Question

In: Finance

Watson consulting, llc is a consultancy to consultants. They have bonds which have a face value...

Watson consulting, llc is a consultancy to consultants. They have bonds which have a face value of $1,000. The bonds carry a 3.5 percent semi-annual coupon, and mature in 10 years. What is the current price of these bonds if the yield to maturity (the going market rate, rd) is 5 percent? $883.08 $813.06 $884.17 $749.04 $594.98

Solutions

Expert Solution

Current Price of the Bond

The Current 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

Face Value [-$1,000]

FV

-1,000

Coupon Amount [$1,000 x 3.50% x ½]

PMT

17.50

Market Interest Rate or Required Rate of Return [5.00% x ½]

1/Y

2.50

Time to Maturity [10 Years x 2]

N

20

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 = $883.08.

“Hence, the Current Price of the Bond will be $883.08”


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