Question
I need the answer to this question, but please reference the problem and solution I have attached here at the end.That question hasthe right answer,
I need the answer to this question, but please reference the problem and solution I have attached here at the end.That question hasthe right answer, just the problem has different values.
Olympic Sports has two issues of debt outstanding. One is a 7% coupon bond with a face value of $26 million, a maturity of 15 years, and a yield to maturity of 8%. The coupons are paid annually. The other bond issue has a maturity of 20 years, with coupons also paid annually, and a coupon rate of 8%. The face value of the issue is $31 million, and the issue sells for 95% of par value. The firm's tax rate is 35%.
a. What is the before-tax cost of debt for Olympic? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
b. What is Olympic's after-tax cost of debt? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
***SOLUTION FOR THE SAME TYPE OF PROBLEM ONLY THE PROBLEM HAS DIFFERENT VALUES****
Olympic Sports has two issues of debt outstanding. One is a 8% coupon bond with a face value of $31 million, a maturity of 10 years, and a yield to maturity of 9%. The coupons are paid annually. The other bond issue has a maturity of 15 years, with coupons also paid annually, and a coupon rate of 9%. The face value of the issue is $36 million, and the issue sells for 93% of par value. The firm's tax rate is 35%.
a. What is the before-tax cost of debt for Olympic? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
Before-tax cost of debt : 9.49 1% |
b. What is Olympic's after-tax cost of debt? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
After-tax cost of debt: 6.17 1%
Explanation:
Some values below may show as rounded for display purposes, though unrounded numbers should be used for the actual calculations. |
a. |
First, compute the price of the 8% coupon bonds for each $1,000 of face value: |
PV | = [(.08 $1,000) (1 / .09 {1 / [.09(1 + .09)10]})] + $1,000 / (1 + .09)10 |
= $935.82 |
This means that each 8% coupon bond is selling for 93.582% of face value. Thus, the total market value of the issue is: |
Market value | = .93582 $31m |
= $29,010,526 | |
The 9% coupon bonds are selling at 93% of face value, thus the market value of that issue is: | |
Market value | = .93 $36m |
= $33,480,000 | |
Total market value | = $29,010,526 + 33,480,000 |
= $62,490,526 | |
We also need to know the yield to maturity for the 9% bonds: |
PV = $930 = [(.09 $1,000) ((1 / r) {1 / [r(1 + r)15]})] + $1,000 / (1 + r)15 |
Using trial-and-error, a financial calculator, or a computer, we find that: |
r = 9.9159% |
We can now calculate the before-tax cost of debt: |
Before-tax cost of debt | = WA rA + WB rB |
= [($29,010,526 / $62,490,526) .09] + [($33,480,000 / $62,490,526) .099159] | |
= .0949, or 9.49% | |
b. | |
After-tax cost of debt | = Before-tax cost of debt (1 Tc) |
= 9.49% (1 .35) | |
= 6.17% |
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