$9\mathrm{.}7($Calculating yield to maturity$)($Related to Checkpoint $9\mathrm{.}2$ on page $298)$ The market price is $$400$ for an $8-$year bond $($$$500$ par value$)$ that pays $4$ percent annual interest but makes interest payments on a semiannual basis $(2$ percent semiannually$).$ What is the bond$$s yield to maturity?

NOT IN EXCEL, INCLUDE STEPS