Problem $3$: Zero$-$coupon vs Coupon

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 $$500$ currently sells for $$436\mathrm{.}72.$

Estimate the yield to maturity of the $1-$year zero$-$coupon bond.

Estimate the yield to maturity of the $2-$year zero$-$coupon bond.

Using the yields you estimated in $(1)$ and $(2),$ price a $2-$year coupon bond with $F=$$$800$ and $c=8\%($paid annually$).$

Is the yield$-$to$-$maturity of the coupon bond above, below or exactly $8\%?$