S$07-09$ Zero Coupon Bonds $[$LO$2]$

You find a zero coupon bond with a par value of $$10,000$ and $29$ years to maturity. If the yield to maturity on this bond is $4\mathrm{.}2$ percent, what is the dollar price of the bond? Assume semiannual compounding periods.

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

$$ Bond price