ÇANKAYA UNIVERSITY MAN 305 BUSINESS FINANCE MIDTERM EXAM II 28 December 2012 NAME: DEPT: SURNAME: ID: Question 1 (20 p) Calculate the NPV for the following capital budgeting proposal: $100,000 initial cost, to be depreciated straight-line over five years to an expected salvage value of $5,000, 35% tax rate, $45,000 additional annual revenues, $15,000 additional annual expense, 11% cost of capital. Answer Year 0 -100,000 Cost Revenues - Expenses - Dep'n = Pretax Profit Taxes Profit Salvage Value Tax effect Cash Flows -100,000 1 NPV = $26,150 1 Year 1 Year 2 Year 3 Year 4 Year 5 45,000 - 15,000 - 19,000 45,000 - 15,000 - 19,000 45,000 - 15,000 - 19,000 45,000 - 15,000 - 19,000 45,000 - 15,000 - 19,000 11,000 3,850 7,150 11,000 3,850 7,150 11,000 3,850 7,150 11,000 3,850 7,150 11,000 3,850 7,150 5,000 0 26,150 26,150 26,150 26,150 31,150 4 .11 .11(1.11) = 26,150 [9.07091 – 5.98846] + + $31,150 (1.11) 5 31,150 1.68506 = 26,150 [3.10245] + 18,485 – 100,000 = 81,129.07 + 18,459 – 100,000 = -$385,93 Reject the project - 100,000 - 100,000 Question 2 (15 p) An investor was expecting a 18% return on his portfolio with beta of 1.25 before the market risk premium decreased from 8% to 6%. Based on this change, what return will now be expected on the portfolio? Answer: Old: 18% = rf + 1.25(8%) = rf + 10.0% 8.0% = rf New: Expected return = 8.0% + 1.25(6%) = 8.0% + 7.5% = 15.5% Question 3 (10 p) Plasti-tech Inc. is financed 60% with equity and 40% with debt. Currently, its debt has a before-tax interest rate of 12%. Plasti-tech's common stock trades at $15 per share and its most recent dividend was $1.00. Future dividends are expected grow by 4%. If the tax rate is 34%, what is Plasti-tech's WACC? re = 1/$15 + 0.04 = 10.67% WACC = 0.4[0.12(1 - 0.34)] + 0.6(0.1067) = .0317 + .064 = 9.57% Question 4 (10 p) You have two types of common stocks, and their rates of returns in 3 different economical conditions are given below. Which one would you invest? Stock A or Stock B? Scenario Probability Return on A Return on B Recession 25% -4% 9% Normal 40% 8% 4% Boom 35% 20% -4% Stock A: Expected return = (.25 x –4%) + (.40 x 8%) + (.35 x 20%) = 9.2% Stock B: Expected return = (.25 x 9%) + (.40 x 4%) + (.35 x -4%) = 2.45% Stock A will be better alternative to invest Question 5 (15 p) Calculate the nominal return, real return, and real risk premium for the following common stock investment: Purchase price $60.00 per share Dividend $3.50 per year Sales price $73.00 per share Treasury bill yield 8.5% Inflation rate 7.5% Hint: Risk premium = real return - real return on Treasury bills Answer: capital gain dividend Nominal return = initial share price = $73 60 $3.50 $60 13 3.50 60 16.50 = 60 = 27.5% = Real return = = 1.275 -1 1.075 1 nominal rate -1 1 inflation rate = 18.6% Risk premium = real return less real return on Treasury bills 1.085 = 18.6% - 1 1.075 = 18.6% - .93% = 17.67% in real terms. Note: The problem did not specify whether the risk premium should be calculated in nominal or real terms, so either answer would be accepted. Question 6 (10 p) (optional, solve this question instead of 5 multiple choice questions) What is the WACC for a firm with 40% debt, 20% preferred stock and 40% equity if the respective costs for these components are 9.23% before-tax, 12% after-tax, and 18% before-tax? The firm's tax rate is 35%. WACC = (.4 x (1-35%) x .0923) + (.2 x .12) + (.4 x .18) = .024 + .024 + .072 = 12.0% Question 7 (2 p each) Which of the following descriptions is representative of scenario analysis? A) One variable at a time is allowed to change. B) It isolates the unknowns that belong in the model. C) Different combinations of variables are analyzed. D) It represents the "top-down" approach. Answer: C Using a computer model to repeatedly vary the combination of project variables in order to compare NPVs is called: A) Scenario analysis B) Sensitivity analysis C) NPV break-even analysis D) Simulation analysis Answer: D When management selects production technologies that include a high proportion of fixed costs, they: A) decrease their DOL. B) increase their DOL. C) decrease their NPV-break even level of sales. D) reduce the NPV of their cash flows. Answer: B Real rates of return are typically less than nominal rates of return due to: A) inflation. B) capital gains. C) dividend payments. D) depreciation. Answer: A In a year in which common stocks offered an average return of 18%, Treasury bonds offered 10% and Treasury bills offered 7%, the risk premium for common stocks was: A) 1% B) 3% C) 8% D) 11% Answer: D A tax shield is equal to the reduction in: A) tax liability resulting from a deductible expense. B) taxable income resulting from a deductible expense. C) cash flow from an expense. D) net income. Answer: A When the overall market is up by 10%, an investor with a portfolio of defensive stocks will probably have: A) negative portfolio returns less than 10%. B) negative portfolio returns greater than 10%. C) positive portfolio returns less than 10%. D) positive portfolio returns greater than 10%. Answer: C A stock with a beta greater than 1.0 would be termed: A) an aggressive stock, expected to increase more than the market increases. B) a defensive stock, expected to decrease more than the market increases. C) an aggressive stock, expected to decrease more than the market increases. D) a defensive stock, expected to increase more than the market decreases. Answer: A Stock returns can be explained by the stock's _________ and the stock's __________. A) beta; unique risk. B) beta; market risk. C) unique risk; firm-specific risk. D) aggressive risk; defensive risk. Answer: A Investment projects that plot above the security market line would be considered to have: A) a positive NPV. B) a negative NPV. C) a zero NPV. D) an excessively high discount rate. Answer: A The slope of the regression line that exhibits the past relationship between a stock's return and the market's return is the: A) security market line. B) stock's beta. C) market risk premium. D) stock's unique risk. Answer: B Which of the following statements is incorrect concerning the equity component of the WACC? A) The value of retained earnings is not included. B) Market values should be used in the calculations. C) Preferred equity has a separate component. D) There is a tax shield such as with debt. Answer: D In a year in which common stocks offered an average return of 18%, Treasury bonds offered 10% and Treasury bills offered 7%, the risk premium for common stocks was: A) 1% B) 3% C) 8% D) 11% Answer:D The appropriate opportunity cost of capital is the return that investors give up on alternative investments with: A) the same risk. B) the risk-free return. C) the expected return on the S&P 500 index. D) the normal, common stock risk premium. Answer: A An estimation of the opportunity cost of capital for projects that have an "average" level of risk is the rate of return on: A) Treasury bills. B) the market portfolio. C) the market portfolio minus the rate of return on Treasury bills. D) Treasury bonds plus a maturity premium. Answer: B