Question

A University of Iowa revenue bond pays an 4.5% level-coupon, matures in twenty years, and offers an effective annual yield (i.e., true yield) of 4%. The bond has a principal value of $1000 and pays interest semiannually. What is the value of this bond, to the nearest dollar?

Answer 1

Value of the Bond

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 [$1,000]	FV	1,000
Coupon Amount [$1,000 x 4.50% x ½]	PMT	22.50
Market Interest Rate or Yield to maturity on the Bond [4.00% x ½]	1/Y	2.00
Maturity Period/Time to Maturity [20 Years x 2]	N	40
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 = $1,068.

“Hence, the Value of the Bond will be $1,068”