用偏微分方程模型和复杂网络预测中国银行业系统性风险

IF 1 4区 数学 Q3 MATHEMATICS, APPLIED
Xiaofeng Yan, Haiyan Wang, Yulian An
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引用次数: 0

摘要

对系统性风险的监测与控制日益成为金融领域关注的焦点。系统性金融风险的准确预测是一个重要而又困难的问题。本文基于中国a股24家上市银行的网络、聚类和真实数据,提出了一个描述中国银行业系统性风险的时空偏微分方程模型。该模型考虑了局部风险和跨界传染效应的综合影响,预测的相对精度高达95%。模拟结果证实,严格的联合控制措施、央行干预的及时性以及银行策略的差异对于降低系统性风险是有效的。据我们所知,这是第一篇应用PDE模型预测系统性金融风险的论文。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
FORECASTING SYSTEMIC RISK OF CHINA'S BANKING INDUSTRY BY PARTIAL DIFFERENTIAL EQUATIONS MODEL AND COMPLEX NETWORK
The monitoring and controlling of systemic risk have increasingly become the focus of attention in the financial field. It is important and difficult to accurately forecast systemic financial risk. In this paper, we propose a spatio-temporal partial differential equation model to describe the systemic risk of China's Banking Industry based on network, clustering, and real date of 24 China's A-share listed banks. The model considers the combined influence of local risk and transboundary contagion effects, and the prediction relative accuracy is up to 95%. Simulation results confirm that strict joint control measures, the timeliness of central bank intervention, and differences in bank strategies are efficient for reducing systemic risk. To our knowledge, this is the first paper to apply a PDE model to forecast systemic financial risk.
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来源期刊
CiteScore
2.30
自引率
9.10%
发文量
45
期刊介绍: The Journal of Applied Analysis and Computation (JAAC) is aimed to publish original research papers and survey articles on the theory, scientific computation and application of nonlinear analysis, differential equations and dynamical systems including interdisciplinary research topics on dynamics of mathematical models arising from major areas of science and engineering. The journal is published quarterly in February, April, June, August, October and December by Shanghai Normal University and Wilmington Scientific Publisher, and issued by Shanghai Normal University.
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