andrew industries is contemplating issuing a $30-$year bond with a coupon rate of $4\mathrm{.}36\%($annual coupon payments$)$ and a face value of $$1,000.$ andrew believes it can get a ratin a from standard and poor's. however, due to recent financial difficulties at the company, standard and poor's is warning that it may downgrade andrew industries bonds to bbb yields on a$-$rated, long$-$term bonds are currently $3\mathrm{.}86\%,$ and yields on bbb$-$rated bonds are $4\mathrm{.}26\%.$ a$.$ what is the price of the bond if andrew maintains the a rating for the bond issue? b$.$ what will the price of the bond be if it is downgraded?