APARCH-PET模型的VaR度量
VaR Measure Based on APARCH-PET Models
DOI: 10.12677/SA.2022.116162, PDF,    科研立项经费支持
作者: 徐慧颖*, 魏正元, 何青霞, 杨 洁:重庆理工大学理学院,重庆
关键词: Edgeworth展开APARCH模型VaREdgeworth Expansion APARCH Model VaR
摘要: 本文提出了一种包含PES的正Edgeworth截断分布(PET),给出了APARCH-PET模型的VaR表达式,研究了APARCH-PET与经典模型的数据拟合效果。选用上证主板招商银行股票数据进行实证分析,结果表明:PET分布在拟合资产收益率数据的尾部特征时更具优势,构建的APARCH-PET模型能更好的刻画金融资产收益率数据分布的尖峰、厚尾特征和非对称性,且一定程度上提高了VaR度量的预测精度。
Abstract: In this paper, a positive Edgeworth truncated distribution (PET) including PES is proposed, the VaR expression of APARCH-PET model is given, and the data fitting effect of APARCH-PET and classical model is studied. The empirical analysis results show that PET distribution has more advantages in fitting the tail characteristics of asset yield data, and the APARCH-PET model can better depict the spike, thick-tail characteristics and asymmetry of financial asset yield data distribution, and improve the prediction accuracy of VaR measurement to a certain extent.
文章引用:徐慧颖, 魏正元, 何青霞, 杨洁. APARCH-PET模型的VaR度量[J]. 统计学与应用, 2022, 11(6): 1564-1573. https://doi.org/10.12677/SA.2022.116162

参考文献

[1] Bollerslev, T. (1987) A Conditionally Heteroskedastic Time Series Model for Speculative Prices and Rates of Return. The Review of Economics and Statistics, 69, 542-547.
[Google Scholar] [CrossRef
[2] Silverman, B.W. (1982) Kernel Density Estimation Using the Fast Courier Transform Models. Journal of the Royal Statistical Society: Series C (Applied Statistics), 31, 93-99.
[Google Scholar] [CrossRef
[3] Sargan, J.D. (1976) Econometric Estimators and the Edgeworth Approximation. Econometrica, 44, 421-448.
[Google Scholar] [CrossRef
[4] Mauleón, I. and Perote, J. (2000) Testing Densities with Financial Data: An Empirical Comparison of the Edgeworth- Sargan Density to the Student’s t. The European Journal of Finance, 6, 225-239.
[Google Scholar] [CrossRef
[5] Edgeworth, F.Y. (1907) On the Representation of Statistical Frequency by a Series. Journal of the Royal Statistical Society, 70, 102-106.
[Google Scholar] [CrossRef
[6] Ñíguez, T.M., Perote, J. and Carlos, J. (2012) Forecasting Heavy-Tailed Densities with Positive Edgeworth and Gram- Charlier Expansions. Oxford Bulletin of Economics & Statistics, 74, 600-627.
[Google Scholar] [CrossRef
[7] León, Á. And Ñíguez, T.M. (2021) The Transformed Gram Charlier Distribution: Parametric Properties and Financial Risk Applications. Journal of Empirical Finance, 63, 323-349.
[Google Scholar] [CrossRef
[8] Bollerslev, T. (1986) Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31, 307-327.
[Google Scholar] [CrossRef
[9] Nelson, D.B. (1991) Conditional Heteroskedasticity in Asset Returns: A New Approach. Econometrica, 59, 347-370.
[Google Scholar] [CrossRef
[10] Ding, Z.X., Granger, C.W.J. and Engle, R.F. (1993) A Long Memory Property of Stock Market Returns and a New Model. Journal of Empirical Finance, 1, 83-106.
[Google Scholar] [CrossRef
[11] 魏正元, 李娟, 罗云峰. 基于EGARCH-GPD模型的沪深300指数的VaR度量[J]. 重庆理工大学学报(自然科学版), 2016, 30(5): 119-124.
[12] 鲁皓, 周志凯. 基于GARCH-GED分布模型的证券投资基金风险度量[J]. 金融理论与实践, 2014(3): 8-11.
[13] 宫晓莉, 庄新田, 刘喜华. 基于尖峰厚尾、有偏GARCH-Copula模型的风险测度[J]. 系统工程, 2018, 36(1): 31-38.
[14] Kupiec, P.H. (1995) Techniques for Verifying the Accuracy of Risk Measurement Models. Journal of Derivatives, 2, 73-84.
[Google Scholar] [CrossRef