Bond X is a premium bond making semiannual payments. The bond pays a coupon rate of 10 percent, has a YTM of 8 percent, and has 20 years to maturity. Bond Y is a discount bond making semiannual payments. This bond pays a coupon rate of 8 percent, has a YTM of 10 percent, and also has 20 years to maturity. The bonds have a $1,000 par value. What is the price of each bond today? For Bond X and Y?

If interest rates remain unchanged, what do you expect the price of these bonds to be one year from now? In 10 years? In 15 years? In 19 years? In 20 years? For Bond X and Y?