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by kgwgk 1899 days ago
We agree!

The point was that you didn't specify "almost surely" previously, that's why I asked for a proof to understand what did you mean exactly when you said that "everyone goes bankrupt and will never recover" and "or "there is a finite time after which no-one ever passes above $0.0000000000000001".

The mean of a random variable that is close to zero is close to zero, the mean of a random variable that is almost surely close to zero can be anything.