3. The Dayton Corporation is considering a new investment, which would be financed from debt. Dayton could sell new $1k par value bonds at a new price of $950. The bonds would mature in 15 years, and the coupon interest rate is 10%. Compute the after-tax cost of capital to Dayton for bonds, assuming a 34% tax rate. Show work.
After-tax cost of debt = Yield to maturity on the bond x (1 – Tax Rate)
Yield to Maturity (YTM) of the Bond
The Yield to maturity of (YTM) of the Bond is calculated using financial calculator as follows (Normally, the YTM is calculated either using EXCEL Functions or by using Financial Calculator)
Variables |
Financial Calculator Keys |
Figure |
Face Value [$1,000] |
FV |
1,000 |
Coupon Amount [$1,000 x10%] |
PMT |
100 |
Yield to Maturity [YTM] |
1/Y |
? |
Time to Maturity [15 Years ] |
N |
15 |
Bond Price [950] |
PV |
-950 |
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 yield to maturity (YTM) on the bond = 10.68%
So after tax cost of debt = 10.68*(1-.34) = 7.05%
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