Problem $6-15$ Zero Coupon Bonds $[LO2]$

You find a zero coupon bond with a par value of $$10,000$ and $13$ years to maturity. If the

yield to maturity on this bond is $4\mathrm{.}7$ percent, what is the price of the bond? Assume

semiannual compounding periods. $($Do not round intermediate calculations and round

your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$