提出可快速估算多变量利率冲击响应的新模型,解决传统方法无法区分相关与因果的问题。
Amortized Interventional Forecasting for Multivariate CIR Processes
- 将时间序列建模为带时间戳的观测,通过摊销机制预测多时点冲击响应
- 在合成数据上验证了对因果效应的精准捕捉,短期预测性能显著优于基线
- 适用于信用违约互换(CDS)等金融系统中的压力测试与反事实分析
均值回归动态在金融中普遍存在,柯克斯-英格尔斯-罗斯(CIR)过程是描述此类时间序列的标准模型,涵盖短利率至信用违约互换(CDS)利差。然而,传统CIR模型仅能刻画变量间的相关共变,无法识别因果影响,因而难以回答某变量受外部冲击后的系统响应——这正是观测条件分布与干预效应混淆的核心问题。本文提出两项贡献:其一,设计了一种摊销式分布因果效应估计模型,将轨迹视为时间戳观测,无需每种情景重新训练即可预测多时点冲击响应;其二,构建了一个因果多变量CIR数据生成过程,提供成对的观测与干预真实标签,而真实市场无法提供此类标签。该框架在CDS利差上进行实例化与校准。CIR-ACTIVA的有效性基于合成真实标签,不依赖模拟器与现实匹配程度,其实际适用性通过生成轨迹与真实CDS数据回测评估。相比观测与摊销因果推断基线,CIR-ACTIVA在联合分布的因果选择性及分时点校准方面表现更优,且在干预规律随时间变化时仍保持选择性,收益集中于短期。该方法开启了一系列针对耦合利差系统的“若...会怎样”类问题,如CDS压力测试,这是观测预测器无法回答的。
原文摘要 · Abstract (English)
Mean-reverting dynamics are pervasive in finance, and the Cox--Ingersoll--Ross (CIR) process is a standard model for the time series they produce, from short rates to credit default swap (CDS) spreads. Yet CIR models capture only \emph{correlated} co-movement, not \emph{causal} influence between series, so they cannot answer the system's response when one series is externally shocked, which observational conditionals confound with historical co-movement. We make two contributions. First, an amortized model for distributional causal effect estimation that frames trajectories as time-stamped observations and predicts the calibrated multi-horizon shock response without retraining per scenario. Second, a causal multivariate CIR data-generating process that supplies the paired observational and interventional ground truth that real markets cannot. We instantiate and calibrate the framework on CDS spreads as a testbed. CIR-ACTIVA's validity is established on synthetic ground truth, independent of how well the simulator matches reality, while practical grounding is assessed by backtesting the generated traces against real CDS data. Against observational and amortized causal-inference baselines, CIR-ACTIVA leads on both causal selectivity in the joint distribution and horizon-resolved calibration, retaining its selectivity once the interventional law varies over the horizon, with gains concentrating at short horizons. This opens up a class of what-if queries on coupled spread systems, CDS stress testing among them, that observational forecasters cannot answer.
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