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papa2fire's avatar

Very good article — I agree with most of your conclusions.

However, I think there are two conceptual issues worth clarifying:

1. The mean doesn’t imply that half of investors must be below it. A distribution can be very skewed — many slightly below average and a few far above. In fact, that’s exactly how the distribution of individual stock returns looks: many slightly underperform the average, and a few massively outperform it. Why should the distribution of fund returns (baskets of those same stocks) be any different?

2. It’s also not strictly correct to say that before costs, what one active investor outperforms, another must underperform. Active management as a whole is not necessarily a zero-sum game, as Sharpe’s arithmetic suggested. In principle, the active segment could collectively outperform the index if it allocates capital more efficiently (taking advantage of corporate events and net fund flows). I just wrote about this, summarizing Pedersen’s response and reinterpreting the Gotrocks family story: https://sudapollismo.substack.com/p/gestion-activa-no-suma-cero

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