Problem $6-15($LG $6-2)$

A $$3,000$ face value corporate bond with a $6\mathrm{.}9$ percent coupon $($paid semiannually$)$ has $15$ years left to maturity. It has had a credit rating of BBB and a yield to maturity of $7\mathrm{.}4$ 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 $8\mathrm{.}9$ percent. What will be the change in the bond's price in dollars and percentage terms? $($Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your percentage answers to $3$ decimal places. $($e$.$g$.,32\mathrm{.}161))$

$\backslash$table$[[,,],[$Change in the bond's price in dollars,,$\%$