Time Instability of the Fama-French Multifactor Models: An International Evidence

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Main Authors: Moriya, Koichiro, Noda, Akihiko
Format: Preprint
Published: 2022
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author Moriya, Koichiro
Noda, Akihiko
author_facet Moriya, Koichiro
Noda, Akihiko
contents This paper investigates the time-varying structure of Fama and French's (1993; 2015) multi-factor models using Fama and MacBeth's (1973) two-step estimation based on the rolling window method. In particular, we employ the generalized GRS statistics proposed by Kamstra and Shi (2024) to examine whether the validity of the risk factors (or factor redundancy) in the FF3 and FF5 models remains stable over time, and investigate whether the manner of portfolio sorting affects the time stability of the validity of the risk factors. In addition, we examine whether the similar results are obtained even when we use different datasets by country and region. First, we find that the effectiveness of factors in the FF3 and FF5 models is not stable over time in all countries. Second, the effectiveness of factors is also affected by the manner of portfolio sorting. Third, the validity of the FF3, FF5, and their nested models do not remain stable over time except for Japan. This suggests that the efficient market hypothesis is supported in the Japanese stock market. Finally, the factor redundancy varies over time and is affected by the manner of portfolio sorting mainly in the U.S. and Europe.
format Preprint
id arxiv_https___arxiv_org_abs_2208_01270
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Time Instability of the Fama-French Multifactor Models: An International Evidence
Moriya, Koichiro
Noda, Akihiko
Statistical Finance
General Economics
Economics
Pricing of Securities
This paper investigates the time-varying structure of Fama and French's (1993; 2015) multi-factor models using Fama and MacBeth's (1973) two-step estimation based on the rolling window method. In particular, we employ the generalized GRS statistics proposed by Kamstra and Shi (2024) to examine whether the validity of the risk factors (or factor redundancy) in the FF3 and FF5 models remains stable over time, and investigate whether the manner of portfolio sorting affects the time stability of the validity of the risk factors. In addition, we examine whether the similar results are obtained even when we use different datasets by country and region. First, we find that the effectiveness of factors in the FF3 and FF5 models is not stable over time in all countries. Second, the effectiveness of factors is also affected by the manner of portfolio sorting. Third, the validity of the FF3, FF5, and their nested models do not remain stable over time except for Japan. This suggests that the efficient market hypothesis is supported in the Japanese stock market. Finally, the factor redundancy varies over time and is affected by the manner of portfolio sorting mainly in the U.S. and Europe.
title Time Instability of the Fama-French Multifactor Models: An International Evidence
topic Statistical Finance
General Economics
Economics
Pricing of Securities
url https://arxiv.org/abs/2208.01270