Problem $4$: Zero$-$coupon vs Coupon

A zero$-$coupon bond with maturity $1$ year and face value $$100$ currently sells for $$94\mathrm{.}34.$ A zerocoupon bond with maturity $2$ years and face value $$500$ currently sells for $$462\mathrm{.}25.$

$1.$ 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 $=5\%($paid annually$).$

$4.$ Is the yield$-$to$-$maturity of the coupon bond above, below or exactly $5\%?$