A zero$-$coupon bond with maturity $1$ year and face value $$1,000$ currently sells for $$952\mathrm{.}38.$ A zero$-$coupon bond with maturity $2$ years and face value $$500$ currently sells for $$428\mathrm{.}67.1.$ Estimate the yield to maturity of the $1-$year zero$-$coupon bond. $2.$ Estimate the yield to maturity of the $2-$year zero$-$coupon bond. $3.$ Using the yields you estimated in $(1)$ and $(2),$ price a $2-$year coupon bond with F $=$ $$800$ and c $=8\%($paid annually$).4.$ Is the yield$-$to$-$maturity of the coupon bond above, below or exactly $8\%?$