You decide to buy call options based on an ETF that tracks the S&P $500$ Index. The option is American and the strike price of the option is $$102.$ That is$,$ at any time, you can exercise the option and buy this ETF from the option seller at $$102.$ The premium of the call option is $$2$ per share, i$.$e$.,$ if you spend $$2,$ you buy $1$ share of the option contract which allows you to buy $1$ share of the ETF should you decide to do it$.$ You decide to go all in and buy this call option as much as possible.

The S&P $500$ Index earns a return of $3\mathrm{.}53\%,-4\mathrm{.}68\%,$ and $7\mathrm{.}27\%$ for the next three days.