Northwest Utility Company faces increasing needs for capital.
Fortunately, it has an Aa3 credit rating. The corporate tax rate is
30 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 7.6 percent annually and this should continue
in the future. Northwest’s common stock is selling at $68 per
share, and the company will pay a $5.20 per share dividend
(D1).
The company’s $104 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 $2.00 for preferred
stock.
The company’s optimum capital structure is 30 percent debt, 25
percent preferred stock, and 45 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 | $ | 915.18 | 8.55 | % | |
Pacific bell––7 3/8 2025 | Aa3 | 895.25 | 8.33 | |||
Pennsylvania power & light––8 1/2 2022 | A2 | 990.66 | 8.66 | |||
Industrials: | ||||||
Johnson & Johnson––6 3/4 2023 | Aaa | 840.24 | 8.56 | % | ||
Dillard’s Department Stores––7 1/8 2023 | A2 | 1,000.92 | 8.77 | |||
Marriott Corp.––10 2015 | B2 | 1,055.10 | 9.33 | |||
a. Compute the cost of debt,
Kd. (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,
Kp. (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, Ke. (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.)
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Solution
a). Northwest Utility has a credit rating of Aa3. The only other company having the same credit rating is Pacific Bell which has a yield of 8.33%. So yield for Northwest Utility bonds will be 8.33%.
kd = 8.33%*(1-Tax rate) = 8.33%*(1-30%) = 5.83%
b). Cost of preferred stock (kp) = annual dividend/(price - flotation cost)
kp = (5%*104)/(104-2) = 5.10%
c). Cost of retained earnings (ke) = (D1/P0) + growth rate
= (5.2/68) + 7.6% = 15.25%
d). Weighted cost of debt = weight of debt*kd = 30%*5.83% = 1.75%
Weighted cost of preferred stock = weight of preferred stock*kp = 25%*5.10% = 1.27%
Weighted cost of common equity = weight of common equity*ke = 45%*15.25% = 6.86%
Weighted average cost of capital = 1.75% + 1.27% + 6.86% = 9.88%
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