One Step, Inc., is trying to determine its cost of debt. The firm has a debt issue outstanding with 27 years to maturity that is quoted at 105 percent of face value. The issue makes semiannual payments and has a coupon rate of 4 percent.

Requried:

a. What is the company's pretax cost of debt?

b. If the tax rate is 23 percent, what is the aftertax cost of debt?

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Kolawole845 Kolawole845 · Answer 1 · 2020-08-11T02:16:45+02:00

Answer:

Before tax cost of debt=3.72%

After-tax cost of debt =2.87 %

Explanation:

The yield to maturity to Maturity van be worked out using the formula below:

YM =( C + F-P/n) ÷ ( 1/2× (F+P))

C- annual coupon,

F- face value ,

P- current price,

n- number of years to maturity

YM - Yield to maturity

DATA

C- 4%× 100 = 4, P- 105, F- 100

AYM = 4 + (100-105)/27 ÷ 1/2× (100+105)

=0.0372 × 100= 3.72%

Yield to maturity =3.72%

Before tax cost of debt = Yield to maturity

Before tax cost of debt=3.72%

After tax cost of debt =Before tax cost of debt × (1-T)

Before tax cost of debt = 3.72%

Tax rate = 23%

After-tax cost of debt = 3.72%× (1-0.23) =2.87 %

After-tax cost of debt =2.87 %