A $$2,300$ face value corporate bond with a $6\mathrm{.}2$ percent coupon $($paid semiannually$)$ has $12$ years left to maturity, It has had a credit rating of $BBB$ and a yield to maturity of $6\mathrm{.}7$ percent. The firm has recently gotten into some trouble and the rating agency is downgrading the bonds to BB$.$ The new appropriate discount rate will be $8\mathrm{.}0$ percent. What will be the change in the bond's price in $1$ dollars and percentage terms? $($Negative values should be indicated by a minus sign. Do not round intermediate calculations.

points Round your percentage answers to $3$ decimal places. $($e$.$g$.,32\mathrm{.}161))$

Answer is complete but not entirely correct.

$\backslash$table$[[$Change in the bond's price in dollars,$221\mathrm{.}804,],[$Change in the bond's price in percentage,$(10\mathrm{.}054),\%$