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The FRTB-IMA computational challenge for Equity Autocallables

Risk Management 2025-03-27 v3 Computational Finance

Abstract

When the Orthogonal Chebyshev Sliding Technique was introduced it was applied to a portfolio of swaps and swaptions within the context of the FRTB-IMA capital calculation. The computational cost associated to the computation of the ES values - an essential component of the capital caluclation under FRTB-IMA - was reduced by more than 90%90\% while passing PLA tests. This paper extends the use of the Orthogonal Chebyshev Sliding Technique to portfolios of equity autocallables defined over a range of spot underlyings. Results are very positive as computational reductions are of about 90%90\% with passing PLA metrics. Since equity autocallables are a commonly traded exotic trade type, with significant FRTB-IMA computational costs, the extension presented in this paper constitutes an imporant step forward in tackling the computational challenges associated to an efficient FRTB-IMA implementation.

Cite

@article{arxiv.2305.06215,
  title  = {The FRTB-IMA computational challenge for Equity Autocallables},
  author = {Mariano Zeron and Meng Wu and Ignacio Ruiz},
  journal= {arXiv preprint arXiv:2305.06215},
  year   = {2025}
}
R2 v1 2026-06-28T10:31:09.806Z