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The minimal entropy martingale measure for general Barndorff-Nielsen/Shephard models

Thorsten Rheinl\"ander and Gallus Steiger

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Abstract: We determine the minimal entropy martingale measure for a general class of stochastic volatility models where both price process and volatility process contain jump terms which are correlated. This generalizes previous studies which have treated either the geometric L\'{e}vy case or continuous price processes with an orthogonal volatility process. We proceed by linking the entropy measure to a certain semi-linear integro-PDE for which we prove the existence of a classical solution.

Date: 2006-10
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Citations: View citations in EconPapers (6)

Published in Annals of Applied Probability 2006, Vol. 16, No. 3, 1319-1351

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