This is further proof to me that the “shannon’s demon” crowd are actually insane.
Gross of tcost is fine. I’m still waiting for a description of the strategy though?
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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.
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Ok, just for the record the way I defined "pure randomness" was incorrect because R has a zero arithmetic mean. If (1+R) is pure noise with a *geometric* mean of 1, which means the stock goes nowhere long term, you can get very rich off it.
End of conversation
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