You are purchasing a $20$ yrs$,$ zero $-$coupon bond the yield maturity is $8\mathrm{.}68\%$ and the face value is $$1000\mathrm{.}00.$ What is the current market price?

A$)$$$106\mathrm{.}67$B$)$$$108\mathrm{.}18$ C$)$$$182\mathrm{.}80$ D$)$$$221\mathrm{.}50$ E$)$$$228\mathrm{.}47.$ Please show the solution