Corporate Finance Flashcards
Cash Flows Table Format (expansion project)
- Year 0: FC Inv + WC Inv
- Year 1-5: After tax operating cash flows
- Terminal year: after tax FA sales + Return of WC Inv (year 5 can be a terminal year. Step three is added to the total after tax cash flow)
Compute after-tax operating cash flow
+ Sales
- Operating expenses
- Depreciation
= Operating income before taxes
- taxes on operating income
= Op income after taxes
+ Depreciation
= After-tax operating cash flow
After-tax Salvage Value
= (Sale price of FA) - [(Gain on FA) X (Tax rate)]
MACRS
Modified Accelerated Cost Recovery System
When does MACRS switch to straight line method?
- when the straight line amount would be at least as much as under the double or 150%(15 yr - 30 yr MACRS) method.
Calculate MACRS annual depreciation
- Determine double or 150% (over 15 yrs is 150%)
- Assume asset has been used for 6 months in first year
- Divide 1st year Dep % by 2 (5 years = 40%/2 = 20%)
- Multiply each year’s beg BV by double/150%
- Switch to straightline when optimal
Depreciation Tax Savings
= Depreciation Exp. X Tax Rate
Three steps of evaluating a replacement project
- Investment outlays
- Change in annual after-tax operating cash flows
- Terminal year after-tax non-operating cash flow
Investment Outlay Calculation (Replacement Project)
+FC Investment
+NWCInvestment (
-Sale of old equipment
+Taxrate(gain on sale of old equipment)
Investment Outlay
- Remember to use book value (less accumulated depr)
Annual After-tax Operating Cash Flow (Replacement Project)
= (ΔSales-ΔCosts)(1-t)+ΔtD
- ΔtD is the change in the depreciation tax shield*
- You are only concerned about the change in cash flows*
Terminal year after-tax non-operating cash flow (Replacement Project)
TNOCF =
+ Difference on sale of new/old equip
+ Return of additional WC
- Incremental flow from taxes on disposal
= TNOCF
- incremental flow from taxes are calculated like this example… .4(600K - BV) - .4(125K - BV)
Methods to compare projects with unequal lives
- Least common multiple of lives
* The cash flows (including the repeated investment needs to be broken out)* - Equivalent annual annuity approach
* - If this is a one-shot project vs. investment chain, the project with the greatest NPV should be chosen.*
Equivalent Annual Annuity Approach (EAA)
Comput the payment as if the project was an annual annuity
- PV = negative NPV
- FV = 0
- N = Project life
- Cpt Payment
* - This may be superior to the common lifespan method*
Profitability Index & Capital Rationing
- Hard or soft capital rationing means you can’t invest in everything and must prioritize
- PI = PV of Cash Flows / Initial investment
3 Methods to Evalutate Standalone Risk
- Sensitivity analysis: How much does NPV change for a change in one variable.
- Scenario analysis: Each scenario tests the impact of probable scenarios across multiple variables.
- Simulation/Monte Carlo analysis: Define probability distributions for each variable
SML for CAPM to determine appropriate discount rate.
SML or Ri = Rf + β(Rm-Rf)
Types of Real Options
- Timing Options: Can the company delay?
- Sizing Options: Can company abandon or expand project?
- Flexibility Options: Can prices be changed and can output quantities be changed?
- Fundamental Options: Options intrinsic to the project
Price a project option (sizing example)
- Weight the project according to probable outcomes and calculate NPV
- Calcuate the NPV and weight it based on the probable outcomes from the time the option is “exercisable”.
- Compare the difference between the value of 1 to the value of 2 to determine the value of the option.
Economic income / ΔMarket Value / Economic Rate of Return
EI = After tax operating cash flow - change in Market Value
ΔMV = NPV of future cash flows at beginning of period - NPV of future cash flows at end of period. Each year’s ending MV = the nex year’s beginning MV
ERR = EI / Beginning MV
MAKE SURE YOU ONLY INCLUDE FUTURE CASH FLOWS (NOT CURRENT) CASH FLOWS FROM THE END OF THE YEAR TO CALCULATE THE NPV.
Accounting Income
- Includes interest expense (rather than just assuming it is embedded in the discount rate)
- Is net income so depreciation is not added back
DO NOT FORGET TO SUBTRACT INTEREST BEFORE TAXES SINCE THIS WILL PROBABLY NOT BE ALREADY DONE.
Economic Profit Definition
- What the company has after debt and equity holders are paid required rate of return.
- Economic Profit = NOPAT - $WACC
- NOPAT = Net operating profit after tax (does not include interest) EBIT(1-Tr)
- $WACC = invested capital each year (BV of assets) X Required rate of return or cost of capital
NPV of Economic Profit
= NPV of each year’s EP + Initial Capital Investment
Residual Income / Equity Charge for Period
RI = Net Income for Period - Equity Charge for Period
ECfP = (Required return on equity) X (Beginning BV of Equity)
Required Return on Equity
Cost of Capital(WACC) = WoD(CoD)(1-Tr) + WoE(Re)
- -WoD: Weight of Debt*
- CoD: Cost of Debt (interest rate)*
- WoE: Weight of Equity*
- Remeber that WACC formula may also include preferred or other types of equity/debt*
Total project value based on Residual Income
= equity investment + debt investment + NPV of residual income
- The investment is equal to the initial capital (this may be split between debt and equity)
Claims Valuation
- Discounted NPV of payments to debt and equity holders
- Debt is discounted based on the cost of debt
- Equity is discounted based on the Re of equity
Steps to calculate Claims Valuation
- Calculate interest payments: Interest expense (accounting income)
- Calculate principle repayment:
- Calculated equity distributions:
- Discount debt payments at cost of debt and equity payments at Re
Payments to shareholders are the net excess of after tax cash flows after debt payments.
Calculate Equity Payments for Claims Valuation
+ Net income
+Depreciation expense
- Debt principle payments
Equity Payments