In: Finance
ICU Window, INC.is trying to determine its cost of debt. The firm has a debt issue outstanding with 11 years to maturity that is quoted at 111 percent of face value. The issue makes semiannual payments and has an embedded cost of 8.2 percent annually.
a. What is the company's pretax cost of debt?
b. If the tax rate is 24 percent, what is the after tax cost of debt?
a. Pretax cost of debt
b. After tax cost of debt
(a)-Company’s Pre-tax cost of debt
Variables |
Financial Calculator Keys |
Figure |
Par Value/Face Value of the Bond [$1,000] |
FV |
1,000 |
Coupon Amount [$1,000 x 8.20% x ½] |
PMT |
41 |
Market Interest Rate or Yield to maturity on the Bond |
1/Y |
? |
Maturity Period/Time to Maturity [11 Years x 2] |
N |
22 |
Bond Price/Current Market Price of the Bond [-$1,000 x 111%] |
PV |
-1,110 |
We need to set the above figures into the financial calculator to find out the Yield to Maturity of the Bond. After entering the above keys in the financial calculator, we get the semi-annual yield to maturity on the bond (1/Y) = 3.385%.
The semi-annual Yield to maturity = 3.385%.
Therefore, the annual Yield to Maturity of the Bond = 6.77% [3.385% x 2]
“Hence, the company's pretax cost of debt will be 6.77%”
(b)-The after-tax cost of debt
The firm’s after-tax cost of debt on the Bond is the after-tax Yield to maturity (YTM)
The After-tax cost of debt = Annual Yield to maturity on the bond x (1 – Tax Rate)
= 6.77% x (1 – 0.24)
= 6.77% x 0.76
= 5.15%
“Hence, the after-tax cost of debt will be 5.15%”