Jack\'s Construction Co. has 100,000 bonds outstanding that are selling at par v
ID: 2654281 • Letter: J
Question
Jack's Construction Co. has 100,000 bonds outstanding that are selling at par value. The bonds yield 10.3 percent. The company also has 4.8 million shares of common stock outstanding. The stock has a beta of 1.5 and sells for $60 a share. The U.S. Treasury bill is yielding 4 percent and the market risk premium is 7 percent. Jack's tax rate is 35 percent. What is Jack's weighted average cost of capital?
12.77 percent
6.25 percent
10.76 percent
9.04 percent
12.49 percent
Jack's Construction Co. has 100,000 bonds outstanding that are selling at par value. The bonds yield 10.3 percent. The company also has 4.8 million shares of common stock outstanding. The stock has a beta of 1.5 and sells for $60 a share. The U.S. Treasury bill is yielding 4 percent and the market risk premium is 7 percent. Jack's tax rate is 35 percent. What is Jack's weighted average cost of capital?
Explanation / Answer
Step 1:
1) Cost of Common Stock = Rf + (Rm-Rf)*Beta
Cost of Common Stock = 4 + 7*1.5
Cost of Common Stock = 14.5%
2)
After Tax Cost of Debt = 10.3*(1-35%)
After Tax Cost of Debt = 6.695%
Step 2:
Market Value of Common Stock = 4800000*60 = $ 288 Million
Market Value of Bond = 100000 *1000 = $ 100 Million
Total Market Value = 388 Million
Weight of Common Stock = 288/388
Weight of Debt = 100/388
Step3:
WACC = Weight of Common Stock* Cost of Common Stock + Weight of Debt* After Tax cost of Debt
WACC = 288/388*14.5 + 100/388*6.695
WACC = 12.49%
Answer
12.49 percent
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