$($Mini$-$case$)$ A speculator is considering the purchase of $5$ three$-$month Japanese yen PUT options with a striking price of $96$ cents $($ $$0\mathrm{.}96)$ per $100$ yen. The premium is $1\mathrm{.}4$ cents per $100$ yen. The spot price is $97$ cents per $100$ yen and the $90-$day forward rate is $95\mathrm{.}71$ cents per $100$ yen. The speculator believes the exchange rate will be $91$ cents per $100$ yen over the next three months. $($Note the size of one yen contract is $1,000,000).$ As the speculator's assistant, determine the speculator's profit if the exchange rate is indeed $91$ cents per $100$ yen $($Please keep one decimal, eg$.,1,500\mathrm{.}4.$ There is no need to use currency symbol in this question since your balance is measured in US $$).$

$$