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Droz\'s Hiking Gear, Inc. has found that its common equity capital shares have a

ID: 2744254 • Letter: D

Question

Droz's Hiking Gear, Inc. has found that its common equity capital shares have a beta equal to 1.5 while the risk-free return is 8 % and the expected return on the market is 14 %. It has 7-year semiannual maturity bonds outstanding with a price of $767.03 that have a coupon rate of 7 %. It has preferred stock that sells for $25 and pays a dividend of $4. The firm is financed with $120,000,000 of common shares (market value), $45,000,000 of preferred stock, and $80,000,000 of debt. What is the after-tax cost of capital for Droz's, if it is subject to a 35 % marginal tax rate?

Explanation / Answer

First, Let us calculate the return on equity:

Return on equity (Ke)= Rf + (Rm – Rf)

                                        = 8% + (14%-8%) 1.5

                                        = 8% + 9%

                                         = 17%

Kd = Interest × (1-Tax rate)

      = 7% × (1-0.35)

      = 4.55%

Kp = Preference dividend / Preferred stock

     = $4 / $25

     = 16%

Now, after tax cost of capital of DHG is computed as follows:

Source of capital

Amount

Weight

Cost

WACC

Equity capital (common stock)

$        120,000,000

0.490

17%

8.3%

Preference capital

$          45,000,000

0.184

16%

2.9%

Debt

$          80,000,000

0.327

5%

1.5%

$        245,000,000

12.8%

Therefore, after tax cost of capital is 12.8%.

Source of capital

Amount

Weight

Cost

WACC

Equity capital (common stock)

$        120,000,000

0.490

17%

8.3%

Preference capital

$          45,000,000

0.184

16%

2.9%

Debt

$          80,000,000

0.327

5%

1.5%

$        245,000,000

12.8%

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