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Article Dans Une Revue The Annals of Applied Probability Année : 2023

Stability of the Weak Martingale Optimal Transport Problem

Résumé

While many questions in (robust) finance can be posed in the martingale optimal transport (MOT) framework, others require to consider also non-linear cost functionals. Following the terminology of Gozlan, Roberto, Samson and Tetali this corresponds to weak martingale optimal transport (WMOT). In this article we establish stability of WMOT which is important since financial data can give only imprecise information on the underlying marginals. As application, we deduce the stability of the superreplication bound for VIX futures as well as the stability of stretched Brownian motion and we derive a monotonicity principle for WMOT.

Dates et versions

hal-03344429 , version 1 (15-09-2021)

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Mathias Beiglböck, Benjamin Jourdain, William Margheriti, Gudmund Pammer. Stability of the Weak Martingale Optimal Transport Problem. The Annals of Applied Probability, 2023, 33 (6B), ⟨10.1214/23-AAP1950⟩. ⟨hal-03344429⟩
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