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Forward-backward systems for expected utility maximization
Horst U., Hu Y., Imkeller P., Reveillac A., Zhang J.
http://hal.archives-ouvertes.fr/hal-00631727
Preprint, Working Paper, ...
Mathematics/Probability
Forward-backward systems for expected utility maximization
Ulrich Horst () 1, Ying Hu () 2, Peter Imkeller () 1, Anthony Reveillac ( ) 3, Jianing Zhang () 4
1:  Institut für Mathematik
http://www.math.hu-berlin.de/
Humboldt Universität zu Berlin
Unter den Linden 6 10099 Berlin
Germany
2:  Institut de Recherche Mathématique de Rennes (IRMAR)
http://irmar.univ-rennes1.fr/
CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne
France
3:  CEntre de REcherches en MAthématiques de la DEcision (CEREMADE)
http://www.ceremade.dauphine.fr/index.html
CNRS : UMR7534 – Université Paris IX - Paris Dauphine
Place du Maréchal de Lattre de Tassigny 75775 - Paris Cedex 16
France
4:  Weierstrass Institute for Applied Analysis and Stochastics (WIAS)
http://www.wias-berlin.de/
Forschungsverbund Berlin e.V. (FVB)
Mohrenstr. 39 * 10117 Berlin
Germany
Processus stochastiques
In this paper we deal with the utility maximization problem with a general utility function. We derive a new approach in which we reduce the utility maximization problem with general utility to the study of a fully-coupled Forward-Backward Stochastic Differential Equation (FBSDE).
English
2011-10-12

Forward-Backward Stochastic Differential Equations – utility maximization
MSC: 60H10; 93E20; JEL: C61; D52; D53

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