Calculate the price of a $90-$day bill with a par $($face$)$ value of $$100,000$ if the interest rate per annum is $4\mathrm{.}35\%$ according to $1)$ Australian conventions $(365-$day year$)$ and $2)$ US conventions $(360-$day year$).$

Group of answer choices

AU: $98,912\mathrm{.}50$; US: $98,938\mathrm{.}78$

AU: $98,938\mathrm{.}78$; US: $98,924\mathrm{.}20$

AU: $98,938\mathrm{.}78$; US: $98,912\mathrm{.}50$