Great Lakes Packing has two bond issues outstanding. The first issue has a coupon rate of 3.82 percent, a par value of $1,000 per bond, matures in 6 years, has a total face value of $5.2 million, and is quoted at 103 percent of face value. The second issue has a coupon rate of 6.59 percent, a par value of $1,000 per bond, matures in 14 years, has a total face value of $9.5 million, and is quoted at 107 percent of face value. Both bonds pay interest semiannually. The company's tax rate is 35 percent. What is the firm's weighted average aftertax cost of debt

3.22%

Explanation:

we must first determine the yield to maturity of both bonds in order to determine their before tax cost of debt:

YTM = {coupon + [(face value - market value)/n]} / [(face value + market value)/2]

YTM Bond₁ = {19.10 + [(1,000 - 1,030)/12]} / [(1,000 + 1,030)/2] = 16.6 / 1,015 = 0.01635 x 2 = 3.27%

YTM Bond₂ = {32.95 + [(1,000 - 1,070)/28]} / [(1,000 + 1,070)/2] = 0.0294 x 2 = 5.88%

firm's weighted after tax cost of debt = {[($5.2 / $14.7) x 3.27%] x (1 - 0.35)} + {[($9.5 / $14.7) x 5.88%] x (1 - 0.35)} = 0.75% + 2.47% = 3.22%

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