Denting the FRTB IMA computational challenge via Orthogonal Chebyshev Sliding Technique

التفاصيل البيبلوغرافية
العنوان: Denting the FRTB IMA computational challenge via Orthogonal Chebyshev Sliding Technique
المؤلفون: Laris, Mariano Zeron-Medina, Ruiz, Ignacio
سنة النشر: 2019
المجموعة: Quantitative Finance
مصطلحات موضوعية: Quantitative Finance - Risk Management
الوصف: In this paper we introduce a new technique based on high-dimensional Chebyshev Tensors that we call \emph{Orthogonal Chebyshev Sliding Technique}. We implemented this technique inside the systems of a tier-one bank, and used it to approximate Front Office pricing functions in order to reduce the substantial computational burden associated with the capital calculation as specified by FRTB IMA. In all cases, the computational burden reductions obtained were of more than $90\%$, while keeping high degrees of accuracy, the latter obtained as a result of the mathematical properties enjoyed by Chebyshev Tensors.
Comment: A version of this paper has been peer-reviewed and will be published in Wilmott Magazine in January 2021
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1911.10948
رقم الأكسشن: edsarx.1911.10948
قاعدة البيانات: arXiv