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6 October, 13:33

You are analyzing the cost of debt for a firm. You know that the firm's 14-year maturity, 8.6 percent coupon bonds are selling at a price of $745.14. The bonds pay interest semiannually. If these bonds are the only debt outstanding for the firm, answer the following questions. What is the after-tax cost of debt for this firm if it has a 30 percent marginal and average tax rate?

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  1. 6 October, 16:30
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    8.75%

    Explanation:

    Find the YTM which is the pretax cost of debt.

    Using a financial calculator, input the following and adjust the coupon payment, time and interest rate to semi-annual basis.

    Maturity of the bond; N = 14*2 = 28

    Face value : FV = 1000

    Price of the bond; PV = - 745.14

    Semiannual Coupon payment; PMT = semiannual coupon rate * Face value

    Semiannual Coupon payment; PMT = (8.6%/2) * 1000 = 43

    then compute the semiannual rate; CPT I/Y = 6.25%

    Annual rate; YTM; pretax cost of debt = 6.25*2 = 12.5%

    Next, find aftertax cost of debt;

    Aftertax cost of debt = pretax cost of debt (1-tax)

    = 0.125 (1 - 0.30)

    = 0.0875 or 8.75% as a percentage

    Therefore; aftertax cost of debt = 8.75%
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