40 Questions

1. A stock is expected to pay a year-end dividend of $2.00, i.e., D1 = $2.00. The dividend is expected to decline at a rate of 5% a year forever (g = -5%). If the company’s expected and required rate of return is 15%, which of the following statements is CORRECT?

a. The company’s current stock price is $20.

b. The company’s dividend yield 5 years from now is expected to be 10%.

c. The constant growth model cannot be used because the growth rate is negative.

d. The company’s expected capital gains yield is 5%.

e. The company’s stock price next year is expected to be $9.50.

2. A share of common stock has just paid a dividend of $2.00. If the expected long-run growth rate for this stock is 2.0%, and if investors’ required rate of return is 10.5%, what is the stock’s intrinsic value?

3. E. M. Roussakis Inc.’s stock currently sells for $50 per share. The stock’s dividend is projected to increase at a constant rate of 4% per year. The required rate of return on the stock, rs, is 15.50%. What is Roussakis’ expected price 5 years from now?

4. Carter’s preferred stock pays a dividend of $2.00 per quarter. If the price of the stock is $60.00, what is its nominal (not effective) annual expected rate of return?

5. Schnusenberg Corporation just paid a dividend of $1.25 per share, and that dividend is expected to grow at a constant rate of 7.00% per year in the future. The company’s beta is 1.35, the required return on the market is 10.50%, and the risk-free rate is 4.00%. What is the intrinsic value for Schnusenberg’s stock?

6. Rentz RVs Inc. (RRV) is presently enjoying relatively high growth because of a surge in the demand for recreational vehicles. Management expects earnings and dividends to grow at a rate of 30% for the next 4 years, after which high gas prices will probably reduce the growth rate in earnings and dividends to zero, i.e., g = 0. The company’s last dividend, D0, was $1.25. RRV’s beta is 1.20, the market risk premium is 5.25%, and the risk-free rate is 3.00%. What is the intrinsic value of RRV’s common stock?

7. Using the information on Rentz RVs Inc. from problem 6, what is the dividend yield expected for the next year?

8. The Wei Company’s last paid dividend was $2.75. The dividend growth rate is expected to be constant at 2.50% for 2 years, after which dividends are expected to grow at a rate of 8.00% forever. Wei’s required return (rs) is 12.00%. What is the intrinsic value of Wei’s stock?

9. Using the information on Wei Company from problem 8, what should be the price of Wei’s stock at the end of Year 5?

10. You are an analyst studying Beranek Technologies, which was founded 10 years ago. It has been profitable for the last 5 years, but it has needed all of its earnings to support growth and thus has never paid a dividend. Management has indicated that it plans to pay a $0.50 dividend 3 years from today, then to increase it at a relatively rapid rate for 2 years with 50% dividend growth in year 4 and 25% dividend growth in year 5, and then to increase its dividend at a constant growth rate of 6.00% per year thereafter. Assuming a required return of 15.00%, what is your estimate of the intrinsic value of Beranek’s stock?11. Schalheim Sisters Inc. has always paid out all of its earnings as dividends, and hence has no retained earnings. This same situation is expected to persist in the future. The company uses the CAPM to calculate its cost of equity. Its target capital structure consists of common stock, preferred stock, and debt. Which of the following events would reduce its WACC?

a. The market risk premium declines.

b. The flotation costs associated with issuing new common stock increase.

c. The company’s beta increases.

d. Expected inflation increases.

e. The flotation costs associated with issuing preferred stock increase.

12. Hettenhouse Company’s (HC) perpetual preferred stock sells for $105.50 per share, and it pays a $9.50 annual dividend. If the company were to sell a new preferred issue, it would incur a flotation cost of 4.50% of the price paid by investors. HC’s marginal tax rate is 30%. What is the company’s cost of preferred stock for use in calculating the WACC?

13. Scanlon Inc.’s CFO hired you as a consultant to help her estimate the cost of capital. You have been provided with the following data: the risk–free rate of return is 4.00%; the market risk premium is 6.00%; and Scanlon’s beta is 0.85. Based on the CAPM approach, what is the cost of equity from retained earnings?

14. Assume that you are a consultant to Broske Inc., and you have been provided with the following data: D1 = $1.90; P0 = $45.50; and g = 7.00% (constant). What is the cost of equity from retained earnings based on the DCF approach?

15. P. Lange Inc. hired your consulting firm to help them estimate the cost of equity. The yield on Lange’s bonds is 7.25%, and your firm’s economists believe that the cost of equity can be estimated using a risk premium of 5.50% over a firm’s own cost of debt. What is an estimate of Lange’s cost of equity from retained earnings?

16. In their most recent fiscal year, XYZ, Inc. had net income of $20 million and total common equity of $200 million. Also, XYZ, Inc. pays out 40% of its earnings as dividends. Using the Retention Growth Model, what is your best estimate of XYZ’s expected growth rate?

17. Several years ago the Pettijohn Company sold a $1,000 par value, noncallable bond that now has 15 years to maturity and a 7.00% annual coupon that is paid semiannually. The bond currently sells for $950, and the company’s tax rate is 34%. To issue new bonds, Pettijohn would incur 3% flotation costs. What is the component cost of debt for use in the WACC calculation?

18. LePage Co. expects to earn $2.50 per share during the current year, its expected dividend payout ratio is 65%, its expected constant dividend growth rate is 6.0%, and its common stock currently sells for $22.50 per share. New stock can be sold to the public at the current price, but a flotation cost of 7% would be incurred. What would be the cost of equity from new common stock?

19. You were hired as a consultant to Quigley Company, whose target capital structure is 40% debt, 10% preferred, and 50% common equity. The interest rate on new debt is 6.50%, the yield on the preferred is 6.00%, the cost of retained earnings is 13.25%, and the tax rate is 34%. The firm will not be issuing any new stock. What is Quigley’s WACC?

20. Roxie Epoxy’s balance sheet shows a total of $50 million long-term debt with a coupon rate of 8.00% and a yield to maturity of 7.00%. This debt currently has a market value of $55 million. The balance sheet also shows that that the company has 20 million shares of common stock, and the book value of the common equity (common stock plus retained earnings) is $65 million. The current stock price is $8.50 per share; stockholders’ required return, rs, is 15.00%; and the firm’s tax rate is 35%. Based on market value weights, and assuming the firm is currently at its target capital structure, what WACC should Roxie use to evaluate capital budgeting projects?

21. Projects C and D are mutually exclusive and have normal cash flows with an initial outflow followed by a series of positive cash inflows. Project C has a higher NPV if the WACC is less than 12%, whereas Project D has a higher NPV if the WACC exceeds 12%. Which of the following statements is CORRECT?

a. Project D has a higher IRR.

b. Project D is probably larger in scale than Project C.

c. Project C probably has a faster payback.

d. Project C has a higher IRR.

e. The crossover rate between the two projects is below 12%.