Simple Returns vs Log Returns foundational

One aggregates exactly across assets, the other aggregates exactly across time. Most mistakes come from asking one definition to do both jobs.

One aggregates exactly across assets, the other aggregates exactly across time. Most mistakes come from asking one definition to do both jobs.

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References

The Elements of Quantitative Investing
Giuseppe A. Paleologo (2025) — John Wiley & Sons
A New Interpretation of Information Rate
J. L. Kelly — WORLD SCIENTIFIC
Empirical properties of asset returns: stylized facts and statistical issues
R. Cont (2001) — Quantitative Finance