Harpeth Valley Water District has a bond outstanding with a coupon rate of $3\mathrm{.}95$ percent and semiannual payments. The bond matures in $23$ years, with a yield to maturity of $3\mathrm{.}71$ percent, and a par value of $$5,000.$ What is the market price of the bond?

Multiple Choice

$$5,192\mathrm{.}55$

$$5,199\mathrm{.}39$

$$5,184\mathrm{.}58$

$$5,183\mathrm{.}51$

$$5,288\mathrm{.}27$