Question

Airborne Airlines Inc. has a $1,000 par value bond outstanding with 10 years to maturity. The bond carries an annual interest payment of $90 and is currently selling for $960. Airborne is in a 20 percent tax bracket. The firm wishes to know what the aftertax cost of a new bond issue is likely to be. The yield to maturity on the new issue will be the same as the yield to maturity on the old issue because the risk and maturity date will be similar.
Required:
a. Compute the yield to maturity on the old issue and use this as the yield for the new issue.
b. Make the appropriate tax adjustment to determine the aftertax cost of debt.

Answer 1

Answer:Yield to maturity is 9.59%;  After tax cost of debt =7.672%

Explanation:

 A)   Yield to maturity ={ C + (FV-PV)/t} /  {(FV +PV)/2}

Where C – Interest payment    = $90

FV – Face value of the security

= $1000

PV – Present value/curent market value = $960

t – years it takes the security to reach maturity= 10 years

imputing the values and calculating,

yield to maturity ={ C + (FV-PV)/t} /  {(FV +PV)/2}

= $90 + (1000-960)/10} / 1000 + 960 /2

$90 + 4= $94 /980= 0.0959

therefore Yield to maturity is 9.59%

B)   After tax cost of debt =    Yield To Maturity  x (1 - tax rate)

=9.59% x (1-20%)= 9.59% x (1-0.2 )= 9.59% x 0.8 =

9.59 % x 80%=7.672%