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AZ Products has 375,000 shares of common stock outstanding at a market price of $35 a share. Next year's annual dividend is expected to be $1.50 a share and the dividend growth rate is 2 percent. The firm also has 7,500 bonds outstanding with a face value of $1,000 per bond. The bonds have a pretax yield of 7.65 percent and sell at 98.6 percent of face value. The company's tax rate is 34 percent. What is the firm's weighted average cost of capital?

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Answer:

The firm's weighted average cost of capital 5.81%

Step-by-step explanation:

In order toTo calculate WACC, we need to calculate the cost of equity and after-tax cost of debt. The WACC can be calculated with the use of following formula:

WACC = After-Tax Cost of Debt*Weight of Debt + Cost of Equity*Weight of Equity

Where,

After-Tax Cost of Debt = Pretax Yield*(1-Tax Rate)

Market Value of Debt = Outstanding Bonds*Par Value*Current Selling Percentage

Cost of Equity = D1/Current Market Price + Growth Rate

Market Value of Equity = Number of Common Shares Outstanding*Current Market Price

Weight of Debt = Market Value of Debt/(Market Value of Debt + Market Value of Equity)

Weight of Equity = Market Value of Equity/(Market Value of Debt + Market Value of Equity)

Therefore, Market Value of Debt = 7,500*1,000*98.60% = $7,395,000

Market Value of Equity = 375,000*35 = $13,125,000

Weight of Debt = 7,395,000/(13,125,000 + 7,395,000)

Weight of Equity =$13,125,000 /($13,125,000 + 7,395,000)

Cost of Equity = 1.50/35 + 2% = 6.28% 0.01801

After-Tax Cost of Debt = 7.65*(1-34%) = 5.05%

Using the values calculated above in the formula for WACC, we get,

WACC = 5.05%*7,395,000/(13,125,000 + 7,395,000) + 6.28% *$13,125,000/($13,125,000 + 7,395,000) = 5.81%

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