Functional quantization of rough volatility and applications to volatility derivatives

Fuente: arXiv
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Auteurs principaux: Bonesini, Ofelia, Callegaro, Giorgia, Jacquier, Antoine
Format: Preprint
Publié: 2021
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author Bonesini, Ofelia
Callegaro, Giorgia
Jacquier, Antoine
author_facet Bonesini, Ofelia
Callegaro, Giorgia
Jacquier, Antoine
contents We develop a product functional quantization of rough volatility. Since the quantizers can be computed offline, this new technique, built on the insightful works by Luschgy and Pages, becomes a strong competitor in the new arena of numerical tools for rough volatility. We concentrate our numerical analysis to pricing VIX Futures in the rough Bergomi model and compare our results to other recently suggested benchmarks.
format Preprint
id arxiv_https___arxiv_org_abs_2104_04233
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Functional quantization of rough volatility and applications to volatility derivatives
Bonesini, Ofelia
Callegaro, Giorgia
Jacquier, Antoine
Pricing of Securities
Probability
91G20, 91G80, 60G15
We develop a product functional quantization of rough volatility. Since the quantizers can be computed offline, this new technique, built on the insightful works by Luschgy and Pages, becomes a strong competitor in the new arena of numerical tools for rough volatility. We concentrate our numerical analysis to pricing VIX Futures in the rough Bergomi model and compare our results to other recently suggested benchmarks.
title Functional quantization of rough volatility and applications to volatility derivatives
topic Pricing of Securities
Probability
91G20, 91G80, 60G15
url https://arxiv.org/abs/2104.04233