Stochastic Utilities With a Given Optimal Portfolio : Approach by Stochastic Flows
Computational Finance
2013-04-08 v2 Probability
Abstract
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 . 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.
Cite
@article{arxiv.1004.5192,
title = {Stochastic Utilities With a Given Optimal Portfolio : Approach by Stochastic Flows},
author = {N. El Karoui and Mohamed M'Rad},
journal= {arXiv preprint arXiv:1004.5192},
year = {2013}
}
Comments
arXiv admin note: text overlap with arXiv:0904.2913 by other authors