Question

Avicorp has a $11.3 million debt issue​ outstanding, with a 6.1% 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 95% 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

Answer :

(a.) Calculation of Cost of Debt :

Cost of Debt can be calculated Rate function of Excel :

=RATE(nper,pmt,pv,fv)

where

nper is the number of years to maturity i.e 5 * 2 = 10 (As the coupons are paid semiannually, therefore multiplied by 2)

pmt is the coupon payment i.e 1000 * 6.1% = 61 / 2 = 30.5 (As the coupons are paid semiannually, therefore divided by 2)

pv is current market price i.e 1000 * 95% = 950

fv is the face value i.e 1000

=RATE(10,30.5,-950,1000)

By solving the answer is 3.656%. or 0.03656

Effective Annual Rate = [(1 + 0.03656)^2 - 1 ]

= 1.074455 - 1

= 0.074455 or 7.4455% or 7.45%

Therefore cost of Debt is 7.45%

(b.) Avicorp After tax cost of Debt = Pretax cost of Debt * (1 - tax rate)

= 7.4455% * (1 - 0.40)

=4.47%