Wilson Corporation must pay its South Korean supplier $1250$ million in six months. It is thinking of buying $10$ won call options $($contract size is $125$ million$)$ at a strike price of $$0\mathrm{.}000800$ in order to protect against the risk of a rising won. The premium is $0\mathrm{.}0015$ cents per won. Alternatively, Wilson could buy $10$ six$-$month won futures contracts $($contract size is $125$ million$)$ at a price of $$0\mathrm{.}0007940$ per won. The current spot rate is $1=$ $$0\mathrm{.}0007823.$ Suppose Wilson$$s treasurer believes that the most likely value for the won in $180$ days is $$0\mathrm{.}0007900,$ but the won could go as high as $$0\mathrm{.}0008400$ or as low as $$0\mathrm{.}0007500.$ a$)$ Calculate Wilson's maximum gains and losses on the call option position and the futures position within its range of expected prices. Ignore transaction costs and margins.

b$)$ Calculate what Wilson would gain or lose on the option and futures positions if the South Korean won settled at its most likely value.

c$)$ What is Wilson's break$-$even future spot price on the option contract? On the futures contract?