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Research Findings

What 517 Series Tell You: Fat Tails Are Universal, and So Are Data Artifacts

July 12, 2026

Running the same statistical tests across 502 stocks, 5 indices, and 10 Treasury/credit series confirms fat tails everywhere, but also surfaces a quieter finding: the most "extreme" stocks by the numbers usually aren't extreme at all, they're data artifacts from mergers and spinoffs.

equities bonds statistics data-quality phase-1

A Century of S&P 500 Returns: The Normal Distribution Doesn't Fit

July 12, 2026

Daily S&P 500 returns since 1927 are far from normally distributed, with heavier tails, negative skew, and a return profile shaped disproportionately by a handful of extreme days. What that means for anyone modeling market risk.

equities statistics risk phase-1