基于Copula理論的金融時(shí)間序列統(tǒng)計(jì)特征的研究
[Abstract]:Any investment in financial products has risks, and exchange rate also has risks, but it is a double-edged sword. Because of the inherent uncertainty, exchange rate risk can not only bring certain losses to enterprises, but also may bring benefits. More and more retail investors and enterprises begin to enter the foreign exchange market. After fully understanding the exchange rate fluctuations in the foreign exchange market, they make use of certain rules to make profits, especially for some export enterprises. They can value the estimation and measurement of foreign exchange risk to reduce risk and improve their ability to resist it. At the same time, close contact with relevant departments, such as government finance departments, banks, insurance companies and so on, to obtain more information, strengthen risk warning. In the analysis of financial asset portfolio, it is very important to study the correlation and use an effective joint distribution model. However, the traditional correlation analysis and coefficient determination have great limitations. Therefore, we should fully understand and study every link in the correlation analysis, such as portfolio, risk management, asset pricing, volatility conduction and spillover, in order to analyze financial asset risk properly and accurately. In the aspect of risk measurement, VaR has become the most widely used method, and it is also the focus of financial risk research, which creates a convenient and scientific method to construct the joint distribution function of financial portfolio through Copula. The joint distribution can satisfy the characteristics of the financial assets such as non-normal, nonlinear correlation, and can solve the normal linear correlation hypothesis of the traditional risk management model. This paper mainly focuses on the correlation analysis and measurement of the portfolio of various financial assets, and studies the modeling method and application of Copula theory through examples. Based on Copula theory, by combining Copula function. GARCH model with Monte Carlo method, this paper solves the problem of non-normal and nonlinear correlation modeling of various financial assets, and establishes a high-dimensional portfolio model by using nested Archimedes Copula. The first part of the empirical research object is the portfolio of several major foreign exchange assets in China's foreign exchange market. Firstly, through the comparative study of GARCH model family, the marginal distribution volatility model of the return rate of individual risk assets is determined. Then using PC algorithm to estimate the correlation structure between assets, based on nested Archimedes Copula modeling idea to construct a high-dimensional nested Archimedean Copula model, this model can better describe the dependent structure between asset combinations; Based on the high dimensional nested Archimedes Copula model, the Monte Carlo method is used to simulate the VaR, of the portfolio and the validity of the model is proved by the return test. The second part of the empirical research is based on the Chinese foreign exchange market four foreign exchange portfolio as the object, in this part of the study based on Pair Copula high-dimensional modeling method based on mixed C-rattan Copula model and D-rattan Copula model comparative study. Empirical study of foreign exchange portfolio VaR. In the empirical study, the two models are compared in the accuracy of portfolio VaR calculation. The results of the two parts of empirical research show that the established Copula model can better describe the correlation structure between financial assets and provide convenient conditions for risk measurement.
【學(xué)位授予單位】:天津科技大學(xué)
【學(xué)位級別】:碩士
【學(xué)位授予年份】:2013
【分類號】:F830;F224
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