An $8\%$ coupon U$.$S$.$ Treasury note pays interest on May $30$ and November $30$ and is traded for settlement on August $15.$ The accrued interest on the $$100,000$ face value of this note, assuming a semiannual coupon period of $182$ days, is:

Multiple Choice

$$1,692\mathrm{.}31.$

$$800\mathrm{.}00.$

None of the options are correct.

$$491\mathrm{.}80.$

$$983\mathrm{.}61.$