A $15-$year bond issue of $4,500,000$ and bearing interest at $3\mathrm{.}5\%$ payable annually is sold to yield $3\mathrm{.}1\%$ compounded semi$-$annually. What is the issue price of the bonds?

The purchase price of the bond is $

$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.$)$