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The Application of Improved Mixed-copula Model in Portfolio VaR Measurement

机译:改进的混合copula模型在证券投资组合价值计量中的应用

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In this paper,an ordinary multivariate mixed-Copula model is introduced,and it's maximum likelihood estimation method and improved Goodness-of-fit testing method are proposed.Furthermore,the model is improved to resolve the drawback that the special relationship between different stages and market volatility is always neglected in the existing models.The measure of VaR (value at risk) is presented.The proposed multivariate mixed-Copula model is applied to the research of VaR of investment portfolio in financial market.Moreover,a random simulation algorithm of Portfolio risk value estimation is proposed.Finally,a numerical example is introduced,where a specific mixed model is established combining real financial market dates and an EM algorithm of maximum likelihood estimation is developed.The VaR of investment portfolio of the two mixed-Copula models are evaluated,and the result demonstrates that the improved mixed-Copula model increases the timdiness of VaR.
机译:本文介绍了一个普通的多元混合Copula模型,提出了最大似然估计方法和改进的拟合优度检验方法。此外,对该模型进行了改进,以解决不同阶段之间特殊关系的缺点。现有的模型总是忽略了市场的波动性。提出了风险价值的VaR的度量。将所提出的多元混合Copula模型应用于金融市场投资组合的VaR的研究。提出了证券投资组合的风险价值估计方法。最后,通过一个数值例子,结合实际的金融市场日期建立了一个特定的混合模型,并建立了最大似然估计的EM算法。两种混合Copula模型的投资组合的VaR评估结果表明,改进的混合Copula模型增加了VaR的时效性。

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