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CPA Study Notes - BEC
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BEC - Notes Chapter 3http://www.cpa-cfa.org
Factors Affecting Financial Modeling and Decision Making Relevant data - data, such as future revenues or costs, that change as a result of selecting different alternatives
Can either be fixed or variable, but usually variable Direct costs - costs that can be identified with or traced to a given cost object Prime costs - DM & DL Discretionary costs - costs arising from a periodic or annual budgeting decision (i.e. landscaping) Incremental/differential costs - additional costs incurred to produce an additional unit over current output Avoidable - costs or revenues resulting from choosing one course of action instead of another
Not Relevant data Unavoidable - costs or revenues that will be the same regardless of the chosen course of action Absorption costs - represent the allocated portion of fixed mfg OH, and therefore are not relevant
Objective probability - based on past outcomes (like returns on the stock marketSubjective probability - based on an individuals belief about the likelihood of an event occurring (a lawsuit)
Expected value - is the weighted avg of the probable outcomesExpected value = (probability of each outcome * its payoff) then sum the results
Financial modelling for capital decisionsCash flow direct effect - a company pays out or receives cashCash flow indirect effect - transactions either indirectly associated (sale of old assets) with a capital project or that represent non-cash activity (depreciation) that produce cash benefit (reduces taxable income)
Invoice price + cost of shipping + cost of installation+/- Working capital [such as increase in payroll, supplies expenses or inventory requirements]- Cash proceeds on sale of old asset net of tax= net cash outflow for new PPE
Tax depreciation on new PPE* Marginal tax rate= Depreciation tax shield
After-tax cash flow on operations+ Depreciation tax shield= Total after tax cash flow on operations* present value of annuity- initial cash outflow= Net Present Value (NPV)
Discounted cash flow (DCF) methods are considered the best methods to use for long-run decision because it accounts for time value of money. However, it only uses a single growth rate, which is unrealistic as interest rates change over time.
Payback period - is simple to understand and focuses on the time period for return of investment (liquidity). However, it ignores the time value of money. It shows the return of investment not the return on investment (ignores cash flows occurring after initial investment is recovered)
Net initial investment [cash outflow + change in WC - sale proceeds on old PPE]
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BEC - Notes Chapter 3http://www.cpa-cfa.org
÷ increase in annual net after-tax cash flow [After-tax cash flow on operations + Depreciation tax shield]= payback period
The larger the denominator the shorter the payback period
Discounted payback method - computes payback period using expected cash flows that are discounted by the projects cost of capital
NPV uses a hurdle rate to discount cash flowsNPV = or > than 0, make the investment because the rate of return is = or > than the hurdle rate/discount rate/required rate of return
NPV is superior to IRR because it can still calculate when there are uneven cash flows or inconsistent rates of return.
Use Present value of $1 when the cash inflows are differentUse Present value of an Ordinary Annuity of $1 when the cash inflows are same across all years
NPV is considered the best single technique for capital budgeting, however, NPV does not indicate the true rate of return on investment, just merely if it is less than or greater than our hurdle rate.
Internal rate of return (IRR) is the expected rate of return of a projectNPV calculates amounts, while the IRR calculates percentages
Reject IRR if it is less than or equal to the hurdle rate
How to calculate the IRRDetermine the life of the projectUse the payback period (net increment investment ÷ net annual cash flows) as the present value factorUse the table to calculate IRRB3-27 example of how to calculate the IRR
LimitationsIRR assumes cash flows from reinvestment are reinvested at the IRR %Less reliable when there are differing cash flowsDoes not consider the amount of profit
Want profitability index over 1.0 which means that the PV of inflows is greater than the PV of outflowsPV of net future cash inflows÷ PV of net initial investment = Profitability index
The profitability index measures the cash-flow return per dollar invested; the higher the better
Strategies for short-term and long-term financing Risk indifferent behaviour - increase in risk does not increase management's required rate of return
Certainty equivalent = expected value Risk averse behaviour - increase in risk, increases management's required rate of return
Certainty equivalent < expected value Risk-seeking behaviour - increase in risk, decreases managements required rate of return
Certainty equivalent > expected value
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BEC - Notes Chapter 3http://www.cpa-cfa.org
Diversifiable risk, unsystematic risk, non-market risk - risk that is firm specific and can be diversified away
Nondiversifiable risk, systematic risk, market risk - risks that can not be diversified away
As any risk factor increases (interest rate risk, market risk, credit risk, default risk) the required rate of return increases, which causes the PV or an asset to decreaseProjected cash flow ÷ required rate of return = PV of asset
Stated interest rate (nominal interest rate) - is the interest rate charged before any adjustments for market factors [rate shown in the debt agreement]
Effective interest rate = the actual interest rate charged with a borrowing after reducing loan proceeds for charges and fees related to a loan origination.Effective interest rate = coupon ÷ proceeds
Annual percentage rate = effective periodic interest rate * number of periods in a yearThe annual % rate is the rate required for disclosure by federal regulators
Simple interest = original principal * interest * number of periodsCompound interest = original principal * (1 + interest rate) number of periods
Operating Leverage - the degree to which a firm uses fixed costs (as opposed to variable costs) for leverageFixed (i.e. Executive salaries) - risk and potential return increasesVariable (i.e. commissions) - risk and potential return decreases
% change in EBIT÷ % change in sales= Degree of Operating LeverageIf the numerator changes by a bigger amount than the denominator, that firm is employing leverageSo if a firms EBIT increases by 21% as sales increase by 7% then the DOL is 3. Meaning for every 1% increase in sales, profit increases by 3%
Higher DOL implies that a small increase in sales will have a greater affect on profits and shareholder value. But more risk.
Financial leverage - the degree to which a firm uses fixed financial costs for leverage% change in EPS [or net income÷ % change in EBIT = Degree of financial leverage
Total combined leverage - the use of fixed costs resources and fixed cost financing to magnify returns to firm owners% change in EPS÷ % change in sales = Degree of total combined leverageOr Degree of total combined leverage = DOL * DFL
The optimal capital structure is the mix or debt and equity that produces the lowest WACC which maximizes firm value
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BEC - Notes Chapter 3http://www.cpa-cfa.org
WACC = (Cost of equity * % of capital structure) + (Cost of debt * % of capital structure)Cost of debt must be after tax so, cost of debt = effective interest rate * (1 - tax rate)As a general rule, as a firm raises more capital either equity or debt, the WACC increases
As the WACC or discount rate decreases, the PV increasesDebt carries the lowest cost of capital and is tax deductibleThe higher the tax rate, the more incentive to use debt financing
After tax cost of debt = pre-tax cost of debt * (1 - tax rate)
Cost of preferred stock = dividends ÷ net proceeds
B3 44-45-47 examples of how to calculate cost of debt, preferred stock, and equity (retained earnings)
Cost of Equity (or Retained earnings)A firm should earn at least as much on any earnings retained and reinvested in the business as stockholders could have earned on alternative investments of equivalent risk, otherwise they should pay dividends
3 common methods of computing cost of equity- Capital Asset Pricing Model (CAPM)- DCF- Bond Yield plus Risk Premium
CAPM = risk free rate + beta *(expected return on market - risk free rate)[market risk premium]
B =1 as risky as marketB> 1 more risky than marketB< 1 less risky than market
Short-term financing is classified as current and will mature within 1 yearShort-term financing rates are lower than long term rates, which increases profitabilityHowever, increased interest rate risk (didn’t lock in a rate), and increased credit risk
Debentures are unsecured, while bonds are often secured
ROI - ignores cash flows and uses GAAP incomeROI = income ÷ investment capital [avg assets] [which is avg PPE + avg WC]orROI = profit margin * investment turnover
[NI ÷ sales] [sales ÷ investment]
ROA = NI ÷ assets Net Book value = historical cost - accumulated depreciationNet book value is affected by age and method of depreciation so it can be a misleading indicator
Gross book value - historical costIgnores depreciation
Replacement cost = cost to replace assetIgnores both age and method of depreciation
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BEC - Notes Chapter 3http://www.cpa-cfa.org
The method used to value the investment affect the ROI. As the denominator increases the ROI decreases
ROI focuses on short term results and my cause a disincentive to invest because the short-term result of the new investment may reduce ROI
Residual income measures the excess actual income earned by an investment over the required rate of return, while ROI provides a % return
Required return = net book value * hurdle rate [Equity] [CAPM]
Residual income = NI - Required return
Debt to total capital ratio or assets = debt ÷ assetsDebt to equity = debt ÷ equity
Financial Statement and business implications of liquid asset management Working Capital (WC) = Current assets - current liabilitiesHigh WC, less risk, lower expected return
Current ratio = current assets ÷ current liabilitiesHigh current ratio shows more solvency
Quick ratio = (cash + marketable securities + A/R) ÷ current liabilities[inventory and prepaids not included]
Transaction motive - cash to meet ordinary course of businessSpeculative motive - enough cash to take advantage of temporary opportunitiesPrecautionary motive - enough cash to maintain safety cushion/ liquidity
Primary method to increase cash levels is to either speed up cash inflows or slow down cash outflows
Annual cost of payment discount = 360 ÷ (pay period - discount period) * discount % ÷ (100 - discount %)[works from either perspective, buyer or seller]B3-62 has an example of payment discount calculation
Lockbox at bank may speed up cash inflow, however only worth it if the additional interest income earned on the prompt deposit exceeds the cost of the lockbox
Disbursement float (positive) - occurs when checks have been written but not received by vendor and recorded by the bankCollection float (negative) - occurs when deposits have been recorded on the company's books but not recorded by the bank
The shorter a cash conversion cycle the betterCash conversion cycle = inventory conversion period + A/R collection period - Payables deferral period
[avg inventory ÷ avg cost of sales per day] [avg payables ÷ avg purchases per day] [avg receivables ÷ avg sales per day]
Credit period is the length of time buyers are given to pay for their purchases
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BEC - Notes Chapter 3http://www.cpa-cfa.org
Accounts payable or trade credit, provides the largest source of short term financing for small firms. Defer, try to pay your bills at the end of the pay period
Re-order point = safety stock + (lead time in days or weeks * units sold per days or weeks)
Inventory turnover = COGS ÷ avg inventoryCost savings = inventory turn over * APR
Economic Order Quantity (EOQ) attempts to minimize ordering and carrying costsEOQ = .5(( 2 * annual unit sales * cost per order) ÷ carrying cost per unit)
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