Shrinking Factor Dimension: A Reduced-Rank Approach

62 Pages Posted: 23 Jul 2018 Last revised: 17 Jun 2021

See all articles by Ai He

Ai He

University of South Carolina - Darla Moore School of Business

Dashan Huang

Singapore Management University - Lee Kong Chian School of Business

Jiaen Li

Washington University in St. Louis

Guofu Zhou

Washington University in St. Louis - John M. Olin Business School

Date Written: December 17, 2019

Abstract

We apply a reduced-rank approach to reduce a large number of observable factors to a few parsimonious ones. Out of 70 factor proxies, we find that the best five combinations seem adequate and outperform the Fama-French (2015) five factors for pricing industry portfolios as expected. However, they do not improve much for pricing individual stocks. Our results suggest that new factors are wanted to reduce the pricing errors at the firm level.

Keywords: reduced rank, PCA, PLS, factors, factor model, cross section

JEL Classification: G1, G11, G12, G17

Suggested Citation

He, Ai and Huang, Dashan and Li, Jiaen and Zhou, Guofu, Shrinking Factor Dimension: A Reduced-Rank Approach (December 17, 2019). Available at SSRN: https://ssrn.com/abstract=3205697 or http://dx.doi.org/10.2139/ssrn.3205697

Ai He

University of South Carolina - Darla Moore School of Business ( email )

1014 Greene Street
Columbia, SC 29208
United States

HOME PAGE: http://www.aihefinance.com/

Dashan Huang

Singapore Management University - Lee Kong Chian School of Business ( email )

50 Stamford Road
Singapore, 178899
Singapore

HOME PAGE: http://dashanhuang.weebly.com/

Jiaen Li

Washington University in St. Louis ( email )

One Brookings Drive
Campus Box 1208
Saint Louis, MO MO 63130-4899
United States

Guofu Zhou (Contact Author)

Washington University in St. Louis - John M. Olin Business School ( email )

Washington University
Campus Box 1133
St. Louis, MO 63130-4899
United States
314-935-6384 (Phone)
314-658-6359 (Fax)

HOME PAGE: http://apps.olin.wustl.edu/faculty/zhou/

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