Suppose a $3-$year, $$$$1,000$ bond with a $4\mathrm{.}48\%$ coupon rate and annual coupons is trading with a yield to maturity of $2\mathrm{.}29\%.$

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

b$.$ If the yield to maturity of the bond rises to $2\mathrm{.}37\%($with annual$$ coupons$),$ at what price will the bond$$ trade?