The fractional volatility model and rough volatility

Fuente: arXiv
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Autore principale: Mendes, R. Vilela
Natura: Preprint
Pubblicazione: 2022
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author Mendes, R. Vilela
author_facet Mendes, R. Vilela
contents The question of the volatility roughness is interpreted in the framework of a data-reconstructed fractional volatility model, where volatility is driven by fractional noise. Some examples are worked out and also, using Malliavin calculus for fractional processes, an option pricing equation and its solution are obtained.
format Preprint
id arxiv_https___arxiv_org_abs_2206_02205
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle The fractional volatility model and rough volatility
Mendes, R. Vilela
General Finance
Probability
The question of the volatility roughness is interpreted in the framework of a data-reconstructed fractional volatility model, where volatility is driven by fractional noise. Some examples are worked out and also, using Malliavin calculus for fractional processes, an option pricing equation and its solution are obtained.
title The fractional volatility model and rough volatility
topic General Finance
Probability
url https://arxiv.org/abs/2206.02205