Many years ago, Castles in the Sand Incorporated issued bonds at face value at a yield to maturity of $6\mathrm{.}6\%.$ Now, with $6$ 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 $13\%.$ What is now the price of the bond? $($Assume semiannual coupon payments.$)$