 215566 $ 203670 $ 191774 $ 179878
NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Sensitivity Analysis
Base Units Units Fixed Cost Fixed Cost
Units 6000 5500 6500 6000 6000
Priceunit $ 80 80 80 80 80
Variable costunit $ 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 55000 45000 X 5500 6000 6500
Y $ (8226) $ 15566 $ 39357
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS UNITS FC FC
Units 6000 5500 6500 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 440000 $ 520000 $ 480000 $ 480000
Variable Cost 360000 330000 390000 360000 360000
Fixed Cost 50000 50000 50000 55000 45000
Depreciation 40000 40000 40000 40000 40000
EBIT 30000 20000 40000 25000 35000
Taxes 10200 6800 13600 8500 11900
Net Income 19800 13200 26400 16500 23100
+ Deprec 40000 40000 40000 40000 40000
TOTAL CF 59800 53200 66400 56500 63100
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
PV $ 215566 $ 191774 $ 239357 $ 203670 $ 227461
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
5500
6000
6500
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
-30 -20 -10 0 10 20 30
UNITS -70083865667486 -415340381449136 -129842106223412 155656169002312 441154444228038 726652719453761 101215099467949
FC 512529013034468 393571398357083 274613783679698 155656169002312 36698554324927 -82259060352458 -201216675029843
Sensitivity Analysis
-30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30
Base Units Units Units Units Units Units Units Base Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 80 80 80 80 80 80 80 Priceunit $ 80 80 80 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 60 60 60 Variable costunit $ 60 60 60 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 50000 50000 50000 50000 50000 Fixed costyear $ 50000 35000 40000 45000 50000 55000 60000 65000
Initial investment $ 200000 Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000 Deprecyr $ 40000
Tax rate 34 Tax rate 34
Required Return 12 Required Return 12
BASE UNITS UNITS UNITS UNITS UNITS UNITS UNITS BASE FC FC FC FC FC FC FC
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 Fixed cost $ 50000 $ 35000 $ 40000 $ 45000 $ 50000 $ 55000 $ 60000 $ 65000
Sales $ 480000 $ 336000 $ 384000 $ 432000 $ 480000 $ 528000 $ 576000 $ 624000 Sales $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000
Variable Cost 360000 252000 288000 324000 360000 396000 432000 468000 Variable Cost 360000 360000 360000 360000 360000 360000 360000 360000
Fixed Cost 50000 50000 50000 50000 50000 50000 50000 50000 Fixed Cost 50000 35000 40000 45000 50000 55000 60000 65000
Depreciation 40000 40000 40000 40000 40000 40000 40000 40000 Depreciation 40000 40000 40000 40000 40000 40000 40000 40000
EBIT 30000 (6000) 6000 18000 30000 42000 54000 66000 EBIT 30000 45000 40000 35000 30000 25000 20000 15000
Taxes 10200 (2040) 2040 6120 10200 14280 18360 22440 Taxes 10200 15300 13600 11900 10200 8500 6800 5100
Net Income 19800 (3960) 3960 11880 19800 27720 35640 43560 Net Income 19800 29700 26400 23100 19800 16500 13200 9900
+ Deprec 40000 40000 40000 40000 40000 40000 40000 40000 + Deprec 40000 40000 40000 40000 40000 40000 40000 40000
TOTAL CF 59800 36040 43960 51880 59800 67720 75640 83560 TOTAL CF 59800 69700 66400 63100 59800 56500 53200 49900
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Change in NPV -5502 -3668 -1834 00 1834 3668 5502 Change in NPV 2293 1528 764 00 -764 -1528 -2293
Change in Variable -300 -200 -100 00 100 200 300 Change in Variable -300 -200 -100 00 100 200 300
SENSITIVITY RATIO 1834 1834 1834 000 1834 1834 1834 SENSITIVITY RATIO -764 -764 -764 000 -764 -764 -764
INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship Sensitivity Ratio = ( Change in NPV) Change in Variable
Negative = Inverse relationship Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 69700 66400 63100 59800 56500 53200 49900
PV $ 215566 $ 129916 $ 158466 $ 187016 $ 215566 $ 244115 $ 272665 $ 301215
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 PV $ 215566 $ 251253 $ 239357 $ 227461 $ 215566 $ 203670 $ 191774 $ 179878
NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Sensitivity Analysis
Base Units Units Fixed Cost Fixed Cost
Units 6000 5500 6500 6000 6000
Priceunit $ 80 80 80 80 80
Variable costunit $ 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 55000 45000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS UNITS FC FC
Units 6000 5500 6500 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 440000 $ 520000 $ 480000 $ 480000
Variable Cost 360000 330000 390000 360000 360000
Fixed Cost 50000 50000 50000 55000 45000
Depreciation 40000 40000 40000 40000 40000
EBIT 30000 20000 40000 25000 35000
Taxes 10200 6800 13600 8500 11900
Net Income 19800 13200 26400 16500 23100
+ Deprec 40000 40000 40000 40000 40000
TOTAL CF 59800 53200 66400 56500 63100
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
PV $ 215566 $ 191774 $ 239357 $ 203670 $ 227461
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 893 893 893 445
Recovery Allowance 114320 195920 139920 99920 71440 71440 71440 35600
Book Value 685680 489760 349840 249920 178480 107040 35600 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71440 71440 71440 35600
EBT 40680 79080 195080 200080 203560 153560 103560 89400
Taxes 13831 26887 66327 68027 69210 52210 35210 30396
Net Operating Income 26849 52193 128753 132053 134350 101350 68350 59004
Add back Depreciation 114320 195920 139920 99920 71440 71440 71440 35600
CASH FLOW from Operations 141169 248113 268673 231973 205790 172790 139790 94604
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214040 189290 156290 266204
Discounted Cash Flows (820000) 93190 160388 164821 133060 106416 81835 58755 87023
NPV $ 65488
IRR 1724
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 893 893 893 445
Recovery Allowance 114320 195920 139920 99920 71440 71440 71440 35600
Book Value 685680 489760 349840 249920 178480 107040 35600 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71440 71440 71440 35600
EBT 40680 79080 195080 200080 203560 153560 103560 89400
Taxes 13831 26887 66327 68027 69210 52210 35210 30396
Net Operating Income 26849 52193 128753 132053 134350 101350 68350 59004
Add back Depreciation 114320 195920 139920 99920 71440 71440 71440 35600
CASH FLOW from Operations 141169 248113 268673 231973 205790 172790 139790 94604
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214040 189290 156290 266204
Discounted Cash Flows (820000) 93190 160388 164821 133060 106416 81835 58755 87023
NPV $ 65488
IRR 1724
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 893 893 893 445
Recovery Allowance 114320 195920 139920 99920 71440 71440 71440 35600
Book Value 685680 489760 349840 249920 178480 107040 35600 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71440 71440 71440 35600
EBT 40680 79080 195080 200080 203560 153560 103560 89400
Taxes 13831 26887 66327 68027 69210 52210 35210 30396
Net Operating Income 26849 52193 128753 132053 134350 101350 68350 59004
Add back Depreciation 114320 195920 139920 99920 71440 71440 71440 35600
CASH FLOW from Operations 141169 248113 268673 231973 205790 172790 139790 94604
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214040 189290 156290 266204
Discounted Cash Flows (820000) 93190 160388 164821 133060 106416 81835 58755 87023
NPV $ 65488
IRR 1724
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000

Understand how to determine the relevant cash flows for a proposed investment

Understand how to analyze a projectrsquos projected cash flows

Learn how to evaluate an estimated NPV Scenario analysis Sensitivity analysis

9-6

Relevant Cash Flows

9-7

Once a company decides to take on a new investment project their cash flows are going to be different If the Blue Hen Brewery takes on this new product

line their cash flows will be altered

The challenge for the Finance manager is to determine if the change in cash flows that result from the investment will increase the shareholder value

9-8

9-9

Incremental Cash Flows for a Project

Relevant Cash Flows

Include only cash flows that will only occur if the project is accepted Incremental cash flows

The stand-alone principle allows us to analyze each project in isolation from the firm simply by focusing on incremental cash flows

In general it is easy to determine cash flows that are directly linked to the investment project under consideration Incremental revenue from the new product (eg

sales of the new beer) Incremental costs from the new product (eg

brewing ingredients packaging marketing)

There are however some situations where it can be difficult to determine if cash flows are or are not relevant

9-10

Relevant

bullOpportunity costsbullSide effectserosionbullNet working capitalbullTax effectsbullAfter tax salvage value

Not Relevant

bull ldquoSunkrdquo costsbullFinancing costs

9-11

The most valuable alternative that is given up if a particular investment is undertaken

If the project being considered is using an asset that has alternative uses and value then it is a relevant cash flow

9-12

Opportunity Cost

For the new Blue Hen Brewery beer being considered the plan is to use an older brewery building that was purchased years ago for $100000 and after depreciation is currently on their books for $40000

Should this be considered in the cash flow analysis for evaluating the new higher-alcohol product for Blue Hen Brewery If so what is the relevant cash flow amount

9-13

Which of the following is correct with respect to how to treat the old building that will be used for the new Blue Hen Brewery productA Since it is currently not being used it should be viewed as

ldquofreerdquo and have no impact on the cash flow for analyzing the new investment opportunity (ie this is a sunk cost)

B The cash flow impact to the project should be $100000 since this is what the building cost years ago

C The cash flow impact to the project should be $40000 since this is what the book value of the building currently is

D None of the above

9-14

The opportunity cost is what the building and land could be sold for (ie the current market value of the building) This is the most valuable alternative that is given up if a

particular investment is undertaken So if the building could be sold for say $75000 then it

is this amount of $75000 that is a relevant cash flow in the investment decision

9-15

9-16

When a company launches a new product there could be ldquospilloverrdquo impacts on the sales of existing products Known as ldquoside effectsrdquo Can be positive ndash the new product increases the

sales of existing products Can be negative ndash the new product decreases

the sales of existing products (called ldquoerosionrdquo)

The cash flow of a new project that comes at the expense of a firmrsquos existing projects

Also known as ldquoproduct cannibalizationrdquo

9-17

Erosion

There are many very loyal customers of Blue Hen Brewery that drink only Blue Hen beer products

Some of these customers will buy the new higher-alcohol products instead of buying existing Blue Hen Brewery products This new product will ldquoeroderdquo or ldquocannibalizerdquo existing

product lines

This is a relevant cash flow impact that should be considered in the investment analysis for the new product

9-18

Thrill Rides is considering adding a new roller coaster to its amusement park The addition is expected to increase its overall ticket sales In particular the company expects to sell more tickets for its current roller coaster and experience extremely high demand for its new coaster Sales for its boat ride are expected to decline but food and beverage sales are expected to increase significantly All of the following are side effects associated with the new roller coaster with the exception of the

A Increased food sales

B Additional sales for the existing coaster

C Increased food costs from the higher food sales

D Reduced sales for the boat ride

E Ticket sales for the new coaster

9-19

9-20

Net working capital is Current Assets minus Current Liabilities

Current Assets Current Liabilitiesbull Cashbull Accounts Receivablebull Inventory

bull Accounts Payable

Most investment projects will impact a firmrsquos working capital Accounts receivable and inventory would increase to

support higher sales levels Accounts payable would likely increase as inventory

increases

These cash flows donrsquot appear on the income statement due to the GAAP matching principle Sales recorded when made not when cash is received Cost of goods sold recorded when sales are made

whether suppliers paid yet or not

9-21

In general most projects will require an investment in working capital at the beginning of the project This would need to be captured in the cash flow analysis

(as a cash outflow) at the time of launch or in the first year

At the end of the project the increase in working capital would no longer be needed as inventories are sold receivables collected etc This would need to be captured in the last year of the

project as a cash inflow from the release of working capital

9-22

We need to consider the tax impacts of all cash flows

Incremental cash flows are meant to be after-taxincremental cash flows

Which tax rate is most relevant for after-tax cash flowsA Marginal tax rateB Average tax rate

9-23

Many projects will require an investment in long-term assets at the beginning of the project This would need to be captured in the cash flow

analysis (as a cash outflow) at the time of launch

At the end of the project if there is value in this fixed asset the after-tax salvage value needs to be determined

9-24

If the salvage value is different from the book value of the asset then there is a tax effect which impacts cash flows

9-25

After-Tax Salvage

Salvage Amount= Tax rate [Salvage

Amount ndash Book Value]-

Book Value Initial Cost= - Accumulated

Depreciation

Straight-line depreciationD = (Initial cost ndash salvage) number of yearsStraight Line rarr Salvage Value

MACRS (Accelerated Depreciation)Depreciate rarr 0Recovery Period = Class Life12 Year ConventionMultiply percentage in table by the initial cost

9-26Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

You purchase a new piece of equipment for $100000 to be used in a project that will last 4 years If it is depreciated on a straight-line basis over 5 years what is the book value after 4 years

A $80000B $75000C $25000D $20000E $0

9-27

If you then sell this fixed asset at the end of the project (after 4 years) for $20000 what is your after-tax salvage value (Assume a 30 tax rate)

A $26000B $20000C $14000D $80000E $0

9-28

If you then sell this fixed asset at the end of the project (after 4 years) for $30000 what is your after-tax salvage value (Assume a 30 tax rate)

A $39000B $30000C $27000D $21000E $0

9-29

Net Salvage Cash Flow = SP - (SP-BV)(T)

WhereSP = Selling PriceBV = Book ValueT = Corporate tax rate

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-30

This represents the tax paid on the gain or the tax benefit of the loss

Depreciation and After-Tax Salvage Car purchased for $12000 5-year property Marginal tax rate = 34

9-31

Depreciation 5-year Asset

Year Beg BV Depr Deprec End BV1 1200000$ 2000 240000$ 960000$ 2 960000$ 3200 384000$ 576000$ 3 576000$ 1920 230400$ 345600$ 4 345600$ 1152 138240$ 207360$ 5 207360$ 1152 138240$ 69120$ 6 69120$ 576 69120$ -$

10000 1200000$

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Sheet1

Sheet2

Sheet3

Depreciation 5-year Asset

Year Beg BV Depr Deprec End BV1 1200000$ 2000 240000$ 960000$ 2 960000$ 3200 384000$ 576000$ 3 576000$ 1920 230400$ 345600$ 4 345600$ 1152 138240$ 207360$ 5 207360$ 1152 138240$ 69120$ 6 69120$ 576 69120$ -$

10000 1200000$

Net Salvage Cash Flow = SP - (SP-BV)(T)If sold at EOY 5 for $3000

NSCF = 3000 - (3000 - 69120)(34) = $221501= $3000 ndash 78499 = $221501

If sold at EOY 2 for $4000NSCF = 4000 - (4000 - 5760)(34) = $459840

= $4000 ndash (-59840) = $459840

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-32

What is the after-tax net salvage cash flow at end of year 5 and 2

Sheet1

Sheet2

Sheet3

A cost that has already been incurred and cannot be recouped

Therefore it should not be considered in an investment decision

9-33

Sunk Cost

The Blue Hen Brewery spent $100000 on market research and consulting fees to analyze their higher-alcohol beer product

Is this a sunk costA YesB NoC More information is needed

9-34

In Chapter 2 we learned that financing costs (eg interest expense) is a cash flow to creditors Interest expense is not an operating expense

We care only about cash flow from assets when we make investment decisions

Financing decisions are important but this is a separate question from deciding if an investment increases shareholder value or not Thus Financing costs are not a relevant cash flow in

analyzing an investment project

9-35

Relevant

bullOpportunity costsbullSide effectserosionbullNet working capitalbullTax effectsbullAfter-tax salvage value

Not Relevant

bull ldquoSunkrdquo costsbullFinancing costs

9-36

Which one of the following principles refers to the assumption that a project will be evaluated based on its incremental cash flows

A Forecast assumption principleB Base assumption principleC Fallacy principleD Erosion principle E Stand-alone principle

9-37

A cost that should be ignored when evaluating a project because that cost has already been incurred and cannot be recouped is referred to as a(n)

A Fixed costB Forgotten costC Variable costD Opportunity costE Sunk cost

9-38

Lake City Plastics currently produces plastic plates and silverware The company is considering expanding its product offerings to include plastic serving trays All of the following are relevant costs to this project with the exception of

A The cost of additional utilities required to operate the serving tray production operation

B Any change in the expected sales of plates and silverware gained from offering trays also

C A percentage of the current operating overhead

D The additional plastic raw materials that would be required

E The cost to acquire the forms needed to mold the trays

9-39

Which one of the following terms is most commonly used to describe the cash flows of a new project that are simply an offset of reduced cash flows for a current project

A Opportunity costB Sunk costC ErosionD Replicated flowsE Pirated flows

9-40

Pro Forma Financial

Statements and Cash Flows

9-41

The process to evaluate a proposed investment is as follows

9-42

Pro Forma Financial

Statements

Projected Cash Flows

Estimate Project Value

bull Assumptions are gathered and these serve as the basis for the pro forma financial statements

bull Incremental cash flows need to be determined Cash flow from

assets

bull Project value is determined NPV IRR PI Payback

Financial statements projecting future yearsrsquo operations Pro forma income

statement Pro forma balance sheet

Summarizes all relevant information for a project

9-43

Pro Forma Financial

Statements

Underwater Adventures Inc specializes in selling unique underwater experiences for scuba divers and snorkelers They have developed a ldquoshark attractantrdquo product to meet

this demand of customers who want to get close to sharks for better photos to post on social media

We have been asked to evaluate whether launching this product is a good idea

9-44

Estimated sales 50000 cans Sales Price per can $400 Cost per can $250 Estimated life 3 years Fixed costs $12000year Initial equipment cost $90000

100 depreciated over 3 year life Investment in NWC $20000 Tax rate 34 Cost of capital 20

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-45

9-46Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Sales (50000 units at $400unit) $200000Variable Costs ($250unit) ($125000)Gross Profit $75000Fixed Costs ($12000)Depreciation ($90000 3) ($30000)EBIT $33000Taxes (34) ($11200)

Net Income $21780

The pro forma income statement currently does not have any interest expense

Should interest expense be includedA YesB No

9-47

No interest expense is a financing expense and not a component of operating cash flow

We need to understand the cash flow impacts that result from changes in the balance sheet Investments in working capital (eg higher

inventory and accounts receivable) Investments in fixed assets (ie capital

requirements of the project) We donrsquot care about the financing aspects

of the balance sheet For the same reason we didnrsquot consider interest

expense in the pro forma income statement9-48

Estimated sales 50000 cans Sales Price per can $400 Cost per can $250 Estimated life 3 years Fixed costs $12000year Initial equipment cost $90000

100 depreciated over 3 year life Investment in NWC $20000 Tax rate 34 Cost of capital 20

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-49

9-50Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Year0 1 2 3

Net Working Capital

$20000 $20000 $20000 $20000

Net Fixed Assets

90000 60000 30000 0

Total Investment

$110000 $80000 $50000 $20000

Net Fixed Assets declines by the amount of depreciation each year

The process to evaluate a proposed investment is as follows

9-51

Pro Forma Financial

Statements

Projected Cash Flows

Estimate Project Value

9-52

Net Income Depreciation= +

Earnings Before Interest amp Taxes Depreciation Taxes= + -

Operating Cash Flow

Operating Cash Flow= minus

Net Capital

Spending

Changes in Net

Working Capital

Cash Flow from

Assetsminus

+ Interest

Will be 0 since interest is not a

relevant cash flow

9-53

Sales (50000 units at $400unit)

$200000

Variable Costs ($250unit) (125000)

Gross profit $ 75000

Fixed costs (12000)

Depreciation ($90000 3) (30000)

EBIT $ 33000

Taxes (34) (11220)

Net Income $ 21780=======

What is the operating cash flow

A $21750B $33000C $63000D $51780E $63780

9-54

Net Income Depreciation= + If no interest expense

Earnings Before Interest amp Taxes Depreciation Taxes= + -

Operating Cash Flow

$21780 $30000= +If no interest

expense

$33000 $30000 $11220= + -Operating Cash Flow

= $51780

9-55

Year

0 1 2 3

OCF $51780 $51780 $51780

NWC -$20000 20000

Capital Spending

-$90000

CFFA -$110000 $51780 $51780 $71780

Note Investment in NWC is recovered in final yearEquipment cost is a cash outflow in year 0

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

9-56Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Year 0 1 2 3Sales 200000 200000 200000Variable Costs 125000 125000 125000Gross Profit 75000 75000 75000Fixed Costs 12000 12000 12000Depreciation 30000 30000 30000EBIT 33000 33000 33000Taxes 11220 11220 11220Net Income 21780 21780 21780

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Pro Forma Income Statement

Cash Flows

The process to evaluate a proposed investment is as follows

9-57

Pro Forma Financial

Statements

Projected Cash Flows

Estimate Project Value

9-58

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Net Present Value $1064769IRR 2576

Cash Flows

We can estimate the project value by calculation the NPV and IRR

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

9-59

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Net Present Value $1064769IRR 2576

Cash Flows

Should we accept or reject the project

Acceptbull The NPV is gt 0bull The IRR is greater than the

required rate of return of 20

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

9-60

Year 0 1 2 3Sales 200000 200000 200000Variable Costs 125000 125000 125000Gross Profit 75000 75000 75000Fixed Costs 12000 12000 12000Depreciation 30000 30000 30000EBIT 33000 33000 33000Taxes 11220 11220 11220Net Income 21780 21780 21780

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Net Present Value $1064769IRR 2576

Pro Forma Income Statement

Cash Flows

OCF = EBIT + Depreciation ndash TaxesOCF = Net Income + Depreciation (if no interest)

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

A new project is expected to generate an operating cash flow of $38728 and will initially free up $11610 in net working capital Purchases of fixed assets costing $52800 will be required to start up the project What is the total cash flow for this project at time zero

A -$64410

B -$41190

C -$52800

D $25682

E $50338

9-61

The pro forma income statement for a proposed investment should include all of the following except

A Fixed costsB Forecasted salesC Depreciation expenseD TaxesE Changes in net working capital

9-62

9-63

Sales (50000 units at $400unit)

$200000

Variable Costs ($250unit) (125000)

Gross profit $ 75000

Fixed costs (12000)

Depreciation ($90000 3) (30000)

EBIT $ 33000

Taxes (34) (11220)

Net Income $ 21780=======

What is the operating cash flow (using the approaches already learned)

A $21750B $33000C $63000D $51780E $63780

9-64

Net Income Depreciation= + If no interest expense

Earnings Before Interest amp Taxes Depreciation Taxes= + -

Operating Cash Flow

$21780 $30000= +If no interest

expense

$33000 $30000 $11220= + -Operating Cash Flow

= $51780

Option 1

Option 2

The tax savings that results from the depreciation deduction

Calculated as depreciation multiplied by the corporate tax rate

9-65

Depreciation Tax Shield

9-66

(Sales ndash Costs) (1 ndash Tax Rate) = +Operating

Cash FlowDepreciation Tax Rate

Option 3

9-67

Sales (50000 units at $400unit)

$200000

Variable Costs ($250unit) (125000)

Gross profit $ 75000

Fixed costs (12000)

Depreciation ($90000 3) (30000)

EBIT $ 33000

Taxes (34) (11220)

Net Income $ 21780=======

What is the operating cash flow using the tax shield approach

9-68

($200000 -$137000) 66

+ $30000 34

= $51780

=

(Sales ndash Costs) (1 ndash Tax Rate) = +Operating

Cash FlowDepreciation Tax Rate

Which one of the following is the formula for computing operating cash flow

A Net Income + Depreciation + InterestB Net Income + Depreciation - InterestC EBIT + Depreciation - TaxesD (Sales ndash Costs) (1-Tax Rate) + (Depreciation Tax Rate)E A C and D

9-69

Evaluating NPV

Estimates

9-70

Calculating NPV is just an estimate based on the best information available The calculations could be wrong The confidence level in the analysis is a

judgment call A positive NPV suggests the project may be

worth doing But more analysis normally would be required

It is important to understand what the NPV looks like when things donrsquot go as planned

9-71

9-72

If NPV gt 0 Accept the project

Maybe accept the

project

Why maybe

9-73

What drives the NPV result

Projected future cash

flow

How do you know your projected estimates are

accurate

9-74

Forecasting Risk

We need to develop some tools to understand where potential estimate errors may exist

The possibility that errors (or poor estimates) in projected cash flows will lead to incorrect decisions

Also called ldquoestimation riskrdquo

The following tools will help assess the reasonableness of the NPV analysis

9-75

What-If Analysis

Scenario analysis Sensitivity analysis

Understand sources of value

Articulate what drives the investment to deliver a positive NPV

A positive NPV is creating value for the shareholders

We should understand what is the source of this value

9-76

Project Idea Potential Questions to Answer

New Product bull Is this new product better than the competitionbull Does this new product meet an unmet consumer need

Marketing Campaign

bull Is it reasonable that this marketing effort can increase sales as estimated

CompanyAcquisition

bull Are there sufficient synergies that can be realized to justify the purchase price

Cost Improvements

bull How realistic is it that the expected cost savings will truly materialize in the time frame noted (without unexpected negative impacts)

9-77

Scenario Analysis

The determination of what happens to NPV estimates when we ask what-if questions

Sensitivity Analysis

Investigation of what happens to NPV estimates when only one variable is changed

Scenario and Sensitivity Analysis

9-78

Examines several possible situations Worst case Base case or most likely case Best case

Provides a range of possible outcomes

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-79

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Base Lower UpperUnits 6000 5500 6500 Priceunit 8000$ 7500$ 8500$ Variable costunit 6000$ 5800$ 6200$ Fixed costyear 50000$ 45000$ 55000$

BASE BEST WORST

Initial investment 200000$ Depreciated to salvage value of 0 over 5 yearsDeprecyr 40000$

Project Life 5 yearsTax rate 34Required return 12

Note ldquoLowerrdquo ne WorstldquoUpperrdquo ne Best

9-80

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

BASE WORST BESTUnits 6000 5500 6500 Priceunit 8000$ 7500$ 8500$ Variable costunit 6000$ 6200$ 5800$ Fixed Cost 50000$ 55000$ 45000$

Sales 480000$ 412500$ 552500$ Variable Cost 360000 341000 377000Fixed Cost 50000 55000 45000Depreciation 40000 40000 40000EBIT 30000 (23500) 90500Taxes 10200 (7990) 30770Net Income 19800 (15510) 59730 + Deprec 40000 40000 40000

TOTAL CF 59800 24490 99730

NPV 15566 (111719) 159504

IRR 151 -144 409

9-81

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

Considers only a few possible outcomes

Assumes perfectly correlated inputs All ldquobadrdquo values occur together and

all ldquogoodrdquo values occur together More likely to have some ldquobadrdquo values

and some ldquogoodrdquo values

9-82

Shows how changes in an input variable affect NPV or IRR

Each variable is fixed except one Change one variable to see the effect

on NPV or IRR Answers ldquowhat ifrdquo questions

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-83

Unit Sales Sensitivity

$(8226)

$15566

$39357

-2000000

-1000000

000

1000000

2000000

3000000

4000000

5000000

5500 6000 6500

Unit Sales

NPV

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-84

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Sensitivity (2)

GRAPH

GRAPH

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Pro Forma

Chart3

Y
Unit Sales
NPV
Unit Sales Sensitivity
-82259060352458
155656169002312
393571398357083

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Sensitivity

Y
Unit Sales
NPV
Unit Sales Sensitivity

Sensitivity (2)

GRAPH

GRAPH

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Pro Forma

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Base Fixed Cost Fixed CostUnits 6000 6000 6000 Priceunit 80$ 80 80Variable costunit 60$ 60 60Fixed costyear 50000$ 55000 45000

Initial investment 200000$ Depreciated to salvage value of 0 over 5 yearsDeprecyr 40000$

Tax rate 34Required Return 12

BASE FC FCUnits 6000 6000 6000 Priceunit 80$ 80$ 80$ Variable costunit 60$ 60$ 60$ Fixed cost 50000$ 55000$ 45000$

Sales 480000$ 480000$ 480000$ Variable Cost 360000 360000 360000 Fixed Cost 50000 55000 45000 Depreciation 40000 40000 40000 EBIT 30000 25000 35000 Taxes 10200 8500 11900 Net Income 19800 16500 23100 + Deprec 40000 40000 40000

TOTAL CF 59800 56500 63100

NPV 15566$ 3670$ 27461$

Fixed Cost Sensitivity

$27461

$15566

$3670

000

500000

1000000

1500000

2000000

2500000

3000000

$45000 $50000 $55000Fixed Cost

NPV

9-85

SHARK

DEPRC

MMCC

Scenario

Sensitivity_A

Sensitivity_A

Y
Unit Sales
NPV
Unit Sales Sensitivity

Sensitivity (2)

Y
Fixed Cost
NPV
Fixed Cost Sensitivity

GRAPH

Pro Forma

Pro Forma

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Chart4

Y
Fixed Cost
NPV
Fixed Cost Sensitivity
274613783679698
155656169002312
36698554324927

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Sensitivity

Y
Unit Sales
NPV
Unit Sales Sensitivity

Sensitivity (2)

Y
Fixed Cost
NPV
Fixed Cost Sensitivity

GRAPH

Pro Forma

Pro Forma

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Strengths Identifies dangerous variables Gives some breakeven information

Weaknesses Says nothing about the likelihood of

change in a variable Ignores relationships among

variables

9-86

Neither provides a decision rule No indication whether a projectrsquos

expected return is sufficient to compensate for its risk

Ignores diversification Measures only stand-alone risk which

may not be the most relevant risk in capital budgeting

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-87

Scenario analysis is best described as the determination of the

A Most likely outcome for a projectB Reasonable range of project outcomesC Variable that has the greatest effect on a projectrsquos

outcomeD Effect that a projectrsquos initial cost has on the projectrsquos net

present valueE Change in a projectrsquos net present value given a stated

change in projected sales

9-88

  • FINC311 Principles of Finance
  • Corporate Finance Overview
  • Building Blocks for Decisions
  • Introduction Example
  • Introduction
  • Chapter Objectives
  • Slide Number 7
  • Cash Flow Introduction
  • Relevant Cash Flows
  • Relevant Cash Flows
  • Relevant Cash Flows - Watchouts
  • Opportunity Cost
  • Opportunity Cost Example
  • Opportunity Cost Example
  • Opportunity Cost Example
  • Side Effects
  • Side Effects Erosion
  • Erosion Example
  • Question ndash Side Effects
  • Net Working Capital
  • Changes in Net Working Capital
  • Changes in Net Working Capital
  • Tax Effects
  • After-Tax Salvage Value
  • After-Tax Salvage
  • Computing Depreciation
  • Question
  • Question
  • Question
  • Tax Effect on Salvage
  • Example
  • Salvage Value amp Tax Effects
  • Sunk Cost
  • Sunk Cost Example
  • Financing Costs
  • Relevant Cash Flows - Watchouts
  • Question
  • Question
  • Question
  • Question
  • Slide Number 41
  • Evaluating a Proposed Investment
  • Pro Forma Financial Statements
  • Shark Attractant Project
  • Shark Attractant Project- Assumptions
  • Pro Forma Income Statement
  • Where is the Interest Expense
  • Pro Forma Balance Sheet
  • Shark Attractant Project- Assumptions
  • Projected Capital Requirements
  • Evaluating a Proposed Investment
  • Cash Flow - Definitions
  • Pro Forma Income Statement
  • Operating Cash Flow
  • Projected Total Cash Flows
  • Shark Attractant Project ndash Cash Flows
  • Evaluating a Proposed Investment
  • Estimate Project Value
  • Making the Decision
  • Shark Attractant Project
  • Question
  • Question
  • Pro Forma Income Statement
  • Operating Cash Flow
  • Depreciation Tax Shield
  • The Tax Shield Approach to OCF
  • Pro Forma Income Statement
  • The Tax Shield Approach to OCF
  • Question
  • Slide Number 70
  • Intro to Evaluating NPV
  • NPV Decision Rule
  • Risk with NPV Analysis
  • NPV ndash Forecasting Risk
  • Tools to Evaluate NPV Analysis
  • Understanding Sources of Value
  • Scenario and Sensitivity Analysis
  • Slide Number 78
  • Scenario Analysis
  • Scenario Analysis Example
  • Scenario Analysis Example
  • Problems with Scenario Analysis
  • Sensitivity Analysis
  • Sensitivity Analysis Unit Sales
  • Sensitivity Analysis Fixed Costs
  • Sensitivity Analysis
  • Disadvantages of Sensitivity and Scenario Analysis
  • Question
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
-30 -20 -10 0 10 20 30
UNITS -70083865667486 -415340381449136 -129842106223412 155656169002312 441154444228038 726652719453761 101215099467949
FC 512529013034468 393571398357083 274613783679698 155656169002312 36698554324927 -82259060352458 -201216675029843
Sensitivity Analysis
-30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30
Base Units Units Units Units Units Units Units Base Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 80 80 80 80 80 80 80 Priceunit $ 80 80 80 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 60 60 60 Variable costunit $ 60 60 60 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 50000 50000 50000 50000 50000 Fixed costyear $ 50000 35000 40000 45000 50000 55000 60000 65000
Initial investment $ 200000 Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000 Deprecyr $ 40000
Tax rate 34 Tax rate 34
Required Return 12 Required Return 12
BASE UNITS UNITS UNITS UNITS UNITS UNITS UNITS BASE FC FC FC FC FC FC FC
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 Fixed cost $ 50000 $ 35000 $ 40000 $ 45000 $ 50000 $ 55000 $ 60000 $ 65000
Sales $ 480000 $ 336000 $ 384000 $ 432000 $ 480000 $ 528000 $ 576000 $ 624000 Sales $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000
Variable Cost 360000 252000 288000 324000 360000 396000 432000 468000 Variable Cost 360000 360000 360000 360000 360000 360000 360000 360000
Fixed Cost 50000 50000 50000 50000 50000 50000 50000 50000 Fixed Cost 50000 35000 40000 45000 50000 55000 60000 65000
Depreciation 40000 40000 40000 40000 40000 40000 40000 40000 Depreciation 40000 40000 40000 40000 40000 40000 40000 40000
EBIT 30000 (6000) 6000 18000 30000 42000 54000 66000 EBIT 30000 45000 40000 35000 30000 25000 20000 15000
Taxes 10200 (2040) 2040 6120 10200 14280 18360 22440 Taxes 10200 15300 13600 11900 10200 8500 6800 5100
Net Income 19800 (3960) 3960 11880 19800 27720 35640 43560 Net Income 19800 29700 26400 23100 19800 16500 13200 9900
+ Deprec 40000 40000 40000 40000 40000 40000 40000 40000 + Deprec 40000 40000 40000 40000 40000 40000 40000 40000
TOTAL CF 59800 36040 43960 51880 59800 67720 75640 83560 TOTAL CF 59800 69700 66400 63100 59800 56500 53200 49900
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Change in NPV -5502 -3668 -1834 00 1834 3668 5502 Change in NPV 2293 1528 764 00 -764 -1528 -2293
Change in Variable -300 -200 -100 00 100 200 300 Change in Variable -300 -200 -100 00 100 200 300
SENSITIVITY RATIO 1834 1834 1834 000 1834 1834 1834 SENSITIVITY RATIO -764 -764 -764 000 -764 -764 -764
INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship Sensitivity Ratio = ( Change in NPV) Change in Variable
Negative = Inverse relationship Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 69700 66400 63100 59800 56500 53200 49900
PV $ 215566 $ 129916 $ 158466 $ 187016 $ 215566 $ 244115 $ 272665 $ 301215
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 PV $ 215566 $ 251253 $ 239357 $ 227461 $ 215566 $ 203670 $ 191774 $ 179878
NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Sensitivity Analysis
Base Units Units Fixed Cost Fixed Cost
Units 6000 5500 6500 6000 6000
Priceunit $ 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 UNITS
Fixed costyear $ 50000 50000 50000 55000 45000 X 5500 6000 6500
Y $ (8226) $ 15566 $ 39357
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS UNITS FC FC
Units 6000 5500 6500 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 440000 $ 520000 $ 480000 $ 480000
Variable Cost 360000 330000 390000 360000 360000
Fixed Cost 50000 50000 50000 55000 45000
Depreciation 40000 40000 40000 40000 40000
EBIT 30000 20000 40000 25000 35000
Taxes 10200 6800 13600 8500 11900
Net Income 19800 13200 26400 16500 23100
+ Deprec 40000 40000 40000 40000 40000
TOTAL CF 59800 53200 66400 56500 63100
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
FC
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) X $ 45000 $ 50000 $ 55000
59800 53200 66400 56500 63100 Y $ 27461 $ 15566 $ 3670
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
PV $ 215566 $ 191774 $ 239357 $ 203670 $ 227461
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
45000
50000
55000
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
-30 -20 -10 0 10 20 30
UNITS -70083865667486 -415340381449136 -129842106223412 155656169002312 441154444228038 726652719453761 101215099467949
FC 512529013034468 393571398357083 274613783679698 155656169002312 36698554324927 -82259060352458 -201216675029843
Sensitivity Analysis
-30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30
Base Units Units Units Units Units Units Units Base Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 80 80 80 80 80 80 80 Priceunit $ 80 80 80 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 60 60 60 Variable costunit $ 60 60 60 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 50000 50000 50000 50000 50000 Fixed costyear $ 50000 35000 40000 45000 50000 55000 60000 65000
Initial investment $ 200000 Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000 Deprecyr $ 40000
Tax rate 34 Tax rate 34
Required Return 12 Required Return 12
BASE UNITS UNITS UNITS UNITS UNITS UNITS UNITS BASE FC FC FC FC FC FC FC
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 Fixed cost $ 50000 $ 35000 $ 40000 $ 45000 $ 50000 $ 55000 $ 60000 $ 65000
Sales $ 480000 $ 336000 $ 384000 $ 432000 $ 480000 $ 528000 $ 576000 $ 624000 Sales $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000
Variable Cost 360000 252000 288000 324000 360000 396000 432000 468000 Variable Cost 360000 360000 360000 360000 360000 360000 360000 360000
Fixed Cost 50000 50000 50000 50000 50000 50000 50000 50000 Fixed Cost 50000 35000 40000 45000 50000 55000 60000 65000
Depreciation 40000 40000 40000 40000 40000 40000 40000 40000 Depreciation 40000 40000 40000 40000 40000 40000 40000 40000
EBIT 30000 (6000) 6000 18000 30000 42000 54000 66000 EBIT 30000 45000 40000 35000 30000 25000 20000 15000
Taxes 10200 (2040) 2040 6120 10200 14280 18360 22440 Taxes 10200 15300 13600 11900 10200 8500 6800 5100
Net Income 19800 (3960) 3960 11880 19800 27720 35640 43560 Net Income 19800 29700 26400 23100 19800 16500 13200 9900
+ Deprec 40000 40000 40000 40000 40000 40000 40000 40000 + Deprec 40000 40000 40000 40000 40000 40000 40000 40000
TOTAL CF 59800 36040 43960 51880 59800 67720 75640 83560 TOTAL CF 59800 69700 66400 63100 59800 56500 53200 49900
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Change in NPV -5502 -3668 -1834 00 1834 3668 5502 Change in NPV 2293 1528 764 00 -764 -1528 -2293
Change in Variable -300 -200 -100 00 100 200 300 Change in Variable -300 -200 -100 00 100 200 300
SENSITIVITY RATIO 1834 1834 1834 000 1834 1834 1834 SENSITIVITY RATIO -764 -764 -764 000 -764 -764 -764
INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship Sensitivity Ratio = ( Change in NPV) Change in Variable
Negative = Inverse relationship Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 69700 66400 63100 59800 56500 53200 49900
PV $ 215566 $ 129916 $ 158466 $ 187016 $ 215566 $ 244115 $ 272665 $ 301215
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 PV $ 215566 $ 251253 $ 239357 $ 227461 $ 215566 $ 203670 $ 191774 $ 179878
NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Sensitivity Analysis
Base Units Units Fixed Cost Fixed Cost
Units 6000 5500 6500 6000 6000
Priceunit $ 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 UNITS
Fixed costyear $ 50000 50000 50000 55000 45000 X 5500 6000 6500
Y $ (8226) $ 15566 $ 39357
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS UNITS FC FC
Units 6000 5500 6500 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 440000 $ 520000 $ 480000 $ 480000
Variable Cost 360000 330000 390000 360000 360000
Fixed Cost 50000 50000 50000 55000 45000
Depreciation 40000 40000 40000 40000 40000
EBIT 30000 20000 40000 25000 35000
Taxes 10200 6800 13600 8500 11900
Net Income 19800 13200 26400 16500 23100
+ Deprec 40000 40000 40000 40000 40000
TOTAL CF 59800 53200 66400 56500 63100
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
FC
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) X $ 45000 $ 50000 $ 55000
59800 53200 66400 56500 63100 Y $ 27461 $ 15566 $ 3670
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
PV $ 215566 $ 191774 $ 239357 $ 203670 $ 227461
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
-30 -20 -10 0 10 20 30
UNITS -70083865667486 -415340381449136 -129842106223412 155656169002312 441154444228038 726652719453761 101215099467949
FC 512529013034468 393571398357083 274613783679698 155656169002312 36698554324927 -82259060352458 -201216675029843
Sensitivity Analysis
-30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30
Base Units Units Units Units Units Units Units Base Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 80 80 80 80 80 80 80 Priceunit $ 80 80 80 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 60 60 60 Variable costunit $ 60 60 60 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 50000 50000 50000 50000 50000 Fixed costyear $ 50000 35000 40000 45000 50000 55000 60000 65000
Initial investment $ 200000 Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000 Deprecyr $ 40000
Tax rate 34 Tax rate 34
Required Return 12 Required Return 12
BASE UNITS UNITS UNITS UNITS UNITS UNITS UNITS BASE FC FC FC FC FC FC FC
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 Fixed cost $ 50000 $ 35000 $ 40000 $ 45000 $ 50000 $ 55000 $ 60000 $ 65000
Sales $ 480000 $ 336000 $ 384000 $ 432000 $ 480000 $ 528000 $ 576000 $ 624000 Sales $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000
Variable Cost 360000 252000 288000 324000 360000 396000 432000 468000 Variable Cost 360000 360000 360000 360000 360000 360000 360000 360000
Fixed Cost 50000 50000 50000 50000 50000 50000 50000 50000 Fixed Cost 50000 35000 40000 45000 50000 55000 60000 65000
Depreciation 40000 40000 40000 40000 40000 40000 40000 40000 Depreciation 40000 40000 40000 40000 40000 40000 40000 40000
EBIT 30000 (6000) 6000 18000 30000 42000 54000 66000 EBIT 30000 45000 40000 35000 30000 25000 20000 15000
Taxes 10200 (2040) 2040 6120 10200 14280 18360 22440 Taxes 10200 15300 13600 11900 10200 8500 6800 5100
Net Income 19800 (3960) 3960 11880 19800 27720 35640 43560 Net Income 19800 29700 26400 23100 19800 16500 13200 9900
+ Deprec 40000 40000 40000 40000 40000 40000 40000 40000 + Deprec 40000 40000 40000 40000 40000 40000 40000 40000
TOTAL CF 59800 36040 43960 51880 59800 67720 75640 83560 TOTAL CF 59800 69700 66400 63100 59800 56500 53200 49900
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Change in NPV -5502 -3668 -1834 00 1834 3668 5502 Change in NPV 2293 1528 764 00 -764 -1528 -2293
Change in Variable -300 -200 -100 00 100 200 300 Change in Variable -300 -200 -100 00 100 200 300
SENSITIVITY RATIO 1834 1834 1834 000 1834 1834 1834 SENSITIVITY RATIO -764 -764 -764 000 -764 -764 -764
INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship Sensitivity Ratio = ( Change in NPV) Change in Variable
Negative = Inverse relationship Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 69700 66400 63100 59800 56500 53200 49900
PV $ 215566 $ 129916 $ 158466 $ 187016 $ 215566 $ 244115 $ 272665 $ 301215
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 PV $ 215566 $ 251253 $ 239357 $ 227461 $ 215566 $ 203670 $ 191774 $ 179878
NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Sensitivity Analysis
Base Units Units Fixed Cost Fixed Cost
Units 6000 5500 6500 6000 6000
Priceunit $ 80 80 80 80 80
Variable costunit $ 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 55000 45000 X 5500 6000 6500
Y $ (8226) $ 15566 $ 39357
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS UNITS FC FC
Units 6000 5500 6500 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 440000 $ 520000 $ 480000 $ 480000
Variable Cost 360000 330000 390000 360000 360000
Fixed Cost 50000 50000 50000 55000 45000
Depreciation 40000 40000 40000 40000 40000
EBIT 30000 20000 40000 25000 35000
Taxes 10200 6800 13600 8500 11900
Net Income 19800 13200 26400 16500 23100
+ Deprec 40000 40000 40000 40000 40000
TOTAL CF 59800 53200 66400 56500 63100
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
PV $ 215566 $ 191774 $ 239357 $ 203670 $ 227461
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
5500
6000
6500
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
-30 -20 -10 0 10 20 30
UNITS -70083865667486 -415340381449136 -129842106223412 155656169002312 441154444228038 726652719453761 101215099467949
FC 512529013034468 393571398357083 274613783679698 155656169002312 36698554324927 -82259060352458 -201216675029843
Sensitivity Analysis
-30 -20 -10 0 10 20 30 -30 -20 -10 0 10 20 30
Base Units Units Units Units Units Units Units Base Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost Fixed Cost
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 80 80 80 80 80 80 80 Priceunit $ 80 80 80 80 80 80 80 80
Variable costunit $ 60 60 60 60 60 60 60 60 Variable costunit $ 60 60 60 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 50000 50000 50000 50000 50000 Fixed costyear $ 50000 35000 40000 45000 50000 55000 60000 65000
Initial investment $ 200000 Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000 Deprecyr $ 40000
Tax rate 34 Tax rate 34
Required Return 12 Required Return 12
BASE UNITS UNITS UNITS UNITS UNITS UNITS UNITS BASE FC FC FC FC FC FC FC
Units 6000 4200 4800 5400 6000 6600 7200 7800 Units 6000 6000 6000 6000 6000 6000 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 Priceunit $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 $ 50000 Fixed cost $ 50000 $ 35000 $ 40000 $ 45000 $ 50000 $ 55000 $ 60000 $ 65000
Sales $ 480000 $ 336000 $ 384000 $ 432000 $ 480000 $ 528000 $ 576000 $ 624000 Sales $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000 $ 480000
Variable Cost 360000 252000 288000 324000 360000 396000 432000 468000 Variable Cost 360000 360000 360000 360000 360000 360000 360000 360000
Fixed Cost 50000 50000 50000 50000 50000 50000 50000 50000 Fixed Cost 50000 35000 40000 45000 50000 55000 60000 65000
Depreciation 40000 40000 40000 40000 40000 40000 40000 40000 Depreciation 40000 40000 40000 40000 40000 40000 40000 40000
EBIT 30000 (6000) 6000 18000 30000 42000 54000 66000 EBIT 30000 45000 40000 35000 30000 25000 20000 15000
Taxes 10200 (2040) 2040 6120 10200 14280 18360 22440 Taxes 10200 15300 13600 11900 10200 8500 6800 5100
Net Income 19800 (3960) 3960 11880 19800 27720 35640 43560 Net Income 19800 29700 26400 23100 19800 16500 13200 9900
+ Deprec 40000 40000 40000 40000 40000 40000 40000 40000 + Deprec 40000 40000 40000 40000 40000 40000 40000 40000
TOTAL CF 59800 36040 43960 51880 59800 67720 75640 83560 TOTAL CF 59800 69700 66400 63100 59800 56500 53200 49900
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Change in NPV -5502 -3668 -1834 00 1834 3668 5502 Change in NPV 2293 1528 764 00 -764 -1528 -2293
Change in Variable -300 -200 -100 00 100 200 300 Change in Variable -300 -200 -100 00 100 200 300
SENSITIVITY RATIO 1834 1834 1834 000 1834 1834 1834 SENSITIVITY RATIO -764 -764 -764 000 -764 -764 -764
INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship Sensitivity Ratio = ( Change in NPV) Change in Variable
Negative = Inverse relationship Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 36040 43960 51880 59800 67720 75640 83560 59800 69700 66400 63100 59800 56500 53200 49900
59800 69700 66400 63100 59800 56500 53200 49900
PV $ 215566 $ 129916 $ 158466 $ 187016 $ 215566 $ 244115 $ 272665 $ 301215
NPV $ 15566 $ (70084) $ (41534) $ (12984) $ 15566 $ 44115 $ 72665 $ 101215 PV $ 215566 $ 251253 $ 239357 $ 227461 $ 215566 $ 203670 $ 191774 $ 179878
NPV $ 15566 $ 51253 $ 39357 $ 27461 $ 15566 $ 3670 $ (8226) $ (20122)
Sensitivity Analysis
Base Units Units Fixed Cost Fixed Cost
Units 6000 5500 6500 6000 6000
Priceunit $ 80 80 80 80 80
Variable costunit $ 60 60 60 60 60
Fixed costyear $ 50000 50000 50000 55000 45000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS UNITS FC FC
Units 6000 5500 6500 6000 6000
Priceunit $ 80 $ 80 $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 440000 $ 520000 $ 480000 $ 480000
Variable Cost 360000 330000 390000 360000 360000
Fixed Cost 50000 50000 50000 55000 45000
Depreciation 40000 40000 40000 40000 40000
EBIT 30000 20000 40000 25000 35000
Taxes 10200 6800 13600 8500 11900
Net Income 19800 13200 26400 16500 23100
+ Deprec 40000 40000 40000 40000 40000
TOTAL CF 59800 53200 66400 56500 63100
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
$ (200000) $ (200000) $ (200000) $ (200000) $ (200000)
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
59800 53200 66400 56500 63100
PV $ 215566 $ 191774 $ 239357 $ 203670 $ 227461
NPV $ 15566 $ (8226) $ 39357 $ 3670 $ 27461
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 892 893 893 446
Recovery Allowance 114320 195920 139920 99920 71360 71440 71440 35680
Book Value 685680 489760 349840 249920 178560 107120 35680 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71360 71440 71440 35680
EBT 40680 79080 195080 200080 203640 153560 103560 89320
Taxes 13831 26887 66327 68027 69238 52210 35210 30369
Net Operating Income 26849 52193 128753 132053 134402 101350 68350 58951
Add back Depreciation 114320 195920 139920 99920 71360 71440 71440 35680
CASH FLOW from Operations 141169 248113 268673 231973 205762 172790 139790 94631
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214012 189290 156290 266231
Discounted Cash Flows (820000) 93190 160388 164821 133060 106402 81835 58755 87031
Cumulative Cash flows (820000) (712831) (500718) (250046) (17323) 196690 385979 542269 808500
NPV $65483
IRR 1724
Payback 408
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 893 893 893 445
Recovery Allowance 114320 195920 139920 99920 71440 71440 71440 35600
Book Value 685680 489760 349840 249920 178480 107040 35600 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71440 71440 71440 35600
EBT 40680 79080 195080 200080 203560 153560 103560 89400
Taxes 13831 26887 66327 68027 69210 52210 35210 30396
Net Operating Income 26849 52193 128753 132053 134350 101350 68350 59004
Add back Depreciation 114320 195920 139920 99920 71440 71440 71440 35600
CASH FLOW from Operations 141169 248113 268673 231973 205790 172790 139790 94604
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214040 189290 156290 266204
Discounted Cash Flows (820000) 93190 160388 164821 133060 106416 81835 58755 87023
NPV $ 65488
IRR 1724
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 893 893 893 445
Recovery Allowance 114320 195920 139920 99920 71440 71440 71440 35600
Book Value 685680 489760 349840 249920 178480 107040 35600 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71440 71440 71440 35600
EBT 40680 79080 195080 200080 203560 153560 103560 89400
Taxes 13831 26887 66327 68027 69210 52210 35210 30396
Net Operating Income 26849 52193 128753 132053 134350 101350 68350 59004
Add back Depreciation 114320 195920 139920 99920 71440 71440 71440 35600
CASH FLOW from Operations 141169 248113 268673 231973 205790 172790 139790 94604
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214040 189290 156290 266204
Discounted Cash Flows (820000) 93190 160388 164821 133060 106416 81835 58755 87023
NPV $ 65488
IRR 1724
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Pro Forma Income Statements
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC (20000) 20000
Net Capital Spending (90000)
Cash Flow From Assets (110000) 51780 51780 71780
Net Present Value $1064769
IRR 2576
Sensitivity Analysis
Base Units Fixed Cost
Units 6000 5500 6000
Priceunit $ 80 80 80
Variable costunit $ 60 60 60
Fixed costyear $ 50000 50000 55000
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Tax rate 34
Required Return 12
BASE UNITS FC
Units 6000 5500 6000
Priceunit $ 80 $ 80 $ 80
Variable costunit $ 60 $ 60 $ 60
Fixed cost $ 50000 $ 50000 $ 55000
Sales $ 480000 $ 440000 $ 480000
Variable Cost 360000 330000 360000
Fixed Cost 50000 50000 55000
Depreciation 40000 40000 40000
EBIT 30000 20000 25000
Taxes 10200 6800 8500
Net Income 19800 13200 16500
+ Deprec 40000 40000 40000
TOTAL CF 59800 53200 56500
NPV $ 15566 $ (8226) $ 3670
Change in NPV -1528 -764
Change in Variable -83 100
SENSITIVITY RATIO 1834 -764
DIRECT INVERSE
Sensitivity Ratio = ( Change in NPV) Change in Variable
Positive = Direct relationship
Negative = Inverse relationship
$ (200000) $ (200000) $ (200000)
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
59800 53200 56500
PV $ 215566 $ 191774 $ 203670
NPV $ 15566 $ (8226) $ 3670
Scenario Analysis
Base Lower Upper
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 5800 $ 6200
Fixed costyear $ 50000 $ 45000 $ 55000
BASE BEST WORST
Initial investment $ 200000
Depreciated to salvage value of 0 over 5 years
Deprecyr $ 40000
Project Life 5 years
Tax rate 34
Required return 12
BASE WORST BEST
Units 6000 5500 6500
Priceunit $ 8000 $ 7500 $ 8500
Variable costunit $ 6000 $ 6200 $ 5800
Fixed Cost $ 50000 $ 55000 $ 45000
Sales $ 480000 $ 412500 $ 552500
Variable Cost 360000 341000 377000
Fixed Cost 50000 55000 45000
Depreciation 40000 40000 40000
EBIT 30000 (23500) 90500
Taxes 10200 (7990) 30770
Net Income 19800 (15510) 59730
+ Deprec 40000 40000 40000
TOTAL CF 59800 24490 99730
NPV 15566 (111719) 159504
IRR 151 -144 409
NOTE Note in WORST CASE tax credit for negative earnings
$ (200000) $ (200000) $ (200000)
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
59800 24490 99730
PV $215566 $88281 $359504
NPV 15566 (111719) 159504
Majestic Mulch and Compost Company (MMCC)
YEAR 0 1 2 3 4 5 6 7 8
Background Data
Unit Sales Estimates 3000 5000 6000 6500 6000 5000 4000 3000
Variable Cost unit $ 6000
Fixed Costs per year $ 2500000
Sale Price per unit $ 12000 $ 12000 $ 12000 $ 12000 $ 11000 $ 11000 $ 11000 $ 11000 $ 11000
Tax Rate 340
Required Return on Project 150
Yr 0 NWC $ 2000000
NWC of sales 15
Equipment cost - installed $ 800000
Salvage Value in year 8 20 of equipment cost
Depreciation Calculations
Equipment Depreciable Base 800000
MACRS (Eqpt-7 yr) 1429 2449 1749 1249 893 893 893 445
Recovery Allowance 114320 195920 139920 99920 71440 71440 71440 35600
Book Value 685680 489760 349840 249920 178480 107040 35600 0
After-Tax Salvage Value
Salvage Value 20 160000
Book Value (Year 8) 0
Capital GainLoss 160000
Taxes 54400
Net SV (SV-Taxes) 105600
Required Net Working Capital Investment
20000 54000 90000 108000 107250 99000 82500 66000 49500
YEAR 0 1 2 3 4 5 6 7 8
Initial Investment
Equipment Cost (800000)
Sales 360000 600000 720000 715000 660000 550000 440000 330000
Variable Costs 180000 300000 360000 390000 360000 300000 240000 180000
Fixed Costs 25000 25000 25000 25000 25000 25000 25000 25000
Depreciation (Eqpt)) 114320 195920 139920 99920 71440 71440 71440 35600
EBT 40680 79080 195080 200080 203560 153560 103560 89400
Taxes 13831 26887 66327 68027 69210 52210 35210 30396
Net Operating Income 26849 52193 128753 132053 134350 101350 68350 59004
Add back Depreciation 114320 195920 139920 99920 71440 71440 71440 35600
CASH FLOW from Operations 141169 248113 268673 231973 205790 172790 139790 94604
NWC investment amp Recovery (20000) (34000) (36000) (18000) 750 8250 16500 16500 66000
Salvage Value 105600
TOTAL PROJECTED CF (820000) 107169 212113 250673 232723 214040 189290 156290 266204
Discounted Cash Flows (820000) 93190 160388 164821 133060 106416 81835 58755 87023
NPV $ 65488
IRR 1724
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
EOY 5 $3000 $221501 $78499
EOY 2 $4000 $459840 ($59840)
Pro Forma Income Statement
Year 0 1 2 3
Sales 200000 200000 200000
Variable Costs 125000 125000 125000
Gross Profit 75000 75000 75000
Fixed Costs 12000 12000 12000
Depreciation 30000 30000 30000
EBIT 33000 33000 33000
Taxes 11220 11220 11220
Net Income 21780 21780 21780
Cash Flows
Operating Cash Flow 51780 51780 51780
Changes in NWC -20000 20000
Net Capital Spending -90000
Cash Flow From Assets -110000 51780 51780 71780
Net Present Value $1064769
IRR 2576
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000
Depreciation 5-year Asset
Year Beg BV Depr Deprec End BV
1 $ 1200000 2000 $ 240000 $ 960000
2 $ 960000 3200 $ 384000 $ 576000
3 $ 576000 1920 $ 230400 $ 345600
4 $ 345600 1152 $ 138240 $ 207360
5 $ 207360 1152 $ 138240 $ 69120
6 $ 69120 576 $ 69120 $ - 0
10000 $ 1200000