$1.$ A $$1,000$ face value corporate bond with a $6\mathrm{.}75$ percent coupon $($paid semiannually$)$ has $10$

years left to maturity. It has had a credit rating of BB and a yield to maturity of $9$ 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 $6\mathrm{.}1$ percent. What will be the change in the

bond$$s price in percentage terms?