Question

Jiminy’s Cricket Farm issued a 30-year, 6 percent semiannual bond three years ago. The bond currently sells for 93 percent of its face value. The company’s tax rate is 22 percent. a. What is the pretax cost of debt? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the aftertax cost of debt? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Answer 1

Answer:

a. What is the pretax cost of debt? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

• 6.46%

b. What is the aftertax cost of debt? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

• 5.04%

Explanation:

we must first determine the bond's yield to maturity:

YTM = {coupon + [(face value - market value)/n]} / [(face value + market value)/2] = {30 + [(1,000 - 930)/60]} / [(1,000 + 930)/2] = 31.17 / 965 = 3.23% x 2 = 6.46%

after tax cost of debt = 6.46% x (1 - tax rate) = 6.46% x (1 - 22%) = 6.46% x 78% = 5.04%