Question

Olympic Sports has two issues of debt outstanding. One is a 6% coupon bond with a face value of $28 million, a maturity of 15 years, and a yield to maturity of 7%. 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 7%. The face value of the issue is $33 million, and the issue sells for 96% of par value. The firm's tax rate is 40%.

Requied:
a. What is the before-tax cost of debt for Olympic?
b. What is Olympic's after-tax cost of debt?

Answer 1

The responses to these question can be defined as follows:

Step-by-step explanation:

Given:

`Bond \ A \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Bond \ B\\\\`

`Face \ Value \ \ \ \ \ \ \ \ \ \$1,000 \ \ \ \ \ \ \ \ \ \$ 1,000\\\\ Rate \ of \ Coupon \ \ \ \ \ \ \ \ \ 6\% \ \ \ \ \ \ \ \ \ 7\% \\\\Maturity \ in \ Years \ \ \ \ \ \ \ \ \ 15 \ \ \ \ \ \ \ \ \ 20 \\\\Selling - Price \ \ \ \ \ \ \ \ \ -\$ 908.92 \ \ \ \ \ \ \ \ \ \$960 \\\\ Yield \ To \ Maturity \ \ \ \ \ \ \ \ \ 7\% \ \ \ \ \ \ \ \ \ 7.39\% \\\\Total\ Outstanding \ \ \ \ \ \ \ \ \ \$2,80,00,000 \ \ \ \ \ \ \ \ \ \$ 3,30,00,000\\\\`

`Rate\ Tax \ \ \ \ \ \ \ \ \ 40\% \\\\selling\ Price \ \ \ \ \ \ \ \ \ PV(7\% , 15 ,60, 1000)\\\\Yield \ To\ Maturity \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ RATE(20, 70, -960,1000)`

For point a:

Before tax
`FACE \ \ VALUE \ \ \ \ \ \ \ \ \ \ MARKET \ \ VALUE \ \ \ \ \ \ \ \ \ \ WEIGHT \ \ \ \ \ \ \ \ \ \ COST \ \ \ \ \ \ \ \ \ \ WACC\\\\`
`Dr \ 1 \ \ \ \ \ \ \ \ \ \ \$2,80,00,000 \ \ \ \ \ \ \ \ \ \ 25449760 \ \ \ \ \ \ \ \ \ \ 0.445473 \ \ \ \ \ \ \ \ \ \ 7 \ \ \ \ \ \ \ \ \ \ 3.11831\\\\Dr \ 2 \ \ \ \ \ \ \ \ \ \ \$3,30,00,000 \ \ \ \ \ \ \ \ \ \ 31680000 \ \ \ \ \ \ \ \ \ \ 0.554527 \ \ \ \ \ \ \ \ \ \ 7.39 \ \ \ \ \ \ \ \ \ \ 4.097955\\\\`

`57129760 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 7.216266\\\\`

For point b:

After tax

`FACE \ \ VALUE \ \ \ \ \ \ \ \ \ \ MARKET \ \ VALUE \ \ \ \ \ \ \ \ \ \ WEIGHT \ \ \ \ \ \ \ \ \ \ COST \ \ \ \ \ \ \ \ \ \ WACC\\\\Dr \ 1 \ \ \ \ \ \ \ \ \ \ \$2,80,00,000 \ \ \ \ \ \ \ \ \ \ 25449760 \ \ \ \ \ \ \ \ \ \ 0.445473 \ \ \ \ \ \ \ \ \ \ 4.2 \ \ \ \ \ \ \ \ \ \ 1.870986\\\\Dr \ 2 \ \ \ \ \ \ \ \ \ \ \$3,30,00,000 \ \ \ \ \ \ \ \ \ \ 31680000 \ \ \ \ \ \ \ \ \ \ 0.554527 \ \ \ \ \ \ \ \ \ \ 4.434 \ \ \ \ \ \ \ \ \ \ 2.458773\\\\`
`57129760 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 4.329759\\\\`

So,

In a, answer is
`7.22\%`

In b, answer is
`4.33\%`