Question

A 15 year, $1,000 par value bond has an 8% semi-annual payment coupon. The bond currently sells for $925. if the yield to maturity remains at it's current rate, what will the price be 5 years from now?

Answer 1

Step-by-step explanation:

First, find the YTM of the bond using the following inputs on a financial calculator;

N = 15*2 = 30 semiannual payments

PV= -925

Semiannual coupon payment; PMT = (8%/2)*1000 = 40

FV = 1,000

then CPT I/Y = 4.458%

Annual rate = 4.458% *2 = 8.92%

Next, use the YTM above and change the time to maturity to (15-5 )= 10 years or 20 semiannuals. Therefore, the price at year 5 will be as follows;

N = 10*2 = 20

Semiannual coupon payment; PMT = 40

FV = 1,000

Semiannual rate; I/Y = 4.458%

then CPT PV = 940.206

The price at year 5 will be $940.21