A dynamic version of the super-replication theorem under proportional transaction costs

Biagini, Francesca und Reitsam, Thomas (2023): A dynamic version of the super-replication theorem under proportional transaction costs. In: Stochastic Analysis and Applications, Bd. 41, Nr. 1: S. 80-101

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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik > Finanz- und Versicherungsmathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0736-2994
• Sprache: Englisch