Miller Corporation has a premium bond making semiannual payments. The bond pays an $9$ percent coupon, has a YTM of $7$ percent,

and has $15$ years to maturity. The Modigliani Company has a discount bond making semiannual payments. This bond pays a $7$ percent

coupon, has a YTM of $9$ percent, and also has $15$ years to maturity. $($Do not round intermediate calculations. Round the final answers

to $2$ decimal places. Omit $ sign in your response.$)$

If interest rates remain unchanged, what do you expect the price of these bonds to be $1$ year from now? $6$ years? $11$ years? $13$ years? $15$

years?