To help finance a major expansion, Top Fashion Company sold a noncallable bond several years ago that now has 20 years to maturity. This bond has a 8.0% annual coupon, paid semiannually, sells at a price of $1,050, and has a par value of $1,000. If the firm's tax rate is 40%, what is the component cost of debt for use in the WACC calculation? 4.51% 4.68% 3.95% 5.24% 4.80%

4.51%

Explanation:

First, find the yield to maturity(YTM) of the bond; this would be the pretax cost of debt.

Using a financial calculator, input the following;

Face value of the bond ; FV = 1000

Semiannual coupon payment; PMT = (8%/2)*1000 = 40

Present value of bond; PV = -1050

Time to maturity; N = 20*2 = 40 semiannual payments

then compute semi-annual interest rate ; CPT I/Y = 3.756%

The pretax cost of debt = 3.756% *2 = 7.51%

After tax-cost of debt is used for WACC calculation and is therefore as follows;

7.51%(1-0.40) = 4.51%

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