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 a YTM of $9$

percent, and also has $13$ years to maturity. Assume a par value of $$1,000.$

What is the price of each bond today? $($Round your answers to $2$ decimal places. $($e$.$g$.,$

$32\mathrm{.}16))$

Price of bond $x$

$

Price of bond $Y$

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? $($Round your

answers to $2$ decimal places. $($e$.$g$.,32\mathrm{.}16))$