IBM $($US$)$ is considering the money market hedging strategy to hedge its accounts payable $($AP$)$ worth $1$ million yen due in $90$ days. It has the following information. The $1$ year interest rates are: $5\%($US$)$ and $1\%($Japan$).$ The current spot rate is Yen $78\mathrm{.}03$ per USD. What would be the dollar value of the AP in $90$ days from now assuming a money market hedging strategy?

Question $3$ options:

$$81,121$

$$11,975$

$$12,574$

$$12,943$