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Pathwise large deviations for the Rough Bergomi model

Probability 2019-07-10 v3 Pricing of Securities

Abstract

We study the small-time behaviour of the rough Bergomi model, introduced by Bayer, Friz and Gatheral (2016), and prove a large deviations principle for a rescaled version of the normalised log stock price process, which then allows us to characterise the small-time behaviour of the implied volatility.

Keywords

Cite

@article{arxiv.1706.05291,
  title  = {Pathwise large deviations for the Rough Bergomi model},
  author = {Antoine Jacquier and Mikko S. Pakkanen and Henry Stone},
  journal= {arXiv preprint arXiv:1706.05291},
  year   = {2019}
}

Comments

12 Pages

R2 v1 2026-06-22T20:20:58.504Z