Bond A has a face value of $$10,000,$ makes semiannual coupon payments of $$450$ and will mature in $13$ years. It currently sells for $$9,459\mathrm{.}88.$ Bond B is a corporate bond whose price is quoted at $96\mathrm{.}69$ this afternoon. It will mature in exactly $6$ years. Bonds A and B are priced so that they each have the same yield. What is the YTM for these two bonds, and what is the coupon rate for Bond B$?$