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8/12/2019 3. Capital-Investment and Estimation of Cash Flows
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“Principles of Capital
Investment”
Capital Budgeting andEstimating Cash Flows
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Capital Budgeting?
The process of identifying,analyzing, and selecting
investment projects whose returns(cash flows) are expected toextend beyond one year.e.g. Purchase of Fixed Assets,
Investment in R&D
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When a business firm makes a capitalinvestment, it incurs current cash outlayfor benefits to be realized in future.
Proposed investment is judged by theexpected return
How close will it come to RRR by the
investors.
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The Capital
Budgeting Process
Generate investment proposalsconsistent with the firm’s strategic
objectives. Estimate after-tax incremental operating
cash flows for the investment projects.
Evaluate project incremental cashflows.
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The Capital
Budgeting Process
Select projects based on a value-maximizing acceptance criterion. i.e.Whether proposed project will add valueto firm
Reevaluate implemented investment
projects continually and perform post-audits for completed projects.
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Classification of Investment
Project Proposals
1. New products or expansion of existingproducts
2. Replacement of existing equipment orbuildings
3. Research and development
4. Exploration
5. Other (e.g., safety or pollution related)
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Estimating After-Tax
Incremental Cash Flows
Cash flows (not accounting income)
Operating flows (not financing)
After-tax flows Incremental flows
Basic characteristics of relevant
project flows
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Estimating After-Tax Incremental CFs
Ignore sunk costs (the only concerned isincremental cost & benefits, recovery ofpast cost is irrelevant).
Include opportunity costs. (certain cost
do not involve cash, e.g. un-usedbuilding used for new project) Include project-driven changes in
working capital net of spontaneous
changes in current liabilities. (additionalcash, A/R, Inv. Required, and it is assumed itwill be recovered during the life of project.
Include effects of inflation
Principles that must be adhered to in the estimation
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Tax Considerations
and Depreciation
Generally, profitable firms prefer to use anaccelerated method for tax reportingpurposes (MACRS).
Depreciation represents the systematic
allocation of the cost of a capital asset
over a period of time for financialreporting purposes, tax purposes, or
both.
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MACRS Sample Schedule
Recovery Property Class
Year 3-Year 5-Year 7-Year
1 33.33% 20.00% 14.29%2 44.45 32.00 24.49
3 14.81 19.20 17.49
4 7.41 11.52 12.49
5 11.52 8.936 5.76 8.92
7 8.93
8 4.46
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Deprec iab le Bas is
In tax accounting, the fully installed cost ofan asset. This is the amount that, by law,
may be written off over time for taxpurposes.
Depreciable Basis =
Cost of Asset + Capitalized Expenditures
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Capital ized
Expendi tures
Capitalized Expenditures areexpenditures that may provide benefits
into the future and therefore are treatedas capital outlays and not as expenses of
the period in which they were incurred.
Examples: Shipping and installation
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Sale or Disposal of
a Depreciable Asset
capital gain :Tax is implemented on Excessamount,
capital loss : So tax saving results on lossamount → cash saving
Generally, the sale of a “capital asset”
generates a capital gain (asset sells for
more than book value) or capital loss(asset sells for less than book value).
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Calcu lat ing the
Inc remental Cash Flows
1. Initial cash outflow -- the initial net cashinvestment.
2. Interim incremental net cash flows --those net cash flows occurring after theinitial cash investment but not includingthe final period’s cash flow.
3. Terminal-year incremental net cashflows -- the final period’s net cash flow.
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In i t ial Cash Outf low
a) Cost of “new” assets b) + Capitalized expendituresc) + (-) Increased (decreased) NWCd) - Net proceeds from sale of
“old” asset(s) if replacement e) + (-) Taxes (savings) due to the sale
of “old” asset(s) if replacement f) = Initial cash outflow
Depreciable Basis: (a) + (b)
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1. Net operating C/F or Saving
(include inflation, if any)
2. (-) Depreciation (net)3. = CF_BT (EBT)
4. (-/+) Taxes
5. = CF_AT (EAT)
6. = Incremental C/F (1-4) or (2+5)
Incremental Cash Flows
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Terminal-Year
Inc remental Cash Flows
a) Calculate the incremental net cashflow for the terminal period
b) + (-) Salvage value (disposal/reclamationcosts) of any sold or disposed assets
c) - (+) Taxes (tax savings) due to asset saleor disposal of “new” assets
d) + (-) Decreased (increased) level of “net”working capital
e) = Terminal year incremental net cash flow
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Example 1: an Asset Expansion Project
ABC Co. is considering the purchase of a newequipment. The equipment will cost $90,000 plus$10,000 for shipping and installation.
Falls under the 3-year MACRS class.
No NWC requirements. It is forecasted that revenues for the next 4 years :35167, 36250, 55725, 32,258.
The used equipment will then be sold (scrapped)
for $16,500 at the end of the fourth year, when theproject ends. It is in the 40% tax bracket.
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Example 1: an Asset
Expansion Projectyear 1 year 2 year 3 year 4
a) Net C/F 35167 36250 55725 32258
b)
- Depr.
33330 44450 14810 7410c) = CF_BT 1837 (8200) 40915 24848
d) - Tax 735 (3280) 16366 9939
e) = CF_AT 1102 (4920) 24549 14909
f) + Depr. 33330 44450 14810 7410
g) Incr. C/F 34432 39530 39359 22319
or (a) - (d) 34432 39530 39359 22319
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Terminal-Year Incremental C/F
a) $22,319 The incremental cash flowfrom the previous slide inYear 4.
b) + 16,500 Salvage Value.
c) - 6,600 .40*($16,500 - 0) Note, theasset is fully depreciated atthe end of Year 4.
d) + 0 NWC - Project ends.e) = $32,219 Terminal-year incremental
cash flow.
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Summary of Project Net Cash
Flows
Asset Expansion Year 0 Year 1 Year 2 Year 3
Year 4-$100,000 $34,432 $39,530
$39,359 $32,219
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Summary of Project
year 1 year 2 year 3 year 4 a) Net C/F 35167 36250 55725 32258
b) - Depr. 33330 44450 14810 7410
c) = CF_BT 1837 (8200) 40915 24848
d) - Tax 735 (3280) 16366 9939
(a) - (d)
34432 39530 39359 22319Terminal Year CF = (16,500*.6)=9,900 32,219 (100000) 34,432 39,530 39,359 32,219
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Example 2: an Asset Expans ion Project
BW Co. is considering the purchase of a new
machine. The machine will cost $50,000 plus$20,000 for shipping and installation.Falls under the 3-year MACRS class.NWC will rise by $5,000.
FM forecasts that revenues will increase by$110,000 for each of the next 4 years and will thenbe sold (scrapped) for $10,000 at the end of thefourth year, when the project ends. Operating costswill rise by $70,000 for each of the next four years.BW is in the 40% tax bracket.
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In i t ial Cash Outf low
a) $50,000
b) + 20,000
c) + 5,000d) - 0 (not a replacement)
e) + (-) 0 (not a replacement)
f) = $75,000
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Inc remental Cash Flows
Year 1 Year 2 Year 3 Year 4
a) Net C/F $40,000 $40,000 $40,000 $40,000
b) - Depr. 23,331 31,115 10,367 5,187
c) = CF_BT $16,669 $ 8,885 $29,633 $34,813
d) - Tax 6,668 3,554 11,853 13,925
e) = CF_AT $10,001 $ 5,331 $17,780 $20,888
f) + 23,331 31,115 10,367 5,187g) = $33,332 $36,446 $28,147 $26,075
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Terminal-Year
Inc remental Cash Flows
a) $26,075 The incremental cash flowfrom the previous slide inYear 4.
b) + 10,000 Salvage Value.c) - 4,000 .40*($10,000 - 0) Note, the
asset is fully depreciated at
the end of Year 4.d) + 5,000 NWC - Project ends.
e) = $37,075 Terminal-year incrementalcash flow.
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Summary o f Project
Net Cash Flows
Asset Expansion Year 0 Year 1 Year 2 Year 3 Year 4
-$75,000* $33,332 $36,446 $28,147 $37,075
* Notice again that this value is a negative cashflow as we calculated it as the initial cash OUTFLOW
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Example of an Asset Replacement Project
Let us assume that previous asset expansion project
is actually an asset replacement project.The new machine will cost $50,000 plus $20,000 forshipping and installation and falls under the 3-yearMACRS class.
The original basis of the old machine was $30,000and depreciated using straight-line over five years($6,000 per year). The machine has two years ofdepreciation and four years of useful life remaining.BW can sell the current machine for $6,000. The newmachine will save $10,000 per year.NWC are $5,000.40% tax bracket.
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In i t ial Cash Outf low
a) $50,000 Cost
b) + 20,000 Shipping + installation
= $70,000 Depreciable basisc) + 5,000 NWC
d) - 6,000 (sale of “old” asset)
e) - 2,400 <---f) = $66,600 (tax savings
from
loss on sale of
“old” asset)
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Depreciable Basis (old) 30000 Remaining life 4 years Remaining depr. 2 years
Acc. Depr. (3-yaers) 18000 Book Value 12000 Sold for 6000 Loss on disposal 6000 Tax saving 2400
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Calcu lat ion o f the
Change in Deprec iat ion
Year 1 Year 2 Year 3 Year 4
a) $23,331 $31,115 $10,367 $ 5,187
b) - 6,000 6,000 0 0
c) = $17,331 $25,115 $10,367 $ 5,187
a) Represent the depreciation on the “new”
project.
b) Represent the remaining depreciation on the“old” project.
c) Net change in tax depreciation charges.
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Inc remental Cash Flows
Year 1 Year 2 Year 3 Year 4
a) Net C/F $10,000 $10,000 $10,000 $10,000
b) - Depr. (net) 17,331 25,115 10,367 5,187
c) = CF_BT $ -7,331 -$15,115 $ -367 $ 4,813
d) - tax -2,932 -6,046 -147 1,925
g) = $12,932 $16,046 $10,147 $ 8,075
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Terminal-Year
Inc remental Cash Flows
a) $ 8,075 The incremental cash flowfrom the previous slide inYear 4.
b) + 10,000 Salvage Value.c) - 4,000 (.40)*($10,000). Note, the
asset is fully depreciated at
the end of Year 4.d) + 5,000 Return of “added” NWC.
e) = $19,075 Terminal-year incrementalcash flow.
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