Here's the strat. Let's say we have a portfolio of 50% cash / 50% your simulated stock. At the end of each day, rebalance this portfolio back to 50/50. Basically, you buy more stock if it goes down and sell some if it went up that day. Let me know the returns you see.
If you shorted the stock (even in a nice, frictionless theoretical work) the vol drag still works against you, because it's a quadratic term (i.e. it is not sensitive to sign) In the real world you would lose money even faster because *gestures at real-world frictions*
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It’s the negative of a quadratic, so you can flip the sign
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Here are the simulated results for holding either 50% long weight or 50% short weight (rebalanced every day) in a stock with arithmetic return zero.pic.twitter.com/6NP9fK3kWU
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