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Dakota, Inc., want you to find the cost of capital (WACC). Information is given

ID: 2768776 • Letter: D

Question

Dakota, Inc., want you to find the cost of capital (WACC). Information is given regarding the cost of capital.

Debt: Dakota’s bonds have a coupon rate of 6% and 20 years to maturity. The current value of the bond is $802.07. The coupon is paid semiannually. The tax rate is 40%.

Common Equity: Dakota’s stock will use CAPM. The beta is 1.1 and the risk-free rate is 4%. The market risk premium is 9%.

Dakota has a capital structure of 40% debt and 60% common equity.

1. Find the cost of debt after-tax.

2. Find the cost of equity.

3. Find the WACC for Dakota.

Explanation / Answer

1. Cost of Debt after tax = Yield to Maturity of the bond * (1 - Tax rate)

YTM = RATE(no of coupons, coupon, present value of bond, final payment) = rate(40,30,-802.07,1000) = 4%

Cost of debt after-tax = 4% * (1 - 0.40) = 4% * 0.60 = 2.4%

2. As per CAPM, Cost of equity = risk free rate + Beta * Market risk premium = 4% + 1.1*9% = 13.9%

3. WACC = weighted average cost of capital = 40% * 2.4% + 60% * 13.9% = 0.96% + 8.34% = 9.3%