Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved 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,

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%

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Fundamentals of Financial Management

Authors: Eugene F. Brigham

Concise 9th Edition

1305635937, 1305635930, 978-1305635937

More Books

Students also viewed these Finance questions