Search Results for author: Ofelia Bonesini

Found 4 papers, 0 papers with code

Risk premium and rough volatility

no code implementations18 Mar 2024 Ofelia Bonesini, Antoine Jacquier, Aitor Muguruza

One the one hand, rough volatility has been shown to provide a consistent framework to capture the properties of stock price dynamics both under the historical measure and for pricing purposes.

From elephant to goldfish (and back): memory in stochastic Volterra processes

no code implementations5 Jun 2023 Ofelia Bonesini, Giorgia Callegaro, Martino Grasselli, Gilles Pagès

The numerical scheme exhibits a strong convergence rate of 1/2, which is independent of the roughness parameter of the volatility process.

A theoretical analysis of Guyon's toy volatility model

no code implementations15 Jan 2020 Ofelia Bonesini, Antoine Jacquier, Chloe Lacombe

We provide a thorough analysis of the path-dependent volatility model introduced by Guyon \cite{G17}, proving existence and uniqueness of a strong solution, characterising its behaviour at boundary points, providing asymptotic closed-form option prices as well as deriving small-time behaviour estimates.

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