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Utility Maximisation for Exponential Levy Models with option and information processes

Lioudmila Vostrikova

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Abstract: We consider utility maximisation problem for exponential Levy models and HARA utilities in presence of illiquid asset. 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 for 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.

New Economics Papers: this item is included in nep-upt
Date: 2015-09
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