Jane StreetTraderTradingQuestion #462

You begin with $100. You flip a fair coin. For each heads, you gain $1. For each tails, your current amount of money is inverted (i.e., after the first tails, if you previously had $x, your new amount is $1/x). What is the expected value of your money after 7 flips? (Hint: use recursion)

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