Suppose a$$ seven$-$year, $$$$1,000$ bond with a coupon rate of $8\mathrm{.}2\%$ and semiannual coupons is trading with a yield to maturity of $6\mathrm{.}66\%.$ a$.$ Is this bond currently trading at a$$ discount, at$$ par, or at a$$ premium? Explain. b$.$ If the yield to maturity of the bond rises to $7\mathrm{.}41\%($APR with semiannual$$ compounding$),$ what price will the bond trade$$ for? Question content area bottom Part $1$ a$.$ Is this bond currently trading at a$$ discount, at$$ par, or at a$$ premium? Explain. $($Select the best choice$$ below.$)$ A$.$ Because the yield to maturity is greater than the coupon$$ rate, the bond is trading at par. B$.$ Because the yield to maturity is less than the coupon$$ rate, the bond is trading at a discount. C$.$ Because the yield to maturity is less than the coupon$$ rate, the bond is trading at a premium. Your answer is correct. D$.$ Because the yield to maturity is greater than the coupon$$ rate, the bond is trading at a premium. Part $2$ b$.$ If the yield to maturity of the bond rises to $7\mathrm{.}41\%($APR with semiannual$$ compounding$),$ what price will the bond trade$$ for? The new price of the bond is $$$enter your response here. $($Round to the nearest$$ cent.$)$