Drogo, Inc., is trying to determine its cost of debt. The firm has a debt issue outstanding with 14 years to maturity that is quoted at 106 percent of face value. The issue makes semiannual payments and has an embedded cost of 8 percent annually.

a. What is the company’s pretax cost of debt?
b. If the tax rate is 35 percent, what is the aftertax cost of debt?

a. 7.30%

b. 4.745%

Explanation:

For computing the pretax cost of debt we have to applied the RATE formula i.e to be shown in the attachment below:

Given that,  

Present value = $1,000 × 106% = $1,060

Assuming figure - Future value or Face value = $1,000  

PMT = 1,000 × 8% ÷ 2 = $40

NPER = 14 years × 2 = 28 years

The formula is shown below:  

= Rate(NPER;PMT;-PV;FV;type)  

The present value come in negative  

So, after applying the above formula

a. The pretax cost of debt is

= 3.65%  × 2

= 7.30%

b. And, the after tax cost of debt would be

= Pretax cost of debt × ( 1 - tax rate)

= 7.30 % × ( 1 - 0.35)

= 4.745%

answer; ( prices are sticky);