A long$-$term bond has $20$ years to maturity, and coupon rate of $6\%.$ The bond makes semiannual coupon payments and has a face value of $$1,000.$ If the yield to maturity on these bonds is $7\mathrm{.}2\%,$ what is their current price?

A$.$ $$387\mathrm{.}83$

B$.$ $$452\mathrm{.}82$

C$.$ $$843\mathrm{.}66$

D$.$ $$873\mathrm{.}83$

E$.$ $$874\mathrm{.}82$