Question

In: Accounting

A corporate bond with a face value of $100,000 was issued six years ago and there...

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

Solutions

Expert Solution

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”


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