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Representations for optimal stopping under dynamic monetary utility functionals

Please always quote using this URN:urn:nbn:de:0296-matheon-7124
  • In this paper we consider the optimal stopping problem for general dynamic monetary utility functionals. Sufficient conditions for the Bellman principle and the existence of optimal stopping times are provided. Particular attention is payed to representations which allow for a numerical treatment in real situations. To this aim, generalizations of standard evaluation methods like policy iteration, dual and consumption based approaches are developed in the context of general dynamic monetary utility functionals. As a result, it turns out that the possibility of a particular generalization depends on specific properties of the utility functional under consideration.

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Metadaten
Author:Volker Kraetschmer, John Schoenmakers
URN:urn:nbn:de:0296-matheon-7124
Referee:Peter Imkeller
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2010/09/28
Release Date:2010/09/22
Institute:Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
Preprint Number:725
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