# Solution Problems and Solutions chap

**Topics:**Weighted average cost of capital, Dividend yield, Time value of money

**Pages:**6 (1262 words)

**Published:**December 13, 2014

CAPM, beta, and WACC

1.Bradshaw Steel has a capital structure with 30 percent debt (all long-term bonds) and 70 percent common equity. The yield to maturity on the company’s long-term bonds is 8 percent, and the firm estimates that its overall composite WACC is 10 percent. The risk-free rate of interest is 5.5 percent, the market risk premium is 5 percent, and the company’s tax rate is 40 percent. Bradshaw uses the CAPM to determine its cost of equity. What is the beta on Bradshaw’s stock?

Beta risk

2.Sun State Mining Inc., an all-equity firm, is considering the formation of a new division that will increase the assets of the firm by 50 percent. Sun State currently has a required rate of return of 18 percent, U. S. Treasury bonds yield 7 percent, and the market risk premium is 5 percent. If Sun State wants to reduce its required rate of return to 16 percent, what is the maximum beta coefficient the new division could have?

Risk-adjusted discount rate

3.Assume you are the director of capital budgeting for an all-equity firm. The firm’s current cost of equity is 16 percent; the risk-free rate is 10 percent; and the market risk premium is 5 percent. You are considering a new project that has 50 percent more beta risk than your firm’s assets currently have, that is, its beta is 50 percent larger than the firm’s existing beta. The expected return on the new project is 18 percent. Should the project be accepted if beta risk is the appropriate risk measure?

Pure play method

4.Interstate Transport has a target capital structure of 50 percent debt and 50 percent common equity. The firm is considering a new independent project that has an expected return of 13 percent and is not related to transportation. However, a pure play proxy firm has been identified that is exclusively engaged in the new line of business. The proxy firm has a beta of 1.38. Both firms have a marginal tax rate of 40 percent, and Interstate’s before-tax cost of debt is 12 percent. The risk-free rate is 10 percent and the market risk premium is 5 percent. What should the firm do?

5. Longstreet Corporation has a target capital structure that consists of 30 percent debt, 50 percent common equity, and 20 percent preferred stock. The tax rate is 30 percent. The company has projects in which it would like to invest with costs that total $1,500,000. Longstreet will retain $500,000 of net income this year. The last dividend was $5, the current stock price is $75, and the growth rate of the company is 10 percent. If the company raises capital through a new equity issuance, the flotation costs are 10 percent. The cost of preferred stock is 9 percent and the cost of debt is 7 percent. (Assume debt and preferred stock have no flotation costs.) What is the weighted average cost of capital at the firm’s optimal capital budget?

6. Lamonica Motors just reported earnings per share of $2.00. The stock has a price earnings ratio of 40, so the stock’s current price is $80 per share. Analysts expect that one year from now the company will have an EPS of $2.40, and it will pay its first dividend of $1.00 per share. The stock has a required return of 10 percent. What price earnings ratio must the stock have one year from now so that investors realize their expected return?

7. Heavy Metal Corp. is a steel manufacturer that finances its operations with 40 percent debt, 10 percent preferred stock, and 50 percent equity. The interest rate on the company’s debt is 11 percent. The preferred stock pays an annual dividend of $2 and sells for $20 a share. The company’s common stock trades at $30 a share, and its current dividend (D0) of $2 a share is expected to grow at a constant rate of 8 percent per year. The flotation cost of external equity is 15 percent of the dollar amount issued, while the flotation cost on preferred stock is 10 percent. The company estimates that its WACC is 12.30 percent. Assume...

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