Question

The is the interest rate that a firm pays on any new debt financing. Andalusian Limited (AL) can borrow funds at an interest rate of 9.70% for a period of six years. Its marginal federal-plus-state tax rate is 45%. AL’s after-tax cost of debt is (rounded to two decimal places). At the present time, Andalusian Limited (AL) has 15-year noncallable bonds with a face value of $1,000 that are outstanding. These bonds have a current market price of $1,136.50 per bond, carry a coupon rate of 12%, and distribute annual coupon payments. The company incurs a federal-plus-state tax rate of 45%. If AL wants to issue new debt, what would be a reasonable estimate for its after-tax cost of debt (rounded to two decimal places)? (Note: Round your YTM rate to two decimal place.) 4.48% 6.72% 5.60% 5.04%

Answer 1

Answer:

5.34%

The correct option is C,5.60%

Explanation:

The are two requirements here,the first is after cost of debt for the first part of the case study and after tax cost of debt for the second part of the scenario:

1.after tax cost of debt=pretax cost of debt*(1-t)

pretax cost of debt is 9.7%

t is the tax rate at 45% or 0.45

after tax cost of debt=9.7%*(1-0.45)=5.34%

2.

The pretax cost of debt here is computed using the rate formula in excel:

=rate(nper,pmt,-pv,fv)

nper is the number of times the bond pays coupon interest which is 15

pmt is the annual coupon interest receivable by investors i.e $1000*12%=$120

pv is the current market price of the bond which is $1,136.50

fv is the face value of the bond at $1000

=rate(15,120,-1136.50,1000)

rate =10.19%

after tax cost of debt=10.19% *(1-0.45)=5.60%