Short dated smile under Rough Volatility: asymptotics and numerics
Friz, Peter K.; Gassiat, Paul; Pigato, Paolo (2021), Short dated smile under Rough Volatility: asymptotics and numerics. https://basepub.dauphine.psl.eu/handle/123456789/22295
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Type
Document de travail / Working paperExternal document link
https://hal.archives-ouvertes.fr/hal-03099744Date
2021Series title
Cahier de recherche du CEREMADEPages
23
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Show full item recordAuthor(s)
Friz, Peter K.Weierstraß-Institut für Angewandte Analysis und Stochastik = Weierstrass Institute for Applied Analysis and Stochastics [Berlin] [WIAS]
Gassiat, Paul
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Pigato, Paolo
Weierstraß-Institut für Angewandte Analysis und Stochastik = Weierstrass Institute for Applied Analysis and Stochastics [Berlin] [WIAS]
Abstract (EN)
In [Precise Asymptotics for Robust Stochastic Volatility Models; Ann. Appl. Probab. 2020] we introduce a new methodology to analyze large classes of (classical and rough) stochastic volatility models, with special regard to short-time and small noise formulae for option prices, using the framework [Bayer et al; A regularity structure for rough volatility; Math. Fin. 2020]. We investigate here the fine structure of this expansion in large deviations and moderate deviations regimes, together with consequences for implied volatility. We discuss computational aspects relevant for the practical application of these formulas. We specialize such expansions to prototypical rough volatility examples and discuss numerical evidence.Related items
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Friz, Peter K.; Gassiat, Paul; Pigato, Paolo (2021) Article accepté pour publication ou publié
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