Stochastic Utilities With a Given Optimal Portfolio : Approach by Stochastic Flows - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2010

Stochastic Utilities With a Given Optimal Portfolio : Approach by Stochastic Flows

Résumé

The paper generalizes the construction by stochastic flows of consistent utility processes introduced by M. Mrad and N. El Karoui in (2010). The utilities random fields are defined from a general class of processes denoted by $\GX$. Making minimal assumptions and convex constraints on test-processes, we construct by composing two stochastic flows of homeomorphisms, all the consistent stochastic utilities whose the optimal-benchmark process is given, strictly increasing in its initial condition. Proofs are essentially based on stochastic change of variables techniques.
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Dates et versions

hal-00477380 , version 1 (29-04-2010)
hal-00477380 , version 2 (05-04-2013)

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Nicole El Karoui, Mohamed M'Rad. Stochastic Utilities With a Given Optimal Portfolio : Approach by Stochastic Flows. 2010. ⟨hal-00477380v2⟩
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