基于当前市场状态动态调整风险评估,让压力测试更贴近现实。
Portfolio Stress Testing and Value at Risk (VaR) Incorporating Current Market Conditions
- 用变分推断识别市场状态集群,按相似度加权历史数据。
- 2020年疫情波动期验证,风险值与压力情景快速响应市场变化。
- 可揭示不同市场环境下投资组合的表现差异,适合风控决策者。
VaR和压力测试是投资组合风险管理中估算不利市场变动下潜在市值损失的两种主流方法。VaR衡量在特定期限(如1天或10天)内、于指定置信水平(如95%分位数)下的潜在损失。压力测试旨在构建极端市场情景(如严重衰退或利率骤升、地缘政治事件),并量化其对投资组合的影响。本文提出一种将当前市场状况融入压力情景设计与VaR估计的方法,以提供更准确、更贴近近期实际的风险洞察。该方法基于历史数据,若某段历史时期与当前市场条件越相似,则赋予其越高权重。通过变分推断(Variational Inference, VI)识别市场状态集群,每个集群内未来投资组合价值变化趋势相似。VI算法利用优化技术获得集群归属后验概率密度及不同结果的概率的解析近似。以2020年新冠疫情引发的剧烈波动期为例,验证了该方法的有效性,展示出VaR和压力情景能迅速适应市场变化。此外,市场状态聚类还可为投资组合在不同市场环境下的表现提供有益洞察。
原文摘要 · Abstract (English)
Value at Risk (VaR) and stress testing are two of the most widely used approaches in portfolio risk management to estimate potential market value losses under adverse market moves. VaR quantifies potential loss in value over a specified horizon (such as one day or ten days) at a desired confidence level (such as 95'th percentile). In scenario design and stress testing, the goal is to construct extreme market scenarios such as those involving severe recession or a specific event of concern (such as a rapid increase in rates or a geopolitical event), and quantify potential impact of such scenarios on the portfolio. The goal of this paper is to propose an approach for incorporating prevailing market conditions in stress scenario design and estimation of VaR so that they provide more accurate and realistic insights about portfolio risk over the near term. The proposed approach is based on historical data where historical observations of market changes are given more weight if a certain period in history is "more similar" to the prevailing market conditions. Clusters of market conditions are identified using a Machine Learning approach called Variational Inference (VI) where for each cluster future changes in portfolio value are similar. VI based algorithm uses optimization techniques to obtain analytical approximations of the posterior probability density of cluster assignments (market regimes) and probabilities of different outcomes for changes in portfolio value. Covid related volatile period around the year 2020 is used to illustrate the performance of the proposed approach and in particular show how VaR and stress scenarios adapt quickly to changing market conditions. Another advantage of the proposed approach is that classification of market conditions into clusters can provide useful insights about portfolio performance under different market conditions.
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