On September $2024,$ the Treasury offered a semiannually compounded $15-$year bond with a coupon rate of $6\%$ and a yield to maturity of $4\mathrm{.}20\%($both annual rates$).$ Recognizing that coupons are paid semiannually,

A$)$ Calculate the bond's price as of September $2024.(1\mathrm{.}5$ Points$)$

B$)$ Calculate the bond$$s price as of September $2029$ immediately after the tenth coupon payment has been made. $($Assume everything else stays the same$).(1\mathrm{.}5$ Points$)$