Washington State University Finance 325
Practice Problems
(Stock Valuation)
1. Michael’s, Inc. just paid $1.40 to their shareholders as the annual dividend. Simultaneously,
the company announced that future dividends will be increasing by 4.5 percent. If you require an 8 percent rate of return, how much are you willing to pay to purchase one share of Michael’s stock?
2. Angelina’s made two announcements concerning their common stock today. First, the company announced that their next annual dividend has been set at $2.16 a share. Secondly, the company announced that all future dividends will increase by 4 percent annually. What is the maximum amount you should pay to purchase a share of Angelina’s stock if your goal is to earn a 10 percent rate of return?
3. A stock pays a constant annual dividend and sells for $31.11 a share. If the rate of return on this stock is 9 percent, what is the dividend amount?
4. You have decided that you would like to own some shares of GH Corp. but need an
expected 12 percent rate of return to compensate for the perceived risk of such ownership. What is the maximum you are willing to spend per share to buy GH stock if the company pays a constant $3.50 annual dividend per share?
5. Turnips and Parsley common stock sells for $39.86 a share at a market rate of return of 9.5 percent. The company just paid their annual dividend of $1.20. What is the rate of growth of their dividend?
6. B&K Enterprises will pay an annual dividend of $2.08 a share on their common stock next week. Last year, the company paid a dividend of $2.00 a share. The company adheres to a constant rate of growth dividend policy. What will one share of B&K common stock be worth ten years from now if the applicable discount rate is 8 percent?
7. The Red Bud Co. pays a constant dividend of $1.20 a share. The company announced today that they will continue to do this for another 3 years after which time they will discontinue paying dividends permanently. What is one share of this stock worth today if the required rate of return is 7 percent?
8. Bill Bailey and Sons pays no dividend at the present time. The company plans to start paying an annual dividend in the amount of $.30 a share for two years commencing two years from today. After that time, the company plans on paying a constant $1 a share dividend indefinitely. How much are you willing to pay to buy a share of this stock if your required return is 14 percent?
9. Lee Hong Imports paid a $1.00 per share annual dividend last week. Dividends are expected to increase by 5 percent annually. What is one share of this stock worth to you today if the appropriate discount rate is 14 percent?
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Washington State University Finance 325
(Portfolio and CAPM)
10. 11. 12.
You want your portfolio beta to be 1.20. Currently, your portfolio consists of $100 invested in stock A with a beta of 1.4 and $300 in stock B with a beta of .6. You have another $400 to invest and want to divide it between an asset with a beta of 1.6 and a risk-free asset. How much should you invest in the risk-free asset?
You have a $1,000 portfolio which is invested in stocks A and B plus a risk-free asset. $400 is invested in stock A. Stock A has a beta of 1.3 and stock B has a beta of .7. How much needs to be invested in stock B if you want a portfolio beta of .90?
You recently purchased a stock that is expected to earn 12 percent in a booming economy, 8 percent in a normal economy and lose 5 percent in a recessionary economy. There is a 15 percent probability of a boom, a 75 percent chance of a normal economy, and a 10 percent chance of a recession. What is your expected rate of return on this stock?
The Inferior Goods Co. stock is expected to earn 14 percent in a recession, 6 percent in a normal economy, and lose 4 percent in a booming economy. The probability of a boom is 20 percent while the probability of a normal economy is 55 percent and the chance of a recession is 25 percent. What is the expected rate of return on this stock?
13.
14.
You are comparing stock A to stock B. Given the following information, which one of these two stocks should you prefer and why?
Rate of Return if State of Probability of State Occurs Economy State of Economy Stock A Stock B Boom 60% 9% 15% Recession 40% 4% -6%
15. Zelo, Inc. stock has a beta of 1.23. The risk-free rate of return is 4.5 percent and the market
rate of return is 10 percent. What is the amount of the risk premium on Zelo stock?
16.
You own a portfolio with the following expected returns given the various states of the economy. What is the overall portfolio expected return?
State of Probability of Rate of Return Economy State of Economy if State Occurs Boom 15% 18% Normal 60% 11% Recession 25% -10%
17. What is the expected return on a portfolio which is invested 20 percent in stock A, 50
percent in stock B, and 30 percent in stock C?
State of Probability of Returns if State Occurs Economy State of Economy Stock A Stock B Stock C Boom 20% 18% 9% 6% Normal 70% 11% 7% 9% Recession 10% -10% 4% 13%
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Washington State University Finance 325
18. What is the portfolio variance if 30 percent is invested in stock S and 70 percent is invested in stock T? State of Probability of Returns if State Occurs Economy State of Economy Stock S Stock T Boom 40% 12% 20% Normal 60% 6% 4%
19. What is the standard deviation of a portfolio that is invested 40 percent in stock Q and 60
percent in stock R?
State of Probability of Returns if State Occurs Economy State of Economy Stock Q Stock R Boom 25% 18% 9% Normal 75% 9% 5%
20.
21.
Your portfolio has a beta of 1.18. The portfolio consists of 15 percent U.S. Treasury bills, 30 percent in stock A, and 55 percent in stock B. Stock A has a risk-level equivalent to that of the overall market. What is the beta of stock B?
You would like to combine a risky stock with a beta of 1.5 with U.S. Treasury bills in such a way that the risk level of the portfolio is equivalent to the risk level of the overall market. What percentage of the portfolio should be invested in Treasury bills?
22. The market has an expected rate of return of 9.8 percent. The long-term government bond is expected to yield 4.5 percent and the U.S. Treasury bill is expected to yield 3.4 percent. The inflation rate is 3.1 percent. What is the market risk premium?
23. The risk-free rate of return is 4 percent and the market risk premium is 8 percent. What is the expected rate of return on a stock with a beta of 1.28? 24. The common stock of Flavorful Teas has an expected return of 14.4 percent. The return on the market is 10 percent and the risk-free rate of return is 3.5 percent. What is the beta of this stock?
25. Which one of the following stocks is correctly priced if the risk-free rate of return is 3.6 percent and the market rate of return is 10.5 percent?
Stock Beta Expected Return A .85 9.2% B 1.08 11.8% C 1.69 15.3% D .71 7.8% E 1.45 12.3%
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Washington State University Finance 325
(Capital Structure and WACC)
26. Watson’s Automotive has a $400,000 bond issue outstanding that is selling at 102 percent of face value. Watson’s also has 4,500 shares of preferred stock and 21,000 shares of common stock outstanding. The preferred stock has a market price of $44 a share compared to a price of $21 a share for the common stock. What is the weight of the debt as it relates to the firm’s weighted average cost of capital?
27. Gillian’s Boutique has 850,000 shares of common stock outstanding at a market price of $16 a share. The company also has 15,000 bonds outstanding that are quoted at 98 percent of face value. What weight should be given to the common stock when Gillian’s computes their weighted average cost of capital? 28. Jack’s Construction Co. has 80,000 bonds outstanding that are selling at par value. Bonds with similar characteristics are yielding 8.5 percent. The company also has 4 million shares of common stock outstanding. The stock has a beta of 1.1 and sells for $40 a share. The U.S. Treasury bill is yielding 4 percent and the market risk premium is 8 percent. Jack’s tax rate is 35 percent. What is Jack’s weighted average cost of capital?
29. Peter’s Audio Shop has a cost of debt of 7 percent, a cost of equity of 11 percent, and a cost
of preferred stock of 8 percent. The firm has 104,000 shares of common stock outstanding at a market price of $20 a share. There are 40,000 shares of preferred stock outstanding at a market price of $34 a share. The bond issue has a total face value of $500,000 and sells at 102 percent of face value. The company’s tax rate is 34 percent. What is the weighted average cost of capital for Peter’s Audio Shop?
(M&M)
30. Thompson & Thomson is an all equity firm that has 500,000 shares of stock outstanding.
The company is in the process of borrowing $8 million at 9 percent interest to repurchase 200,000 shares of the outstanding stock. What is the value of this firm if you ignore taxes?
31. Uptown Interior Designs is an all equity firm that has 40,000 shares of stock outstanding.
The company has decided to borrow $1 million to buy out the shares of a deceased
stockholder who holds 2,500 shares. What is the total value of this firm if you ignore taxes?
32.
The Winter Wear Company has expected earnings before interest and taxes of $2,100, an unlevered cost of capital of 14 percent and a tax rate of 34 percent. The company also has $2,800 of debt that carries a 7 percent coupon. The debt is selling at par value. What is the value of this firm?
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