Question

Northwest Utility Company faces increasing needs for capital. Fortunately, it has an Aa3 credit rating. The corporate tax rate is 40 percent. Northwest’s treasurer is trying to determine the corporation’s current weighted average cost of capital in order to assess the profitability of capital budgeting projects.
Historically, the corporation’s earnings and dividends per share have increased about 7.2 percent annually and this should continue in the future. Northwest’s common stock is selling at $62 per share, and the company will pay a $2.50 per share dividend (D₁).
The company’s $92 preferred stock has been yielding 5 percent in the current market. Flotation costs for the company have been estimated by its investment banker to be $4.00 for preferred stock.

The company’s optimal capital structure is 30 percent debt, 20 percent preferred stock, and 50 percent common equity in the form of retained earnings. Refer to the following table on bond issues for comparative yields on bonds of equal risk to Northwest.

   

Data on Bond Issues
Issue	Moody’s Rating		Price	Yield to Maturity
Utilities:
Southwest electric power––7 1/4 2023	Aa2	$	885.18		8.54	%
Pacific bell––7 3/8 2025	Aa3		889.25		8.53
Pennsylvania power & light––8 1/2 2022	A2		960.66		8.55
Industrials:
Johnson & Johnson––6 3/4 2023	Aaa		860.24		8.34	%
Dillard’s Department Stores––7 3/8 2023	A2		940.92		8.66
Marriott Corp.––10 2015	B2		1,025.10		9.75

a. Compute the cost of debt, K_d (use the accompanying table—relate to the utility bond credit rating for yield.) (Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.)
  

b. Compute the cost of preferred stock, K_p. (Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.)
  

c. Compute the cost of common equity in the form of retained earnings, K_e. (Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.)
  

d. Calculate the weighted cost of each source of capital and the weighted average cost of capital. (Do not round intermediate calculations. Input your answers as a percent rounded to 2 decimal places.)
  

Answer 1

a

Cost of debt = 8.53%

b

Yield = dividend/price

0.05 = dividend/92

dividend = 4.6

Proceeds from capital raise = price-flotation = 92-4 = 88

cost of preferred equity

cost of preferred equity = Preferred dividend/price*100

cost of preferred equity = 4.6/88*100

=5.23

c

Cost of equity

As per DDM

Price = Dividend in 1 year/(cost of equity - growth rate)

62 = 2.5/ (Cost of equity - 0.072)

Cost of equity% = 11.23

d

Weight of equity = E/A

Weight of equity =

W(E)=0.5

Weight of debt = D/A

Weight of debt = 0.3

W(D)=0.3

Weight of preferred equity =1-D/A-E/A

Weight of preferred equity = =1-0.3 - 0.5

W(PE)=0.2

After tax cost of debt = cost of debt*(1-tax rate)

After tax cost of debt = 8.53*(1-0.4)

= 5.118

WACC=after tax cost of debt*W(D)+cost of equity*W(E)+Cost of preferred equity*W(PE)

WACC=5.12*0.3+11.23*0.5+5.23*0.2

WACC =8.2%