English

Dynamic sensitivities and Initial Margin via Chebyshev Tensors

Risk Management 2020-11-10 v1

Abstract

This paper presents how to use Chebyshev Tensors to compute dynamic sensitivities of financial instruments within a Monte Carlo simulation. Dynamic sensitivities are then used to compute Dynamic Initial Margin as defined by ISDA (SIMM). The technique is benchmarked against the computation of dynamic sensitivities obtained by using pricing functions like the ones found in risk engines. We obtain high accuracy and computational gains for FX swaps and Spread Options.

Keywords

Cite

@article{arxiv.2011.04544,
  title  = {Dynamic sensitivities and Initial Margin via Chebyshev Tensors},
  author = {Mariano Zeron and Ignacio Ruiz},
  journal= {arXiv preprint arXiv:2011.04544},
  year   = {2020}
}

Comments

21 pages, 8 figures

R2 v1 2026-06-23T20:01:10.592Z