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?

[tex]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\\\\[/tex]

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

For point a:

Before tax [tex]FACE \ \ VALUE \ \ \ \ \ \ \ \ \ \ MARKET \ \ VALUE \ \ \ \ \ \ \ \ \ \ WEIGHT \ \ \ \ \ \ \ \ \ \ COST \ \ \ \ \ \ \ \ \ \ WACC\\\\[/tex][tex]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\\\\[/tex]

[tex]57129760 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 7.216266\\\\[/tex]

For point b:

After tax

[tex]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\\\\[/tex] [tex]57129760 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 4.329759\\\\[/tex]

So,

In a, answer is [tex]7.22\%[/tex]

In b, answer is [tex]4.33\%[/tex]