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On the Bachelier implied volatility at extreme strikes

Mathematical Finance 2022-11-21 v1 Pricing of Securities

Abstract

What kind of implied volatility extrapolation is appropriate? Roger Lee proved that the Black-Scholes implied variance can not grow faster than linearly in log-moneyness. This paper investigates what happens in the Bachelier (or Normal) implied volatility world, making sure to cover the various aspects of vanilla option arbitrages.

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Cite

@article{arxiv.2211.10232,
  title  = {On the Bachelier implied volatility at extreme strikes},
  author = {Fabien Le Floc'h},
  journal= {arXiv preprint arXiv:2211.10232},
  year   = {2022}
}
R2 v1 2026-06-28T06:12:49.695Z