Question

3. Avicorp has a $12.7 million debt issue​ outstanding, with a 6.2% coupon rate. The debt has​ semi-annual coupons, the next coupon is due in six​ months, and the debt matures in five years. It is currently priced at 96% of par value.

a. What is​ Avicorp's pre-tax cost of​ debt? Note: Compute the effective annual return.

b. If Avicorp faces a 40% tax​ rate, what is its​ after-tax cost of​ debt? Note: Assume that the firm will always be able to utilize its full interest tax shield.

Answer 1

Given about Avi Corp.

Face value of Debt = $12.7 million

Coupon rate = 6.2% paid semiannually,

So, semiannual coupon payment = (6.2%/2) of 12.7 million = 0.3937 million

years to maturity = 5 years

Price = 96% of face value = 0.96*12.70 = $12.192 million

a). So, Yield to maturity on this debt can be calculated using following values on financial calculator:

FV = 12.7

PV = *12.192

PMT = 0.3937

N = 2*5 = 10

compute for I/Y, we get I/Y = 3.583

So, semiannual yield = 3.583%

So, Yield to maturity = 2*3.583 = 7.17%

effective annual yield = (1+0.03583)^2 - 1 = 7.29%

For a company, its pre-tax cost of debt equals effective yield to maturity on its debts

So, Avicorp's pre-tax cost of​ debt Kd = 7.29%

b). Tax rate = 40%

=> After-tax cost of debt = (1-tax rate)*Kd = 7.29*(1-0.4) = 4.38%