CVA Sensitivities, Hedging and Risk

Stéphane CrépeyUFR Mathématiques UPCité, Botao LiLPSM, Hoang NguyenIES, LPSM, Bouazza Saadeddine
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Abstract

We present a unified framework for computing CVA sensitivities, hedging the CVA, and assessing CVA risk, using probabilistic machine learning meant as refined regression tools on simulated data, validatable by low-cost companion Monte Carlo procedures. Various notions of sensitivities are introduced and benchmarked numerically. We identify the sensitivities representing the best practical trade-offs in downstream tasks including CVA hedging and risk assessment.
CVA 敏感性、套期保值和风险
我们提出了一个计算 CVA 敏感度、对冲 CVA 和评估 CVA 风险的统一框架,使用概率机器学习作为模拟数据上的精炼回归工具,并可通过低成本的配套蒙特卡罗程序进行验证。我们引入了各种敏感性概念,并对其进行了数值基准测试。我们确定了代表下游任务(包括 CVA 对冲和风险评估)中最佳实用权衡的敏感性。
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