You find a zero coupon bond with a par value of $$10,000$ and $20$ years to maturity. If the yield to maturity on this bond is $5\mathrm{.}2$ percent, what is the dollar price of the bond? Assume semiannual compounding periods. $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$