What is the price per $$100$ of face value of a T$-$Bill with a bank$-$discount yield of $4\mathrm{.}00\%$ and

$80$ days remaining until maturity?

$$97\mathrm{.}6667$ per $$100$ of face value.

$$98\mathrm{.}8888$ per $$100$ of face value.

$$100\mathrm{.}3312$ per $$100$ of face value.

$$99\mathrm{.}1111$ per $$100$ of face value.

$$94\mathrm{.}5000$ per $$100$ of face value.