Problem $7-10$ Valuing Bonds $[$LO$2]$

Yan Yan Corporation has a $$2,000$ par value bond outstanding with a coupon rate of $5\mathrm{.}1$ percent paid semiannually and $29$ years to

maturity. The yield to maturity on this bond is $4\mathrm{.}2$ 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$.,32\mathrm{.}16.$