$20.$ A bond has a par value of $$1,000,$ a coupon rate of $5\%($paid annually$),$ and a maturity of $3$ years. If the yield to maturity for the bond is $6\%,$ what is the price of the bond?

a$.$ $$1,000\mathrm{.}00$

b$.$ $$1,015\mathrm{.}23$

c$.$ $$950\mathrm{.}14$

d$.$ $$1,050\mathrm{.}00$

e$.$ $$973\mathrm{.}27$