Dynamic programming principle and computable prices in financial market models with transaction costs

Emmanuel Lepinette; Duc Thinh Vu

doi:10.1016/j.jmaa.2023.127068

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arXiv · 2405.06623

Dynamic programming principle and computable prices in financial market models with transaction costs

Emmanuel Lepinette·Duc Thinh Vu

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Abstract

How to compute (super) hedging costs in rather general fi- nancial market models with transaction costs in discrete-time ? Despite the huge literature on this topic, most of results are characterizations of the super-hedging prices while it remains difficult to deduce numerical procedure to estimate them. We establish here a dynamic programming principle and we prove that it is possible to implement it under some conditions on the conditional supports of the price and volume processes for a large class of market models including convex costs such as order books but also non convex costs, e.g. fixed cost models.

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Emmanuel Lepinette, Duc Thinh Vu. 2024-05-10. Dynamic programming principle and computable prices in financial market models with transaction costs. https://doi.org/10.1016/j.jmaa.2023.127068

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