In: Accounting
A corporate bond with a face value of $100,000 was issued six years ago and there are four years remaining until maturity. The bond pays semi-annual coupon payments of $4500, the coupon rate is 9% pa paid twice yearly and rates in the marketplace are 9.4% pa compounded semi-annually. What is the value of the bond today? a. $98,975.05 b. $98,196.97 c. $100,000.00 d. $98,691.54 e. $84,263.76
Value of the bond today
The Price of the Bond is the Present Value of the Coupon Payments plus the Present Value of the Face Value/Par Value.
The Price of the Bond is normally calculated either by using EXCEL Functions or by using Financial Calculator.
Here, the calculation of the Bond Price using financial calculator is as follows
Variables |
Financial Calculator Keys |
Figures |
Par Value/Face Value of the Bond [$100,000] |
FV |
100,000 |
Coupon Amount [$100,000 x 9.00% x ½] |
PMT |
4,500 |
Market Interest Rate or Yield to maturity on the Bond [9.40% x ½] |
1/Y |
4.70 |
Maturity Period/Time to Maturity [4 Years x 2] |
N |
8 |
Bond Price |
PV |
? |
Here, we need to set the above key variables into the financial calculator to find out the Price of the Bond. After entering the above keys in the financial calculator, we get the Price of the Bond = $98,691.54.
“Hence, the Value of the bond today will be $98,691.54”