VIX options in Bergomi models

Fuente: arXiv
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Autori principali: Guo, Desen, Pirjol, Dan, Zhu, Lingjiong
Natura: Preprint
Pubblicazione: 2026
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author Guo, Desen
Pirjol, Dan
Zhu, Lingjiong
author_facet Guo, Desen
Pirjol, Dan
Zhu, Lingjiong
contents We present a study of the leading-order asymptotics for VIX option prices in Bergomi models in the short-maturity and small volatility-of-volatility regimes. Both out-of-the-money (OTM) and at-the-money (ATM) asymptotics are considered for one-factor, two-factor Bergomi and $N$-factor models. The leading-order asymptotics are obtained in closed-form, which are translated into predictions for the small-maturity asymptotics of the VIX implied volatility. Numerical illustrations are provided to illustrate the efficiency of the closed-form asymptotic formulas.
format Preprint
id arxiv_https___arxiv_org_abs_2606_02336
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle VIX options in Bergomi models
Guo, Desen
Pirjol, Dan
Zhu, Lingjiong
Pricing of Securities
We present a study of the leading-order asymptotics for VIX option prices in Bergomi models in the short-maturity and small volatility-of-volatility regimes. Both out-of-the-money (OTM) and at-the-money (ATM) asymptotics are considered for one-factor, two-factor Bergomi and $N$-factor models. The leading-order asymptotics are obtained in closed-form, which are translated into predictions for the small-maturity asymptotics of the VIX implied volatility. Numerical illustrations are provided to illustrate the efficiency of the closed-form asymptotic formulas.
title VIX options in Bergomi models
topic Pricing of Securities
url https://arxiv.org/abs/2606.02336