SIG (Susquehanna)–styleTraderQuantitative TraderQuestion #63

You have $100 and receive an additional $100 to play a casino game where you bet on flips of a fair coin, with a 4:5 payout. You are required to bet a total of at least $500 before you can cash out. How do you maximize your expected earnings?

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State the assumptions, try a simple case, then work toward a general solution. Check the result and explain how it changes if an assumption changes.

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