Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2022
|
| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2211.00532 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866911243807227904 |
|---|---|
| author | Czichowsky, Christoph Huwyler, Raphael |
| author_facet | Czichowsky, Christoph Huwyler, Raphael |
| contents | We consider robust utility maximisation in continuous-time financial markets with proportional transaction costs under model uncertainty. For this purpose, we work in the framework of Chau and Rásonyi (2019), where robustness is achieved by maximising the worst-case expected utility over a possibly uncountable class of models that are all given on the same underlying filtered probability space. In this setting, we give sufficient conditions for the existence of an optimal trading strategy, extending the result for utility functions on the positive half-line of Chau and Rásonyi (2019) from continuous to general strictly positive càdlàg price processes and from complete to incomplete filtrations. Our result allows us to provide a positive answer to an open question pointed out in Chau and Rásonyi (2019), and shows that the embedding into a countable product space is not essential. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_00532 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Robust utility maximisation under proportional transaction costs for càdlàg price processes Czichowsky, Christoph Huwyler, Raphael Mathematical Finance We consider robust utility maximisation in continuous-time financial markets with proportional transaction costs under model uncertainty. For this purpose, we work in the framework of Chau and Rásonyi (2019), where robustness is achieved by maximising the worst-case expected utility over a possibly uncountable class of models that are all given on the same underlying filtered probability space. In this setting, we give sufficient conditions for the existence of an optimal trading strategy, extending the result for utility functions on the positive half-line of Chau and Rásonyi (2019) from continuous to general strictly positive càdlàg price processes and from complete to incomplete filtrations. Our result allows us to provide a positive answer to an open question pointed out in Chau and Rásonyi (2019), and shows that the embedding into a countable product space is not essential. |
| title | Robust utility maximisation under proportional transaction costs for càdlàg price processes |
| topic | Mathematical Finance |
| url | https://arxiv.org/abs/2211.00532 |