Bond X is a premium bond making semiannual payments. The bond has a coupon rate of $11$ percent, a YTM of $9$ percent, and $15$ years to maturity. Bond Y is a discount bond making semiannual payments, This bond has a coupon rate of $9$ percent, a YTM of $11$ percent, and also has $15$ years to maturity. Both bonds have a par value of $$1,000$

a$.$ What is the price of each bond today?

b$.$ If interest rates remain unchanged, what do you expect the price of these bonds to be $1$ year from now? In $6$ years? In $10$ years?

In $14$ years? In $15$ years?

Note: For all requirements, do not round intermediate calculations and round your answers to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

Bond X

Bond Y

a$.$ Price today

b$.$ Price in $1$ year

Price In $6$ years

Price in $10$ years

Price in $14$ years

Price in $15$ years