a$.$ Many years ago, Castles in the Sand Incorporated issued bonds at face value at a yield to maturity of $5\mathrm{.}2\%.$ Now, with $5$ years left until the maturity of the bonds, the company has run into hard times and the yield to maturity on the bonds has increased to $11\%.$ What is now the price of the bond? $($Assume semiannual coupon payments.$)$

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

$\backslash$table$[[$Bond price,$$77446$