Connections between a system of forward–backward SDEs and backward stochastic PDEs related to the utility maximization problem

Connections between a system of Forward–Backward SDEs derived in Horst et al., (2014) and Backward Stochastic PDEs (Mania and Tevzadze, 2010) related to the utility maximization problem are established. Besides, we derive another version of Forward–Backward SDE of the same problem and prove the exis...

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Bibliographic Details
Main Authors: Michael Mania, Revaz Tevzadze
Format: Article
Language:English
Published: Elsevier 2018-12-01
Series:Transactions of A. Razmadze Mathematical Institute
Online Access:http://www.sciencedirect.com/science/article/pii/S2346809218300928