Andrew Industries is contemplating issuing a $30-$year bond with a coupon rate of $\backslash (9\mathrm{.}81\backslash \%\backslash )($annual coupon payments$)$ and a face value of $\backslash (\backslash$$ $1,000\backslash ).$ Andrew believes it can get a rating of A from Standard and Poor's. However, due to recent financial difficulties at the company, Standard and Poor's is warning that it may downgrade Andrew Industries bonds to BBB$.$ Yields on A$-$rated, long$-$term bonds are currently $\backslash (9\mathrm{.}31\backslash \%\backslash ),$ and yields on BBB$-$rated bonds are $\backslash (9\mathrm{.}71\backslash \%\backslash ).$ a$.$ What is the price of the bond if Andrew maintains the A rating for the bond issue? b$.$ What will the price of the bond be if it is downgraded? a$.$ What is the price of the bond if Andrew maintains the A rating for the bond issue? The price of the bond maintaining the A rating is $\backslash$$ $($Round to the nearest cent.$)$