English

Pricing and hedging American-style options with deep learning

Computational Finance 2021-03-23 v3

Abstract

In this paper we introduce a deep learning method for pricing and hedging American-style options. It first computes a candidate optimal stopping policy. From there it derives a lower bound for the price. Then it calculates an upper bound, a point estimate and confidence intervals. Finally, it constructs an approximate dynamic hedging strategy. We test the approach on different specifications of a Bermudan max-call option. In all cases it produces highly accurate prices and dynamic hedging strategies with small replication errors.

Keywords

Cite

@article{arxiv.1912.11060,
  title  = {Pricing and hedging American-style options with deep learning},
  author = {Sebastian Becker and Patrick Cheridito and Arnulf Jentzen},
  journal= {arXiv preprint arXiv:1912.11060},
  year   = {2021}
}
R2 v1 2026-06-23T12:55:04.892Z