Consider three bonds with $5\mathrm{.}76\%$ coupon rates, all selling at face value. The short$-$term bond has a maturity of $4$ years, the intermediate$-$term bond has maturity $8$ years, and the long$-$term bond has maturity $30$ years.

a$.$

What will be the price of each bond if their yields increase to $6\mathrm{.}6\%?($Do not round intermediate calculations. Round your answers to $2$ decimal places.$)$

$4$ Years $8$ Years $30$ Years

Bond price $

$

$

$

b$.$

What will be the price of each bond if their yields decrease to $4\mathrm{.}9$