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A Test for the Number of Factors in an Approximate Factor Model

A Test for the Number of Factors in an Approximate Factor Model ABSTRACT An important issue in applications of multifactor models of asset returns is the appropriate number of factors. Most extant tests for the number of factors are valid only for strict factor models, in which diversifiable returns are uncorrelated across assets. In this paper we develop a test statistic to determine the number of factors in an approximate factor model of asset returns, which does not require that diversifiable components of returns be uncorrelated across assets. We find evidence for one to six pervasive factors in the cross‐section of New York Stock Exchange and American Stock Exchange stock returns. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Journal of Finance Wiley

A Test for the Number of Factors in an Approximate Factor Model

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References (30)

Publisher
Wiley
Copyright
1993 The American Finance Association
ISSN
0022-1082
eISSN
1540-6261
DOI
10.1111/j.1540-6261.1993.tb04754.x
Publisher site
See Article on Publisher Site

Abstract

ABSTRACT An important issue in applications of multifactor models of asset returns is the appropriate number of factors. Most extant tests for the number of factors are valid only for strict factor models, in which diversifiable returns are uncorrelated across assets. In this paper we develop a test statistic to determine the number of factors in an approximate factor model of asset returns, which does not require that diversifiable components of returns be uncorrelated across assets. We find evidence for one to six pervasive factors in the cross‐section of New York Stock Exchange and American Stock Exchange stock returns.

Journal

The Journal of FinanceWiley

Published: Sep 1, 1993

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