Non-Linear Factor Returns in the U.S. Equity Market

1 Pages Posted: 31 Jan 2024 Last revised: 26 Mar 2024

See all articles by Roger Clarke

Roger Clarke

Independent

Harindra De Silva

Allspring Global Investments

Steven Thorley

BYU Marriott School of Business

Date Written: January 29, 2024

Abstract

We examine non-linear return-to-characteristic relationships for five equity market factors: Value, Momentum, Small Size, Low Beta, and Profitability. Our study employs monthly returns and characteristics for the largest one thousand U.S. stocks from 1964 to 2023 with a focus on average active returns over the last twenty years. Beyond simplicity in modeling the return generating process we find no reason to assume a linear relationship between characteristics and security returns. Allowance for non-linearity leads to increases in Information Ratios for some factor portfolios neutralized with respect to non-linear exposure to the other factors. The return to the pure Profitability characteristic across stocks is highly non-linear, as is the alpha return within the Low Beta portfolio. Non-linearity of the Small Size return across the largest one thousand stocks is complex and changed around the turn of the century. In contrast, over the last twenty years, the return to earnings yield has been linear and flat across the entire Value spectrum.

Keywords: Equity Market Factors, Non-Linear Return, Pure Factor Portfolios, Value Factor, Price Momentum, Small Size Effect, Low Beta/Risk Anomaly, Profitability/Quality Factor

JEL Classification: C1, C3, C5, D5, D8, G1, G4

Suggested Citation

Clarke, Roger and De Silva, Harindra and Thorley, Steven, Non-Linear Factor Returns in the U.S. Equity Market (January 29, 2024). Financial Analysts Journal, volume 80, issue 3, 2024 [10.1080/0015198X.2024.2351020], Available at SSRN: https://ssrn.com/abstract=4709397 or http://dx.doi.org/10.1080/0015198X.2024.2351020

Roger Clarke

Independent

Harindra De Silva

Allspring Global Investments

Steven Thorley (Contact Author)

BYU Marriott School of Business ( email )

616 TNRB
Brigham Young University
Provo, UT 84602
United States
801-378-6065 (Phone)
801-378-5984 (Fax)

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