arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1402.5352q-fin.RMmath.PRq-fin.CP
收藏

大型金融系统的系统性风险与违约聚集

Systemic Risk and Default Clustering for Large Financial Systems

Konstantinos Spiliopoulos

摘要:

正如金融风险和宏观经济学文献所知,大型投资组合的风险分担可能会增加违约集群和系统性风险的产生概率。我们回顾了最近的事态发展的数学和计算工具的量化这种现象。极限分析,如大数定律和中心极限定理允许近似分布在大型系统和研究数量,如损失分布在大型投资组合。大偏差分析使我们能够研究损失分布的尾部,并确定违约聚集的路径。敏感性分析有助于了解不同影响(如传染和系统性风险)结合起来导致大违约率的最可能方式。这些结果可以为如何最佳地防范此类事件提供有用的见解。

英文摘要:

As it is known in the finance risk and macroeconomics literature, risk-sharing in large portfolios may increase the probability of creation of default clusters and of systemic risk. We review recent developments on mathematical and computational tools for the quantification of such phenomena. Limiting analysis such as law of large numbers and central limit theorems allow to approximate the distribution in large systems and study quantities such as the loss distribution in large portfolios. Large deviations analysis allow us to study the tail of the loss distribution and to identify pathways to default clustering. Sensitivity analysis allows to understand the most likely ways in which different effects, such as contagion and systematic risks, combine to lead to large default rates. Such results could give useful insights into how to optimally safeguard against such events.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑