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Either way, I think this is a bit of a silly criticism... especially since E[log(X)] ≤ log(E[X]) by concavity of log, so the log-expected wealth grows at least as fast as the expected log-wealth, so this *also* provides a lower bound for the quantity you want.
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I agree with the last point (and so find the whole discussion about the terribly named "impermanent loss" stupid). But I think your first point is nit picking. Log utilities are a pretty standard economic assumption, and is more realistic than the gbrownian motion assupmptions
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