信息对称下的理性模型对动量的解释——来自中美股市的证据

C. Koziol, J. Proelss
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摘要

在本文中,我们证明了即使在具有对称信息的理性投资者的简约模型中,股票收益的动量模式也会出现。该模型的特殊之处在于投资者在观察到真实的资产收益之前就获得了一个信号。然而,一个更有利的信号会同时影响回归的标准差和偏度。由于理性预期下的投资者考虑了资产的当前风险属性,因此风险调整后的后续收益与信号相关,因此也与之前的资产收益相关。因此,动量不一定是一种异常,但可以与信息市场效率一致,其中更高的后续回报来自更高的资产回报标准偏差和/或更严重的负偏度。由于这一基本原理,即使投资者没有动机利用它,它也可以在未来存在。对我们模型的比较分析揭示了动量在哪些条件下特别有效。此外,我们在美国和中国两个不同的股票市场上测试了我们的方法,这两个市场被不同类型的投资者所主导。该模型的结构使我们能够确定哪种类型的投资者动量模式特别可能。这一结果为动量起源的更精确的实证检验提供了基础。
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An Explanation for Momentum With a Rational Model Under Symmetric Information — Evidence From the US and Chinese Equity Markets
In this paper, we show that momentum patterns in equity returns can arise even in a parsimonious model with rational investors having symmetric information. The special feature of our model is that investors obtain a signal before observing the true asset payoff. A more favorable signal, however, impacts both the standard deviation of the return and its skewness. Since investors under rational expectations account for the current risk properties of the asset, the risk-adjusted subsequent return is related to the signal and therefore to the previous asset return. Hence, momentum does not need to be an anomaly but can be consistent with informational market efficiency where a higher subsequent return comes from a higher standard deviation of the asset return and/or a more severe negative skewness. Due to this rationale, it can be present in the future even though investors will have no incentive to exploit it. A comparativestatic analysis of our model reveals under which conditions momentum isparticularly in effect. Furthermore, we test our approach on two different equity markets, U.S. and China which are known to be dominated by different types of investors. The structure of the model allows us to identify for which type of investor momentum pattern is especially likely. This outcome provides the basis for a more precise empirical test for the origin of momentum.
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