新冠肺炎期间中国股市研究——基于随机矩阵理论

Wu Yaojie, Fang Tianhui
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(2) There are three eigenvalues greater than the prediction value, of which the maximum eigenvalue is about 11.18 times larger than the largest eigenvalue of the RMT. (3) There is a significant positive relationship between the maximum eigenvalue and the correlation coefficient. The specific market performance is that the stock price fluctuations show a high degree of consistency. (4) In the sample interval, the financial industry has a restraining effect on the consumption industry in the short term, and the pharmaceutical industry has a promoting and then restraining effect on the consumption industry in the short term. The consumption industry has a promoting effect on the financial industry in the short term, and the pharmaceutical industry has a promoting and then restraining effect on the financial industry in the short term. 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摘要

本文重点研究受新冠疫情影响较大的三个行业,分别是消费行业、医药行业和金融行业。选取2020年1月2日至2020年6月3日100个交易日内,消费行业、医药行业、金融行业98只个股的日收益。基于随机矩阵理论,首先分析了疫情期间股票市场是否符合有效市场假说,然后进一步研究了三产业之间的联系。结果表明:(1)相关系数近似为正态分布,但均值大于0,大于美国等较为成熟的市场。(2)大于预测值的特征值有3个,其中最大特征值约为RMT最大特征值的11.18倍。(3)最大特征值与相关系数呈显著正相关。具体的市场表现是股价波动表现出高度的一致性。(4)在样本区间内,金融业在短期内对消费行业具有抑制作用,医药行业在短期内对消费行业具有先促进后抑制作用。消费行业在短期内对金融业具有促进作用,医药行业在短期内对金融业具有先促进后抑制作用。消费行业短期内对医药行业具有先促进后抑制的作用,金融行业短期内对医药行业具有先促进后抑制的作用。(5)在样本区间内,消费行业主要受自身的影响,而医药行业和金融行业的作用很小。医药行业主要受自身和消费行业的影响,而金融业的作用很小。金融行业主要受自身和消费行业的影响,而医药行业的作用很小。这种情况对个人投资者和机构投资者都有影响,因为一些股票收益是可以预期的,创造了套利和异常收益的机会,这与随机游走和信息效率的假设相反。研究资产收益之间的相关性,有助于对资产进行准确定价,避免疫情期间价格波动带来的损失。
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Research on Chinese Stock Market during COVID-19 - Based on Random Matrix Theory
This paper focuses on the three industries that are greatly impacted by COVID-19, including the consumption industry, the pharmaceutical industry, and the financial industry. The daily returns of 98 stocks in the consumption industry, the pharmaceutical industry, and the financial industry in the 100 trading days from January 2, 2020, to June 3, 2020, are selected. Based on the random matrix theory, it first analyzes whether the stock market conforms to the efficient market hypothesis during the epidemic period, and second it further studies the linkage between the three industries. The results show that (1) the correlation coefficient is approximately a normal distribution, but the mean value is greater than 0, which is greater than that of the more mature markets such as the United States. (2) There are three eigenvalues greater than the prediction value, of which the maximum eigenvalue is about 11.18 times larger than the largest eigenvalue of the RMT. (3) There is a significant positive relationship between the maximum eigenvalue and the correlation coefficient. The specific market performance is that the stock price fluctuations show a high degree of consistency. (4) In the sample interval, the financial industry has a restraining effect on the consumption industry in the short term, and the pharmaceutical industry has a promoting and then restraining effect on the consumption industry in the short term. The consumption industry has a promoting effect on the financial industry in the short term, and the pharmaceutical industry has a promoting and then restraining effect on the financial industry in the short term. The consumption industry has a promoting and then restraining effect on the pharmaceutical industry in the short term, and the financial industry has a promoting and then restraining effect on the pharmaceutical industry in the short term. (5) In the sample interval, the consumption industry is mainly affected by itself, while the role of the pharmaceutical industry and the financial industry is very small. The pharmaceutical industry is mainly affected by itself and the consumption industry, while the role of the financial industry is very small. The financial industry is mainly affected by itself and the consumption industry, while the role of the pharmaceutical industry is very small. This situation has consequences for individual investors and institutional investors, since some stock returns can be expected, creating opportunities for arbitrage and for abnormal returns, contrary to the assumptions of random walk and information efficiency. The research on the correlation between asset returns will help to accurately price assets and avoid losses caused by price fluctuations during the epidemic.
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