Question

Viserion, Inc., is trying to determine its cost of debt. The firm has a debt issue outstanding with 25 years to maturity that is quoted at 91 percent of face value. The issue makes semiannual payments and has an embedded cost of 5 percent annually.a) What is the company's pretax cost of debt?b) If the tax rate is 24 percent, what is the aftrtax debt?

Answer 1

Answer:

Pretax    =  5.61%

After tax = 4.26%

Explanation:

The cost of debt will be the Yield to maturity of the bonds.

91 = present values of the 25 year annuity + present value of the maturity

There is no formula for exact YTM

we can either use excel or calculate by approximation:

In this case we will calcualte the YTM by aprroximation

$YTM = 2\times (\frac{C + \frac{F-P}{n }}{\frac{F+P}{2}})$

C= 25 cuopon payment 1,000 x 5% / 2 becayse paymenr are semiannually

F= 1000 the face value is 1,000

P= 910  the present value or market value is 91% of the face value

n= 50   25 year at 2 payment per year

$YTM = 2 \times (\frac{25 + \frac{1000-910}{50 }}{\frac{1000+910}{2}})$

dividend 26.8

divisor 955

YTM 5.6125654%

This will be the pretax cost of debt

then we calculate the after tax cost of debt

pre-tax cost of debt ( 1 - t ) = after-tax

5.61% ( 1 - .24 ) = 4,2636