Andrew Industries is contemplating issuing a$30-$year bond with a coupon rate of $5\mathrm{.}52\%($annual coupon$$ payments$)$ and a face value of $ $1,000.$ Andrew believes it can get a rating of A from Standard and$$ 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$$ A$-$rated, long$-$term bonds are currently $5\mathrm{.}02\%,$ and yields on$$ BBB$-$rated bonds are $5\mathrm{.}42\%$ 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? The price of the bond maintaining the A rating is $$$ $($Round to the nearest$$ cent.$)$