After-tax cost of Debt is calculated by multiplying the Before-tax cost of debt by (1 – Tax Rate)
WGC’s after-tax cost of debt
WGC’s after-tax cost of debt = Interest Rate x (1 – Tax Rate)
= 9.70% x (1 – 0.25)
= 9.70% x 0.75
= 7.28%
Reasonable estimate for the After-tax cost of Debt
Reasonable estimate for the After-tax cost of Debt is the after-tax Yield to maturity of (YTM) of the Bond and is calculated using financial calculator as follows (Normally, the YTM is calculated either using EXCEL Functions or by using Financial Calculator)
· The Yield to maturity of (YTM) of the Bond is the discount rate at which the Bond’s price equals to the present value of the coupon payments plus the present value of the Face Value/Par Value
· The Yield to maturity of (YTM) of the Bond is the estimated annual rate of return expected by the bondholders for the bond assuming that the they hold the Bonds until it’s maturity period/date.
· 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 |
Par Value/Face Value of the Bond [$1,000] |
FV |
1,000 |
Coupon Amount [$1,000 x 12.00%] |
PMT |
120 |
Market Interest Rate or Yield to maturity on the Bond |
1/Y |
? |
Maturity Period/Time to Maturity [15 Years] |
N |
15 |
Bond Price [-$1,329.55] |
PV |
-1,329.55 |
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 = 8.12%.
After Tax Cost of Debt = Yield to maturity x (1 – Tax Rate)
= 8.12% x (1 – 0.25)
= 8.12% x 0.75
= 6.09%
“Hence, the Reasonable estimate for the After-tax cost of Debt will be 6.09%”
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