no code implementations • 18 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.
no code implementations • 5 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.
no code implementations • 9 Apr 2021 • Ofelia Bonesini, Giorgia Callegaro, Antoine Jacquier
We develop a product functional quantization of rough volatility.
no code implementations • 15 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.