基于Copula理論的滬港股市相關(guān)性及尾部相關(guān)性研究
[Abstract]:With the development of financial globalization and the interdependence of financial markets, the analysis of single stock or market can not meet the needs of financial market research, and correlation analysis is becoming more and more important in financial application. It has become the key to the measurement of financial market risk. However, the traditional correlation measurement based on linear correlation only focuses on the degree of linear correlation, neglecting the relationship between financial market structures, especially the tail correlation characteristics. Granger causality analysis method can only do qualitative analysis. It is impossible to give a quantitative conclusion. In this paper, Copula method, a nonlinear correlation analysis tool, is used to study the correlation between Shanghai Stock Exchange Index and Hang Seng Index, and the correlation between Shanghai Stock Exchange Index and Hang Seng Index, time-varying correlation and tail correlation are analyzed. The content structure of this paper is as follows: the first part introduces the background and significance of the topic, the research status at home and abroad; the second part introduces some basic knowledge about Copula; the third part introduces modeling, parameter estimation and test. The fourth part introduces the static and time-varying Copula functions used in this paper; the fifth part is empirical research; the sixth part is the conclusion. With regard to the research methods, most of the current studies assume that the edge distribution obeys t distribution or normal distribution. The static Copula method is used to study the correlation or tail correlation between the two cities, and the parameter estimation method (Parametric Approach), is generally used. The parameter estimation method generally makes relevant assumptions about the edge distribution function (assuming that it obeys t distribution or normal distribution, etc.), but it is difficult to conform to the actual situation, so the edge fitting effect is often not very good. This often affects the effect of parameter estimation. In this paper, the correlation and tail correlation of Shanghai and Hong Kong stock markets are studied by static C opula and time varying C opula by using the method of maximum likelihood estimation based on rank. The results show that the correlation of Shanghai and Hong Kong stock markets as a whole shows an increasing trend, and the correlation degree of the lower tail is slightly higher than that of the upper tail in terms of tail correlation. According to the two-stage analysis, there is almost no lower tail correlation in the first stage, and the upper tail correlation is not obvious. The correlation degree of the tail (especially the lower tail) of the second stage was significantly higher than that of the first stage, and the correlation degree of the lower tail was greater than that of the upper tail.
【學(xué)位授予單位】:重慶大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2012
【分類號(hào)】:F224;F832.51
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