Death of the Capital Asset Pricing Model

Min Deng
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Abstract

The expected return of the stock described by the Portfolio Theory and the CAPM is not the true expected return of the stock in the real-life world. In the real-life world, the expected return could not replace the actual return of the stock, variance of the return could not replace the risk of the stock, and there is no trade-off between the expected return and variance of the return of the stock. An intensive analysis of the central prediction along with its implications which constitute the core of the CAPM lead to the following conclusions: (i) As a model of the determination of the expected return of the stock, the CAPM does not include the true expected return of the stock in the real-life world, which is the most critical factor. The CAPM is an unscientific description of the determination of the expected return of the stock in the real-life world, investors could not use it to calculate the true expected return of the stock in the real-life world. (ii) As a stock pricing model, the CAPM is an untrue description of the actual stock pricing in the real-life world. The CAPM can neither scientifically describe the actual stock pricing mechanism and process nor provide quantitative explanations on the formation of the actual return of the stock. The CAPM basically mixes up the determination of the expected return of the stock and the determination of the pricing of the stock, which are two issues of an entirely different nature. (iii) The CAPM central prediction that market portfolio is a mean-variance efficient portfolio is not supported by the real world data. In the real world, there is neither linear relationship nor any other relationship between the expected return of the stock and beta. Differences in betas are fully incapable of explaining the differences in expected returns across stocks and portfolios, beta is not the reasonable measure of the actual risk of the stock. (iv) The conclusion of this paper confirms with the current consensus within the profession that beta---the single risk factor is not quite enough for describing the cross-section of the expected returns of the stock.
资本资产定价模型的死亡
投资组合理论和CAPM所描述的股票预期收益并不是现实世界中股票的真实预期收益。在现实世界中,期望收益不能代替股票的实际收益,收益方差不能代替股票的风险,期望收益与股票收益方差之间不存在权衡关系。对构成CAPM核心的中心预测及其含义进行深入分析,得出以下结论:(i)作为确定股票预期收益的模型,CAPM不包括股票在现实世界中的真实预期收益,而这是最关键的因素。CAPM是对股票在现实世界中预期收益的确定的一种不科学的描述,投资者无法用它来计算股票在现实世界中的真实预期收益。(ii) CAPM作为股票定价模型,对现实世界中股票的实际定价存在不真实的描述。CAPM既不能科学地描述股票的实际定价机制和过程,也不能对股票实际收益的形成提供定量的解释。CAPM基本上混合了股票预期收益的确定和股票定价的确定,这是两个性质完全不同的问题。(iii) CAPM中心预测市场投资组合是均值方差有效投资组合的预测没有得到实际数据的支持。在现实世界中,股票的预期收益与贝塔之间既不存在线性关系,也不存在任何其他关系。贝塔的差异完全不能解释股票和投资组合之间预期收益的差异,贝塔不是衡量股票实际风险的合理指标。(iv)本文的结论与目前业内的共识一致,即β -单一风险因素不足以描述股票预期收益的横截面。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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