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Review of Financial Studies 2026

Universal Portfolio Shrinkage

Bryan Kelly1; Semyon Malamud2,3; Mo Pourmohammadi4; Fabio Trojani5

1 Yale School of Management, AQR Capital Management, and NBER , the · 2 Swiss Finance Institute and EPFL , Switzerland, and , London · 3 CEPR , Switzerland, and , London · 4 Yale School of Management , the · 5 University of Geneva and Swiss Finance Institute

open access

Abstract

We introduce a nonlinear covariance shrinkage method for building optimal portfolios. Our universal portfolio shrinkage approximator (UPSA) is built from closed-form basis portfolios, is cheap to implement, and improves on existing shrinkage methods. Rather than uniformly penalizing all principal components of returns or discarding low-variance ones, UPSA instead reweights components to explicitly optimize expected out-of-sample portfolio performance. In empirical applications using a large cross-section of anomaly factors, it delivers robust improvements over alternative shrinkage methods in the literature.

DOI
10.1093/rfs/hhag084
Language
en
Sources
crossref openalex

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