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Biagini, Francesca ORCID logoORCID: https://orcid.org/0000-0001-9801-5259 and Reitsam, Thomas (2023): A dynamic version of the super-replication theorem under proportional transaction costs. In: Stochastic Analysis and Applications, Vol. 41, No. 1: pp. 80-101

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Abstract

We extend the super-replication theorem in a dynamic setting, both in the numéraire-based as well as in the numéraire-free setting. For this purpose, we generalize the notion of admissible strategies. In particular, we obtain a well-defined super-replication price process, which is right-continuous under some regularity assumptions.

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