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Cross-Sectional Factor Models and Covariance Shrinkage: Barra Risk Models, Fama-French to Modern Anomalies, Ledoit-Wolf Shrinkage, and Random Matrix Theory (Marchenko-Pastur)
Welcome to The Deep End. This is Episode four hundred thirty-six: Cross-Sectional Factor Models and Covariance Shrinkage: Barra Risk Models, Fama-French to Modern Anomalies, Ledoit-Wolf Shrinkage, and Random Matrix Theory (Marchenko-Pastur). Suppose you are the Chief Risk Officer or Head of Quantitative Equity Research at an institutional asset manager overseeing a universe of $N = 3,000$ global equities. To run any portfolio optimizer, calculate tracking error, hedge market and sector exposures, or size active bets, you need two mathematical objects every afternoon: 1. A Covariance Matrix…
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