On February $2018,$ the Treasury offered a semiannually compounded $6\mathrm{.}0\%20-$year bond with a yield to maturity of $3\mathrm{.}60\%($annual rate$).$ Recognizing that coupons are paid semiannually,

a$)$ Calculate the bond's price as of February $2018.(1\mathrm{.}5$ Points$)$

b$)$ Calculate the bond's price as of February $2023$ after ten coupon payments have already been made. $($Assume everything else stays the same$).(1\mathrm{.}5$ Points$)$