Joint calibration to SPX and VIX options with signature-based models

C Cuchiero, G Gazzani, J Möller… - arXiv preprint arXiv …, 2023 - arxiv.org
We consider a stochastic volatility model where the dynamics of the volatility are described
by linear functions of the (time extended) signature of a primary underlying process, which is …

Entropic Semi-Martingale Optimal Transport

JD Benamou, G Chazareix, M Hoffmann… - arXiv preprint arXiv …, 2024 - arxiv.org
Entropic Optimal Transport (EOT), also referred to as the Schr\" odinger problem, seeks to
find a random processes with prescribed initial/final marginals and with minimal relative …

Pricing and calibration in the 4-factor path-dependent volatility model

G Gazzani, J Guyon - arXiv preprint arXiv:2406.02319, 2024 - arxiv.org
We consider the path-dependent volatility (PDV) model of Guyon and Lekeufack (2023),
where the instantaneous volatility is a linear combination of a weighted sum of past returns …

From entropic transport to martingale transport, and applications to model calibration

JD Benamou, G Chazareix, G Loeper - arXiv preprint arXiv:2406.11537, 2024 - arxiv.org
We propose a discrete time formulation of the semi martingale optimal transport
problembased on multi-marginal entropic transport. This approach offers a new way to …

Joint calibration of local volatility models with stochastic interest rates using semimartingale optimal transport

B Joseph, G Loeper, J Obłój - Quantitative Finance, 2024 - Taylor & Francis
We develop and implement a non-parametric method for joint exact calibration of a local
volatility model and a correlated stochastic short rate model using semimartingale optimal …

The bilateral Gamma motion: Calibration and option pricing

JL Kirkby, CA Rinella, JP Aguilar - Frontiers of Mathematical …, 2024 - aimsciences.org
This work considers the calibration of exponential Lévy models to market options data and
the subsequent pricing of exotic options. We focus on a natural and promising extension of …

[PDF][PDF] Rough Heston with jumps-joint calibration to SPX/VIX level and skew as T→ 0, and issues with the quadratic rough Heston model

M Forde, B Smith - Preprint https://nms. kcl. ac. uk/Martin. forde …, 2022 - nms.kcl.ac.uk
We augment the well known rough Heston model with an additional independent
CGMY/KoboL-type jump process with a Brownian component, and we show that one can …

Strategic execution trajectories

G Bordigoni, A Figalli, A Ledford… - Applied Mathematical …, 2022 - Taylor & Francis
We obtain the optimal execution strategy for two sequential trades in the presence of a
transient price impact. We first present a novel and general solution method for the case of a …