March 2024

Linear Factor Models and the Estimation of Expected Returns

Cisil Sarisoy, Peter de Goeij, and Bas J.M. Werker

Abstract:

This paper analyzes the properties of expected return estimators on individual assets implied by the linear factor models of asset pricing, i.e., the product of β and λ. We provide the asymptotic properties of factor-model-based expected return estimators, which yield the standard errors for risk premium estimators for individual assets. We show that using factor-model-based risk premium estimates leads to sizable precision gains compared to using historical averages. Finally, inference about expected returns does not suffer from a small-beta bias when factors are traded. The more precise factor-model-based estimates of expected returns translate into sizable improvements in out-of-sample performance of optimal portfolios.

Keywords: Cross Section of Expected Returns, Risk Premium, Small β's

DOI: https://doi.org/10.17016/FEDS.2024.014

PDF: Full Paper

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Last Update: March 28, 2024