Representations for optimal stopping under dynamic monetary utility functionals

Arbeitspapier

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.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: SFB 649 Discussion Paper ; No. 2009,055

Classification and Topics

• Classification: Wirtschaft ; Optimization Techniques; Programming Models; Dynamic Analysis ; Computational Techniques; Simulation Modeling ; Asset Pricing; Trading Volume; Bond Interest Rates ; Contingent Pricing; Futures Pricing; option pricing
• Subject: monetary utility functionals ; optimal stopping ; duality ; policy iteration ; Risiko ; Bewertung ; Nutzenfunktion ; Suchtheorie ; Optionspreistheorie ; Theorie

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Krätschmer, Volker ; Schoenmakers, John G. M.
• Event: Veröffentlichung
• (who): Humboldt University of Berlin, Collaborative Research Center 649 - Economic Risk
• (where): Berlin
• (when): 2009

Further information

• Handle: http://hdl.handle.net/10419/39291
• Last update: 10.03.2025, 11:41 AM CET