Suppose a$$ seven$-$year, $ $1,000$ bond with a $7\mathrm{.}6\%$ coupon rate and semiannual coupons is trading with a yield to maturity of $6\mathrm{.}53\%.$

a$.$ Is this bond currently trading at a$$ discount, at$$ par, or at a$$ premium? Explain.

b$.$ If the yield to maturity of the bond rises to $7\mathrm{.}33\%($APR with semiannual$$ compounding$),$ what price will the bond trade$$ for?