Harpeth Valley Water District has a bond outstanding with a coupon rate of $4\mathrm{.}19$ percent and semiannual payments. The bond matures in $20$ years, with a yield to maturity of $3\mathrm{.}77$ percent, and a par value of $$5,000.$ What is the market price of the bond?

Multiple Choice

$$5,291\mathrm{.}30$

$$5,301\mathrm{.}26$

$$5,293\mathrm{.}11$

$$5,308\mathrm{.}23$

$$5,398\mathrm{.}97$