You have two bonds in your portfolio. Each bond has a face value of $1000 and pays an 8 percent annual coupon. Bond X matures in 1 year, and Bond Y matures in 15 years.

If the going interest rate is 4 percent, 9 percent, and 14 percent, what will the value of each bond be? Assume Bond X only has one more interest payment to be made at maturity. Assume there are 15 more payments to be made on Bond Y.

The longer-term bond's price varies more than the shorter-term bond's price when interest rates change. Explain why.