Suppose a$$ seven$-$year, $$$$1$ comma $0001,000$ bond with a coupon rate of $7\mathrm{.}7\%7\mathrm{.}7\%$ and semiannual coupons is trading with a yield to maturity of $6\mathrm{.}67\%6\mathrm{.}67\%.$ a$.$ Is this bond currently trading at a$$ discount, at$$ par, or at a$$ premium? Explain. b$.$ If the yield to maturity of the bond rises to $7\mathrm{.}25\%7\mathrm{.}25\%($APR with semiannual$$ compounding$),$ what price will the bond trade$$ for?