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EXPECTED UTILITY MAXIMISATION FOR EXPONENTIAL LEVY MODELS WITH OPTION AND INFORMATION PROCESSES

Abstract : We consider expected utility maximisation problem for exponential Levy models and HARA utilities in presence of illiquid asset in portfolio. This illiquid asset is modelled by an option of European type on another risky asset which is correlated with the first one. Under some hypothesis on Levy processes, we give the expressions of information processes figured in maximum utility formula. As applications, we consider Black-Scholes models with correlated Brownian Motions, and also Black-Scholes models with jump part represented by Poisson process.
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https://hal.archives-ouvertes.fr/hal-01388047
Contributor : Lioudmila Vostrikova <>
Submitted on : Wednesday, October 26, 2016 - 1:57:21 PM
Last modification on : Monday, March 9, 2020 - 6:15:56 PM

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  • HAL Id : hal-01388047, version 1

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Lioudmila Vostrikova. EXPECTED UTILITY MAXIMISATION FOR EXPONENTIAL LEVY MODELS WITH OPTION AND INFORMATION PROCESSES. 2016. ⟨hal-01388047⟩

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