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arxiv: 1801.01011 · v2 · pith:GHO5R4ZUnew · submitted 2018-01-03 · 🧮 math.PR

Connections between a system of Forward-Backward SDEs and Backward Stochastic PDEs related to the utility maximization problem

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keywords problembackwardconnectionsforward-backwardpdesrelatedsdesstochastic
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Connections between a system of Forward-Backward SDEs and Backward Stochastic PDEs related to the utility maximiza- tion problem is established. Besides, we derive another version of FBSDE of the same problem and prove an existence of a solution

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