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 …
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 …
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 …
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 …
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 …
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 …
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 …