Yan Yan Corporation has a $$5,000$ par value bond outstanding with a coupon rate of $4\mathrm{.}6$ percent paid semiannually and $21$ years to maturity. The yield to maturity on this bond is $4\mathrm{.}1$ percent. What is the dollar price of the bond?

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