b$.$ Suppose a seven$-$year, $$1000$ bond with a $10\mathrm{.}46\%$ coupon rate and semiannual coupons is trading with a yield to maturity of $8\mathrm{.}78\%.$

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

ii$.$ If the yield to maturity of the bond rises to $9\mathrm{.}54\%($APR with semiannual compounding$),$ at what price will the bond trade?