You find a zero coupon bond with a par value of $$10,000$ and $15$ years to maturity. The yield to maturity on this bond is $5\mathrm{.}2$ percent. Assume semiannual compounding periods. What is the price of the bond?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$