You decide to purchase a zero$-$coupon bond for $$775.$ The bond has a face value of $$1,000$ and matures in $8$ years. What is the bond's YTM$?$

A$.3\mathrm{.}18\%$

B$.3\mathrm{.}21\%$

C$.3\mathrm{.}24\%$

D$.3\mathrm{.}31\%$

E$.3\mathrm{.}40\%$