A $$2,200$ face value corporate bond with a $5\mathrm{.}50$ percent coupon $($paid semiannually$)$ has $10$ years left to maturity. It has had a credit rating of BB and a yield to maturity of $7\mathrm{.}6$ percent. The firm recently became more financially stable and the rating agency is upgrading the bonds to BBB$.$ The new appropriate discount rate will be $6\mathrm{.}7$ percent. What will be the change in the bond$$s price in dollars and percentage terms? $($Round your answers to $3$ decimal places. $($e$.$g$.,32\mathrm{.}161))$ Change in the bond$$s price in dollars $ Change in the bond$$s price in percentage