A corporate bond with a coupon rate of $8\mathrm{.}1$ percent has $13$ years left to maturity. It has had a credit raring of BBB ans a yield to maturity of $8\mathrm{.}8$ 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 $10\mathrm{.}1$ percent. $($Assume interest payments are semiannual.$)$