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As a consultant to GBH skiwear, you have been ask to compute the appropriate dis

ID: 2650744 • Letter: A

Question

As a consultant to GBH skiwear, you have been ask to compute the appropriate discount rate to use to evalute thepurchase of a new warehouse facility. You have determined the market value of the firm's capital structure as follows:

To finance the pruchase, GBH will sell 20 year bonds with a $1,000 par value paying 7.8 percent per year, at the market price of $965. Preferred stock paying a $2.59 divodend can be sold for $34.55. Common stock for GBH is currently selling for $49.31 per share. The firm paid a $4.06 dividend last year and expects dividends to continue growing at a rate of 4.4% per year. The firm's marginal tax rate is 34%. What discount rate should you use to evaluate the warehouse projects?

Solve the following:

a. Calculate component weights of capital

1. The weight of debt in the firm's capital structure is ____%?

2. The weight of preferred stock in the firm's capital structure is____%

3. The weight of common stock in the firm's capital structure is ___%

b. Calculate component costs of capital.

1. The after-tax cost of debt for the firm is ___%

2. The cost of preferred stock for the firm is __%

3. The cost of common equity for the firm is ___%

c. Calculate the firm's weighted average cost of capital.

1. The discount rate you should use to evaluate the warehouse project is ___%

Source of Capital Market Value Bonds $540,000 Preffered Stock $110,000 Common Stock $420,000

Explanation / Answer

Calculation of weights of the component

Total value of the firm capital structure = Value of bonds + Value of preferred stock + Value of common stock

= 540000+110000+420000

=1070000

Weight of bond = Value of bond / Total value of firm

= 540000/1070000 i.e 50.47%

Weight of preferred stock = Value of preferred stock / Total value of firm

= 110000/1070000 i.e 0.10.28%

Weight of common stock = Value of common stock / Total value of firm

= 420000/1070000 i.e 39.25%

Calculation of cost of capital

After tax cost of debt = 7.8(1-Tax)

= 7.8( 1-0.34) i.e 5.148

After tax cost of preferred stock = Preference dividend ( 1-Tax)

= 7.50(1-0.34) i.e 4.95

Price of common stock = D1/Ke-G

49.31 = 4.06(1+0.044)/Ke-0.044

49.31 = 4.24/Ke-0.044

49.31Ke - 2.16964 = 4.24

Ke = 6.41/49.31 i.e 13%

WACC =( Weight of debt * Cost of debt)+ (Weight of [preferred stock * Cost of preferred stock) + ( Weight of common stock * Cost of common stock)

= (0.5047*5.148)+(0.1028*4.95)+(0.3925*13)

= (2.60+0.509+5.10)

= 8.209%

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