$$10,000$ face value T$-$bill has a $2\mathrm{.}65$ percent discount quote and $180-$day maturity. What is the price of the T$-$bill?

$$9,862\mathrm{.}50$

$$9,864\mathrm{.}36$

$$9,869\mathrm{.}23$

$$9,867\mathrm{.}50$