A corporate bond with a $7\mathrm{.}100$ percent coupon has $11$ years left to maturity. It has had a credit rating of BB and a yield to maturity of $8\mathrm{.}9$ percent. The firm has recently become more financially stable and the rating agency is upgrading the bonds to BBB$.$ The new appropriate discount rate will be $7\mathrm{.}8$ percent. $($Assume interest payments are semiannual.$)$

What will be the change in the bond$$s price in dollars?

What will be the change in the percentage terms?

Note: Do not round intermediate calculations. Round your final answer to $2$ decimal places.