dan smith purchased a Treasury bond this morning for $$93\mathrm{.}92($$$100$ face value$).$ The bond had $8\mathrm{.}5$ years to maturity on the purchase date and the coupon rate was $7\%.$ Coupons are paid semi$-$annually. The bond can be called $2$ years after it is purchased by Mr$.$ msith for $$101\mathrm{.}15$ per $$100$ of face. Mr$.$ smith sells the bond exactly three years after purchase $($He receives the $6$th coupon and sells the bond$).$ Determine the yield to maturity at which Mr$.$ smith must sell the bond such that he earns a realized return of $10\%($APR$)$