With some additional robustness checks and careful implementation of a simulator for fill prices, commissions etc you are well on your way to launching your first quant strategy.
Mean zero is the *best case* for the strategy I described! If mean > 0 then a reversion strategy is short more often than long so it would lose money. If mean < 0 then a reversion strategy is long more than it is short so it would lose money.
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This is such a weird argument to be having. I literally generated some random data and people want to tell me you can develop profitable trading strategies for it. Is this what going insane feels like?
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Sometimes the real world feels insane. If you generated completely random zero-mean R and *multiplied* (1+R) by itself repeatedly - you'd have complete noise that you could become incredibly rich off of. Sorry, but it's true. Don't kill the messenger.
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