fin 315 - final exam problems

Carson Electronics uses 58 percent common stock and 42 percent debt to finance its operations. The aftertax cost of debt is 5.4 percent and the cost of equity is 15.3 percent. Management is considering a project that will produce a cash inflow of $49,600 in the first year. The cash inflows will then grow at 2.5 percent per year forever. What is the maximum amount the firm can initially invest in this project to avoid a negative net present value for the project?

$573,941

You have a $15,000 portfolio which is invested in Stocks A and B, and a risk-free asset. $6,000 is invested in Stock A. Stock A has a beta of 1.63 and Stock B has a beta of .95. How much needs to be invested in Stock B if you want a portfolio beta of 1.10?

$7,073.68

Tidewater Fishing has a current beta of 1.16. The market risk premium is 6.8 percent and the risk-free rate of return is 2.9 percent. By how much will the cost of equity increase if the company expands its operations such that the company beta rises to 1.18?

.14 percent

A stock has an expected return of 13.24 percent, the risk-free rate is 4.4 percent, and the market risk premium is 8.98 percent. What is the stock's beta?

.98

The market risk premium is 7.4 percent, and the risk-free rate is 3.1 percent. The beta of Stock A is ________ and the beta of Stock B is ________.

1.25; 1.41

What is the standard deviation of the returns on a portfolio that is invested 37 percent in Stock Q and 63 percent in Stock R?

1.37 percent

The risk-free rate of return is 2.7 percent, the inflation rate is 3.1 percent, and the market risk premium is 6.9 percent. What is the expected rate of return on a stock with a beta of 1.08?

10.15 percent

Southern Bakeries just paid its annual dividend of $.48 a share. The stock has a market price of $17.23 and a beta of .93. The return on the U.S. Treasury bill is 3.1 percent and the market risk premium is 7.6 percent. What is the cost of equity?

10.17 percent

Suppose you observe the following situation: Security Beta Expected Return A 1.16 & .1137 B. 92 & .0984 Assume these securities are correctly priced. Based on the CAPM, what is the return on the market?

10.35 percent

Dee's Fashions has a growth rate of 3.2 percent and is equally as risky as the market while its stock is currently selling for $32 a share. The overall stock market has a return of 10.9 percent and a risk premium of 6.8 percent. What is the expected rate of return on this stock?

10.9 percent

You recently purchased a stock that is expected to earn 19 percent in a booming economy, 12 percent in a normal economy, and lose 8 percent in a recessionary economy. The probability of a boom economy is 16 percent while the probability of a normal economy is 78 percent. What is your expected rate of return on this stock?

11.92 percent

Stock in Country Road Industries has a beta of 1.62. The market risk premium is 8.2 percent while T-bills are currently yielding 2.9 percent. Country Road's last paid annual dividend was $1.87 per share and dividends are expected to grow at an annual rate of 3.8 percent indefinitely. The stock sells for $25 a share. What is the estimated cost of equity using the average return of the CAPM and the dividend discount model?

13.87 percent

The Shoe Outlet has paid annual dividends of $.58, $.66, $.72, and $.75 per share over the last four years, respectively. The stock is currently selling for $10.08 a share. What is the cost of equity?

17.13 percent

What is the standard deviation of the returns on a stock given the following information?

3.28 percent

Fashion Wear has bonds outstanding that mature in 11 years, pay interest annually, and have a coupon rate of 6.45 percent. These bonds have a face value of $1,000 and a current market price of $994. What is the company's aftertax cost of debt if its tax rate is 21 percent?

5.16 percent

The common stock of Manchester & Moore is expected to earn 14 percent in a recession, 7 percent in a normal economy, and lose 4 percent in a booming economy. The probability of a boom is 15 percent while the probability of a recession is 5 percent. What is the expected rate of return on this stock?

5.7 percent

Florida Groves has a $380,000 bond issue outstanding that is selling at 97.4 percent of face value. The firm also has 2,600 shares of preferred stock valued at $61 a share and 37,500 shares of common stock valued at $19 a share. What weight should be assigned to the common stock when computing the weighted average cost of capital?

57.40 percent

Your portfolio is invested 25 percent each in Stocks A and C, and 50 percent in Stock B. What is the standard deviation of your portfolio given the following information?

7.39 percent

Holdup Bank has an issue of preferred stock with a stated dividend of $7 that just sold for $87 per share. What is the bank's cost of preferred?

8.05 percent

Deep Mines has 43,800 shares of common stock outstanding with a beta of 1.54 and a market price of $51 a share. There are 10,000 shares of 7 percent preferred stock outstanding with a stated value of $100 per share and a market value of $83 a share. The 8 percent semiannual bonds have a face value of $1,000 and are selling at 96 percent of par. There are 5,000 bonds outstanding that mature in 13 years. The market risk premium is 7.5 percent, T-bills are yielding 3.6 percent, and the tax rate is 21 percent. What discount rate should the firm apply to a new project's cash flows if the project has the same risk as the company's typical project?

9.30 percent

Which one of the following stocks is correctly priced according to CAPM if the risk-free rate of return is 3.4 percent and the market risk premium is 7.4 percent? Stock Beta Expected Return A.87 .096 B1.09 .102 C1.62 .146 D.98 .107 E1.16 .139

D