A convertible bond has a coupon of $7\mathrm{.}5$ percent, paid semiannually, and will mature in $10$ years. If the bond were not convertible, it would be priced to yield $6\mathrm{.}5$ percent. The conversion ratio on the bond is $30$ and the stock is currently selling for $$52$ per share. What is the minimum value of this bond? $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

Minimum value