$(15$ points$)$ A treasury bond with a time to maturity of $7$ years and a coupon rate of $3\mathrm{.}84\%($paid annually$)$ is trading at par. Suppose you are considering investing in a $7-$year maturity bond issued by the $3$M Company, with a coupon rate of $3\mathrm{.}84\%($also paid annually$).$ Should this $3$M bond trade at a premium, at par, or at a discount? Should this $3$M bond's YTM be higher or lower than $3\mathrm{.}84\%?$