Calculate the premium or discount on the sale of a $20-$year, $$10,000$ Rogers Communications Corp. bond that was issued nine years ago with a coupon rate of $9\%$ and is trading today at a yield rate of $8\mathrm{.}0\%($compounded semiannually$).$

Multiple Choice

$$632\mathrm{.}96$ premiumIncorrect

$$159\mathrm{.}23$ discount

$$220\mathrm{.}73$ premium

$$689\mathrm{.}22$ discount

$$722\mathrm{.}56$ premium