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Bond X is a premium bond making semiannual payments. The bond pays a 9 percent coupon, has a YTM of 7 percent, and has 13 years to maturity. Bond Y is a discount bond making semiannual payments. This bond pays a 7 percent coupon, has YTM 9 percent, and also has 13 years to maturity. What is the price of each bond today? If interest rates remain unchanged, what do you expect the price of these bonds to be one year from now? In three years? In eight years? In 12 years? In 13 years? What's going on here? Illustrate your answers by graphing bond prices versus time to maturity.
Assume face value = $1,000
Coupon payment= Face value of the bond x coupon rate x (6/12)
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