The available two$-$year par yield curve for the six$-$monthly periods curve is $5\mathrm{.}8\%,6\mathrm{.}0\%,6\mathrm{.}3\%$ and $6\mathrm{.}7\%,$ consecutively. You are considering the purchase of a $4\%$ semi$-$annual coupon bond that matures in two years' time. Construct the six$-$month zero$-$coupon rates for the two$-$year period and calculate the fair value of the $4\%$ coupon bond.