Ying Import has several bond issues outstanding, each making semiannual interest
ID: 2716050 • Letter: Y
Question
Ying Import has several bond issues outstanding, each making semiannual interest payments. The bonds are listed in the following table.
If the corporate tax rate is 34 percent, what is the aftertax cost of the company’s debt? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
Bond Coupon Rate Price Quote Maturity Face Value 1 6.9 % 106.76 5 years $ 49,000,000 2 8.4 115.42 8 years 44,000,000 3 8.1 113.97 15.5 years 64,000,000 4 7.7 103.21 25 years 59,000,000Explanation / Answer
106.76 = 100*.069/2*PVIFA(i/2,10) + 100*PVIF(i/2,10)
Cost of bond 1 i = 5.3416%
115.42 = 100*.084/2*PVIFA(i/2,16) + 100*PVIF(i/2,16)
Cost of bond 2 i = 5.9495%
113.97 = 100*.081/2*PVIFA(i/2,31) + 100*PVIF(i/2,31)
Cost of bond 3 i = 6.6428%
103.21 = 100*.077/2*PVIFA(i/2,50) + 100*PVIF(i/2,50)
Cost of bond 4 i = 7.4159%
Aftertax cost of debt = (5.3416%*49/216 + 5.9495%*44/216 + 6.6428%*64/216 + 7.4159%*59/216)*(1-.34) = 4.24%
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