question archive A firm has determined its optimal capital structure which is composed of the following sources and target market value proportions
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A firm has determined its optimal capital structure which is composed of the following sources and target market value proportions.
Source of capital Target market
proportions
_______________________________________________
Long-term debt 20%
Preferred stock 10
Common stock equity 70
DEBT: The firm can sell a 12-year, $1,000 par value, 7 percent bond for $960. A flotation cost of 2 percent of the face value would be required in addition to the discount of $40.
PREFERRED STOCK: The firm has determined it can issue preferred stock at $75 per share par value. The stock will pay a $10 annual dividend. The cost of issuing and selling the stock is $3 per share.
COMMON STOCK: A firm's common stock is currently selling for $18 per share. The dividend expected to be paid at the end of the coming year is $1.74. Its dividend payments have been growing at a constant rate for the last four years. Four years ago, the dividend was $1.50. It is expected that to sell, a new common stock issue must be underpriced $1 per share in floatation costs. Additionally, the firm's marginal tax rate is 40 percent.
1. The firm's before-tax cost of debt is (See Figure 1101.)
A. 7.7 percent. B. 10.6 percent. C. 11.2 percent. D. 12.7%
2. The firm's after-tax cost of debt is (See Figure 1101.)
A. 3.25 percent. B. 4.6 percent. C. 8 percent. D. 8.13 percent.
3. The firm's cost of preferred stock is (See Figure 1101.)
A. 7.2 percent. B. 8.3 percent. C. 13.3 percent. D. 13.9%
4. The firm's cost of a new issue of common stock is (See Figure 1101.)
A. 7 percent. B. 9.08 percent. C. 13.2 percent. D. 14.4 percent.
5. The firm's cost of retained earnings is (See Figure 1101.)
A. 10.2 percent. B. 13.9 percent. C. 12.4 percent. D. 13.6%
6. The weighted average cost of capital up to the point when retained earnings are exhausted is (See Figure 1101.)
A. 7.5 percent. B. 8.65 percent. C. 10.4 percent. D. 11.0 percent.
7. The weighted average cost of capital after all retained earnings are exhausted is (See Figure 1101.)
A. 13.6 percent. B. 11.0 percent. C. 11.55 percent. D. 10.4%
Answers:
question 1
= -(960 - 2%*1000) = -940; FV = 1000; n = 12; PMT = 70; 1/y, gives 7.79%
Therefore, approximate answer is a.
Question 2.
After tax cost of debt = 7.79%(1-0.40) = 4.67%
Therefore, approximate answer is b.
Question 3.
Cost of Preferred Stock = Annual Dividend/(Current Market Price - Flotation Cost)
= $10/($75 - $3) = $10/$72 = 13.89%
Therefore, answer is d.
Question 4.
Growth Rate = (dividend in year 5/dividend in year 0)1/n - 1
= (1.74/1.50)1/5- 1 = 3.01%
cost of a new issue of common stock = [D1/(P0-flotation cost)] + g
= [1.74/(18 - 1)] + 0.0301 = 0.1024 +0.0301 = 13.25%
Therefore, approximate answer is c.
Question 5.
Cost of retained earnings = [D1/P0] + g
= [1.74/18] + 0.0301 = 0.0967 + 0.0301 = 12.67%
Therefore, approximate answer is c.
Question 6.
Wacc up to the point when retained earnings are exhausted is = (weight of debt x after tax cost of debt) + (weight of preferred stock x cost of preferred stock) + (weight of common stock x cost of retained earnings)
= (0.2 x 4.67%) + (0.1 x 13.89%) + (0.7 x 12.67%) = 11.19%
Therefore, approximate answer is d.
Question 7.
Wacc after all retained earnings are exhausted is = (weight of debt x after tax cost of debt) + (weight of preferred stock x cost of preferred stock) + (weight of common stock x cost of retained earnings)
= (0.2 x 4.67%) + (0.1 x 13.89%) + (0.7 x 13.25%) = 11.5%
Therefore, approximate answer is c.