Suppose that a $1-$year zero$-$coupon bond with face value $100$ currently sells at $94\mathrm{.}34,$ while a $2-$year zero sells at $84\mathrm{.}99.$ You are considering the purchase of $2-$year bond making annual coupon payments. The face value of the bond is $100$ and the coupon rate is $12\%$ per year.

a$)$ What are the yields of the two zeros, and what is the price of the $2-$year coupon bond?