A $15-$year bond issue of $4$ comma $200$ comma $000$ and bearing interest at $4\mathrm{.}5\%$ payable annually is sold to yield $4\mathrm{.}65\%$ compounded semi dash annually. What is the issue price of the$$ bonds?

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Part $1$

The purchase price of the bond is $$$

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