Calculate the premium or discount on the sale of a $25-$year, $$1,000$ Province of Quebec bond that was issued $16$ years ago with a coupon rate of $6\%$ and is trading today at a yield rate of $8\mathrm{.}5\%($compounded semiannually$).$

Multiple Choice

$$171\mathrm{.}92$ premium

$$155\mathrm{.}07$ discount

$$254\mathrm{.}86$ premium

$$216\mathrm{.}48$ discount

$$317\mathrm{.}99$ premium