Buongiorno a tutti,

Vorremmo segnalarvi che venerdì prossimo (5 Dicembre) alle 14:30 in aula 2BC30 (Torre Archimede, Università di Padova) ci sarà un seminario per il ciclo di seminari in Probabilità e Finanza di:

Josep Vives (Universitat de Barcelona)
https://webgrec.ub.edu/webpages/000006/ang/josep.vives.ub.edu.html
Title: Computation of Greeks under rough Volterra stochastic volatility models using the Malliavin Calculus approach
Date: December 5, 2025, at 14:30, 2BC30
Abstract: Using Malliavin calculus techniques, we obtain formulas for computing Greeks under different rough Volterra stochastic volatility models. Due to the fact that underlying prices are not always square integrable, we extend the classical integration by parts formula to integrable but not necessarily square integrable functionals. First of all, we obtain formulas for general stochastic volatility (SV) models, concretely the Greeks Delta, Gamma, Vega and we introduce the Greek with respect to the roughness parameter. Then, the particular case of rough Volterra SV models is analyzed. Finally, three examples are treated in detail: the family of alpha-RFSV models, that includes rough versions of SABR and Bergomi models, a mixed alpha-RFSV model with two different Hurst parameters representing short (roughness) and long memory, and the rough Stein-Stein model. For different models and Greeks we show a numerical convergence of our formulas in Monte Carlo simulations and depict for example a dependence of the Greeks on the roughness parameter.

Vi aspettiamo numerosi!

 Alberto Chiarini e Alekos Cecchin

Sito web del seminario: https://www.math.unipd.it/~chiarini/seminars/