A bond$$s credit rating provides a guide to its risk. Long$-$term bonds rated Aa currently offer yields to maturity of $7\mathrm{.}5\%.$ A$-$rated bonds sell at yields of $8\%.$ A $10-$year bond with a coupon rate of $7\%$ is trading at $96\mathrm{.}55,$ which represents a yield of $7\mathrm{.}5\%.$ If it is downgraded by Moody$$s from Aa to A rating, will its price rise or fall? What will the price be before and after?