A $$1000$ face value corporate bond with a $6\mathrm{.}75$ percent coupon $($paid semiannually$)$ has $20$ years left to maturity. It has had a credit rating of BB and a yield to maturity of $8\mathrm{.}2$ percent. The firm recently became more financially stable and the rating agency is upgrading the bonds to BBB$.$ The new appropriate discount rate will be $7\mathrm{.}1$ percent. What will be the change in the bond$$s price in dollars and percentage terms?