机器学习方法下的 CAPM 与 Fama-French 三因子模型比较

B. T. Khoa, T. Huynh
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摘要

随着近年来经济的快速增长,越来越多的个人开始冒险进入股市。准确的预测收益率可以降低股票投资者的投资风险,显著提高投资者的投资收益。资本资产定价模型(CAPM)和三因素Fama-French模型(FF3)在学术界和实践中都得到了广泛的认可。这种模型比较为分析无效市场中投资组合风险与收益之间的关系提供了框架。本研究利用支持向量回归(SVR)算法预测河内股票市场(HNX)多元化投资组合2010年至2022年的收益。随后,使用普通最小二乘(OLS)算法比较CAPM和FF3模型的解释能力。最后,本研究将SVR算法纳入FF3框架,建立预测模型。研究结果表明,FF3模型比CAPM模型提供了更好的解释。此外,研究表明,SVR算法在效率方面优于OLS算法,因为它产生更低的均方根误差(RMSE)值。因此,下一步的研究方向是用更全面的多因素模型取代FF3模型,期望得到一个增强的预测模型。
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A comparison of CAPM and Fama-French three-factor model under Machine Learning approaching
With the economy experiencing rapid growth in recent years, more individuals have started venturing into the stock market. Precisely forecasting the rate of return can mitigate investment risks for stock investors and significantly enhance their investment returns. The Capital Asset Pricing Model (CAPM) and the 3-factor Fama-French model (FF3) are widely recognized in academic and practical settings. This model comparison provides frameworks to analyze the relationship between portfolio risk and return in inefficient markets. This research utilized the Support Vector Regression (SVR) algorithm to forecast the returns of a diversified portfolio in the Hanoi stock market (HNX) from 2010 to 2022. Subsequently, the explanatory power of the CAPM and FF3 models were compared using the Ordinary Least Squares (OLS) algorithm. Finally, this research incorporated the SVR algorithm within the FF3 framework to develop a predictive model. The research findings demonstrate that the FF3 model provides a superior explanation to the CAPM model. Additionally, the study reveals that the SVR algorithm outperforms the OLS algorithm in terms of efficiency, as it yields lower Root Mean Square Error (RMSE) values. Consequently, the next research direction entails replacing the FF3 model with a more comprehensive multi-factor model, anticipating obtaining an enhanced predictive model.
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