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Reading 45: Cost of Capital - LOS h ~ Q16-17

16.Velma and Daphne Productions is estimating the weighted average cost of capital (WACC). They have several pieces of data to consider. The firm pays 60 percent of its earnings out in dividends. The return on equity (ROE) is 16 percent. Last year’s earnings were $4.00 per share and the dividend was just paid to shareholders. The current price of shares is $35.00. If the firm must issue new shares of common stock, they must pay a flotation cost to the investment bankers of 6 percent. The firm’s optimal capital structure includes 10 percent preferred stock, 40 percent debt and 50 percent equity. They can sell additional bonds at a rate of 9 percent. The cost of issuing new preferred stock is 13 percent. The firm’s marginal tax rate is 40 percent.

The cost of issuing retained earnings and new common shares is closest to:

       Cost of retained earnings    Cost of new common stock

A)                                     13.3%      13.7%

B)                                     13.7%      14.2%

C)                                     13.3%      14.2%

D)                                     13.7%      13.7%

17.Velma and Daphne Productions’ weighted average cost of capital (WACC) using retained earnings is closest to:

A)   10.54%.

B)10.31%.

C)   13.55%.

D)   11.67%.

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答案和详解如下:

16.Velma and Daphne Productions is estimating the weighted average cost of capital (WACC). They have several pieces of data to consider. The firm pays 60 percent of its earnings out in dividends. The return on equity (ROE) is 16 percent. Last year’s earnings were $4.00 per share and the dividend was just paid to shareholders. The current price of shares is $35.00. If the firm must issue new shares of common stock, they must pay a flotation cost to the investment bankers of 6 percent. The firm’s optimal capital structure includes 10 percent preferred stock, 40 percent debt and 50 percent equity. They can sell additional bonds at a rate of 9 percent. The cost of issuing new preferred stock is 13 percent. The firm’s marginal tax rate is 40 percent.

The cost of issuing retained earnings and new common shares is closest to:

       Cost of retained earnings    Cost of new common stock

A)                                     13.3%      13.7%

B)                                     13.7%      14.2%

C)                                     13.3%      14.2%

D)                                     13.7%      13.7%

The correct answer was B)

ROE x retention ratio = growth rate. 16% x (1 – 0.60) = 6.4%.
D0 = $4.00 x 0.60 = $2.40
[$2.40(1.064) / $35.00] + 0.064 = 13.7%.
[$2.40(1.064) / ($35.00 x (1 – 0.06))] + [0.064] = 14.16%.

17.Velma and Daphne Productions’ weighted average cost of capital (WACC) using retained earnings is closest to:

A)   10.54%.

B)10.31%.

C)   13.55%.

D)   11.67%.

The correct answer was B)

WACC = 0.40 (9%) (1 – 0.40) + 0.1 (13%) + 0.5 (13.7%) = 10.31%.

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