Today, you bought a $2-$year zero$-$coupon security that pays you $$60$ at the end of

year $2.$ The zero$-$coupon bond is stripped from a coupon$-$bearing debt security. The

applicable one$-$year spot rate for this debt security is $5\mathrm{.}5\%.$ Suppose in the second

year, the real rate is $0\mathrm{.}7\%,$ the inflation premium is $6\%$ and the maturity risk

premium is $0\mathrm{.}3\%.$ What is the price of the zero$-$coupon security today?

A$.49\mathrm{.}19$

B$.50\mathrm{.}01$

C$.52\mathrm{.}11$

D$.53\mathrm{.}15$

E$.58\mathrm{.}01$