A maximum principle for controlled stochastic factor model



Socgnia, Virginie Konlack and Pamen, Olivier Menoukeu
(2018) A maximum principle for controlled stochastic factor model. ESAIM: Control, Optimisation and Calculus of Variations, 24 (2). pp. 495-517.

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Abstract

<jats:p>In the present work, we consider an optimal control for a three-factor stochastic factor model. We assume that one of the factors is not observed and use classical filtering technique to transform the partial observation control problem for stochastic differential equation (SDE) to a full observation control problem for stochastic partial differential equation (SPDE). We then give a sufficient maximum principle for a system of controlled SDEs and degenerate SPDE. We also derive an equivalent stochastic maximum principle. We apply the obtained results to study a pricing and hedging problem of a commodity derivative at a given location, when the convenience yield is not observable.</jats:p>

Item Type: Article
Depositing User: Symplectic Admin
Date Deposited: 29 Aug 2017 08:19
Last Modified: 19 Jan 2023 06:56
DOI: 10.1051/cocv/2017053
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3009192