Question

Peter's Audio has a yield to maturity on its debt of 7.8 percent, a cost of equity of 12.4 percent, and a cost of preferred stock of 8 percent. The firm has 105,000 shares of common stock outstanding at a market price of $22 a share. There are 25,000 shares of preferred stock outstanding at a market price of $45 a share. The bond issue has a total face value of $1.5 million and sells at 98 percent of face value. If the tax rate is 34 percent, what is the weighted average cost of capital?

Answer 1

WACC = 9.22%

Step-by-step explanation:

after tax cost of debt = 7.8% x (1 - 34%) = 5.148%

Re = 12.4%

cost of preferred stock = 8%

total value:

105,000 common stocks x $22 = $2,310,000

25,000 preferred stocks x $45 = $1,125,00

$1,500,000 bonds x 0.98 = $1,470,000

total value = $4,905,000

capital structure:

common stocks = $2,310 / $4,905 = 47.09%

preferred stocks = $1,125,00 / $4,905 = 22.94%

debt = $1,470,00 / $4,905 = 29.97%

WACC = (47.09% x 0.124) + (22.94% x 0.08) + (29.97% x 0.05148) = 9.22%