基于次分数跳跃扩散过程的VaR估计模型OACHSSCD
A VaR Estimation Model Based on Sub-fractional Jump Diffusion Process
为准确、合理地度量金融风险,文章考虑了金融市场的分形特征和金融资产价格的跳跃变化,构建了基于次分数跳跃扩散过程的多资产VaR估计模型,推导出了VaR的解析表达式,并讨论了单一资产和服从同种跳跃分布的多资产情形下的VaR的性质.最后,以2018-2024年外汇市场的三种外汇资产为实证研究对象,对理论模型的合理性和有效性进行了检验,结果表明,所构建的模型对于VaR的估计性能有所提升.相关的模型和结果可为投资者、金融机构和监管机构提供决策参考.
In order to accurately and reasonably measure financial risks,the paper considers the fractal characteristics of the financial market and the jump changes in financial asset prices to construct a multi-asset VaR estimation model based on sub-fractional jump diffusion process,derives the analytical expression of VaR,and then discusses the properties of VaR in the cases of a single asset and multiple assets following the same jump distribution.Finally,taking three foreign exchange assets in the foreign exchange market from 2018 to 2024 as empirical research objects,the paper tests the rationality and validity of the theoret-ical model.The results show that the constructed model has improved the estimation performance of VaR.The relevant models and results can provide decision-making reference for investors,financial institutions and regulatory authorities.
李建辉
西京学院 计算机学院,西安 710123||西北大学 经济管理学院,西安 710127
管理科学
VaR分形特征次分数布朗运动Hurst指数
VaRfractal characteristicsub-fractional Brownian motionHurst index
《统计与决策》 2026 (9)
49-55,7
国家自然科学基金资助项目(12171391)陕西省自然科学基础研究计划项目(2024JC-YBMS-064)
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