Miller Corporation has a premium bond making semiannual payments. The bond has a

coupon rate of $8$ percent, a YTM of $6$ percent, and $14$ years to maturity. The Modigliani

Company has a discount bond making semiannual payments. This bond has a coupon

rate of $6$ percent, a YTM of $8$ percent, and also has $14$ years to maturity. Both bonds have

a par value of $$1,000.$

a$.$ What is the price of each bond today? $($Do not round intermediate calculations and

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

b$.$ If interest rates remain unchanged, what do you expect the price of these bonds to be

$1$ year from now? In $5$ years? In $9$ years? In $13$ years? In $14$ years? $($Do not round

intermediate calculations and round your answers to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$