Problem $8-17$ Bond Price Movements

Bond $x$ has a premium bond making semiannual payments. The bond pays a coupon of $12$ percent, has a YTM of $10$ percent, and has $18$ years to maturity. Bond $Y$ is a discount bond making semiannual payments. This bond pays a coupon of $10$ percent, has a YTM of $12$ percent, and also has $18$ years to maturity. Both bonds have a par value of $$1,000.$ What is the price of each bond today? If interest rates remain unchanged, what do you expect the price of these bonds to be $1$ year from now? In $7$ years? In $12$ years? In $16$ years? In $18$ years? $($Do not round intermediate calculations and round your answers to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

$\backslash$table$[[,$Bond $x,$Bond $Y$