A Revised Comparison between Fama and French Five-Factor Model and Three-Factor Model——Based on China's A-Share Market
PDF

Keywords

Asset pricing
A-share market
Five-factor model
Empirical research

How to Cite

Zhang, Z. ., Yu, Y. ., Ma, Q., & Yao, H. . (2022). A Revised Comparison between Fama and French Five-Factor Model and Three-Factor Model——Based on China’s A-Share Market. Journal of Advances in Applied & Computational Mathematics, 9, 168–180. https://doi.org/10.15377/2409-5761.2022.09.13

Abstract

In allusion to some contradicting results in existing research, this paper selects China's latest stock data from 2005 to 2020 for empirical analysis. In this paper, the redundant factors (HML, CMA) are orthogonalized, and the regression analysis of the 5*5 portfolio of Size-B/M and Size-Inv is carried out with these two orthogonalized factors. It found that the HML and the CMA are still significant in many portfolios, indicating that they have a strong explanatory ability, which is also consistent with the results of GRS test. All these show that the five-factor model has a better ability to explain the excess return rate. Then, we analyze the possible reasons for the strong explanatory ability of the HML, CMA, and RMW from the aspects of price-to-book ratio, turnover rate, and correlation coefficient. We also explain the results and analyze China's stock market policy changes and investors' investment style in recent years.

https://doi.org/10.15377/2409-5761.2022.09.13
PDF

References

Sharpe WF. Capital asset prices: A theory of market equilibrium under conditions of risk. J Finance 1964; 19: 425-42. https://doi.org/10.2307/2977928

Lintner J. The valuation of risk assets and the selection of risky investments in stock portfolios and capital budgets. Rev Econ Stat. 1965; 47: 13-37. https://doi.org/10.2307/1924119

Mossin J. Equilibrium in a capital asset market. Econometrica 1966; 34: 768-83. https://doi.org/10.2307/1910098

Longzhen F, Yaowen S. Trading volume, ratio A-share to total shares, momentum effect and three-factor model. J Manag Sci China 2004; 3: 13-22.

Fama EF, French KR. Common risk factors in the returns on stocks and bonds. J Financ Econ. 1993; 33: 3-56. https://doi.org/10.1016/0304-405X(93)90023-5

Griffin JM. Are the Fama and French factors global or country-specific? Rev Financ Stud. 2001; 15: 783-803. https://doi.org/10.2139/ssrn.262647

Cao Q, Leggio KB, Schniederjans MJ. A comparison between Fama and French’s model and artificial neural networks in predicting the Chinese stock market. Comput Oper Res. 2005; 32: 2499-512. https://doi.org/10.1016/j.cor.2004.03.015

Novy-Marx R. The other side of value: The gross profitability premium. J Financ Econ. 2013; 108: 1-28. https://doi.org/10.1016/j.jfineco.2013.01.003

Aharoni G, Grundy B, Zeng Q. Stock returns and the Miller Modigliani valuation formula: Revisiting the Fama French analysis. J Financ Econ. 2013; 110: 347-57. https://doi.org/10.1016/j.jfineco.2013.08.003

Fama EF, French KF. Dissecting anomalies. J Finance 2008; 63: 1653-78. https://doi.org/10.1111/j.1540-6261.2008.01371.x

Fama EF, French KR. Profitability, investment and average returns. J Financ Econ. 2006; 82: 491-518. https://doi.org/10.1016/j.jfineco.2005.09.009

Fama EF, French KR. A five-factor asset pricing model. J Financ Econ. 2015; 116: 1-22. https://doi.org/10.1016/j.jfineco.2014.10.010

Fama EF, French KR. Dissecting anomalies with a five-factor model. Rev. Financ Stud. 2016; 29: 69-103. https://doi.org/10.1093/rfs/hhv043

Foye J. A comprehensive test of the Fama-French five-factor model in emerging markets. Emerg Market Rev. 2018; 37: 199-222. https://doi.org/10.2139/ssrn.3051198

Cox S, Britten J. The Fama-French five-factor model: Evidence from the Johannesburg stock exchange. Invest Anal J. 2019; 48: 240-61. https://doi.org/10.1080/10293523.2019.1647982

Dirkx P, Peter FJ. The Fama-French five-factor model plus momentum: Evidence for the German market. Schmalenbach Business Rev. 2020; 72: 661-84. https://doi.org/10.1007/s41464-020-00105-y

Foye J, Valentinčič A. Testing factor models in Indonesia. Emerg Market Rev. 2020; 42: 100628. https://doi.org/10.1016/j.ememar.2019.100628

López-García MN, Trinidad-Segovia JE, Sánchez-Granero MA, Pouchkarev I. Extending the Fama and French model with a long term memory factor. Eur J Oper Res. 2021; 291: 421-6. https://doi.org/10.1016/j.ejor.2019.07.071

Zhao S, Yan H, Zhang K. Does Fama-French five factor model outperform three factor model? Evidence from China’s A-Share market. Nankai Econ Stud. 2016; 31: 41-59.

Guo B, Zhang W, Zhang Y, Zhang H. The five-factor asset pricing model tests for the Chinese stock market. Pacific-Basin Finance J. 2017; 43: 84-106. https://doi.org/10.1016/j.pacfin.2017.02.001

Li Z, Yang G, Feng Y, Jing L. Fama-French five factor model in China stock market. J Financ Res. 2017; 6: 191-206.

Jiao W, Lilti J-J. Whether profitability and investment factors have additional explanatory power comparing with Fama-French three-factor model: empirical evidence on Chinese A-share stock market. China Finance Econ Rev. 2017; 5: 1-19. https://doi.org/10.1186/s40589-017-0051-5

Liu J, Stambaugh RF, Yuan Y. Size and value in China. J Financ Econ. 2019; 134: 48-69. https://doi.org/10.1016/j.jfineco.2019.03.008

Tian L, Wang G, Zhang W. Three factor model pricing: what is the difference between China and the United States. Stud Int Finance 2014;14: 37-45.

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Copyright (c) 2022 Zhijing Zhang, Yue Yu, Qinghua Ma, Haixiang Yao