A deep learning approach to data-driven model-free pricing and to martingale optimal transport

A Neufeld, J Sester - IEEE Transactions on Information Theory, 2022 - ieeexplore.ieee.org
We introduce a novel and highly tractable supervised learning approach based on neural
networks that can be applied for the computation of model-free price bounds of, potentially …

Improved robust price bounds for multi-asset derivatives under market-implied dependence information

J Ansari, E Lütkebohmert, A Neufeld, J Sester - Finance and Stochastics, 2024 - Springer
We show how inter-asset dependence information derived from market prices of options can
lead to improved model-free price bounds for multi-asset derivatives. Depending on the type …

[HTML][HTML] A multi-marginal c-convex duality theorem for martingale optimal transport

J Sester - Statistics & Probability Letters, 2024 - Elsevier
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Computation of Robust Option Prices via Structured Multi-Marginal Martingale Optimal Transport

L Engström, S Källblad, J Karlsson - arXiv preprint arXiv:2406.09959, 2024 - arxiv.org
We introduce an efficient computational framework for solving a class of multi-marginal
martingale optimal transport problems, which includes many robust pricing problems of …

Model-free price bounds under dynamic option trading

A Neufeld, J Sester - SIAM Journal on Financial Mathematics, 2021 - SIAM
In this paper we extend discrete time semistatic trading strategies by also allowing for
dynamic trading in a finite amount of options, and we study the consequences for the model …

Robust statistical arbitrage strategies

E Lütkebohmert, J Sester - Quantitative Finance, 2021 - Taylor & Francis
We investigate statistical arbitrage strategies when there is ambiguity about the underlying
time-discrete financial model. Pricing measures are assumed to be martingale measures …

Martingale transport with homogeneous stock movements

S Eckstein, M Kupper - Quantitative Finance, 2021 - Taylor & Francis
We study a variant of the martingale optimal transport problem in a multi-period setting to
derive robust price bounds on a financial derivative. On top of marginal and martingale …

On intermediate marginals in martingale optimal transportation

J Sester - Mathematics and Financial Economics, 2023 - Springer
We study the influence of additional intermediate marginal distributions on the value of the
martingale optimal transport problem. From a financial point of view, this corresponds to …

Uncertainty and stochastic optimization: numerical methods, regularization and asymptotic analysis

S Eckstein - 2020 - kops.uni-konstanz.de
Zunächst danke ich meinem Betreuer Michael Kupper. Von Beginn meiner Masterarbeit an
hat mich Michaels Begeisterung für Mathematik stets angesteckt. Er hat sich immer Zeit …

[PDF][PDF] On the improvement of robust price bounds

J Sester - 2019 - freidok.uni-freiburg.de
This thesis studies several topics related to the area of model-independent and robust
finance. In particular, the work addresses valuation approaches that can be applied to …