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

Rheinlander, Thorsten and Steiger, Gallus (2006) The minimal entropy martingale measure for general Barndorff-Nielsen/Shephard models. Annals of Applied Probability, 16 (3). pp. 1319-1351. ISSN 1050-5164

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Identification Number: 10.1214/105051606000000240

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 Lévy 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.

Item Type: Article
Official URL: http://www.imstat.org/aap/
Additional Information: © 2006 IMS
Divisions: Statistics
Subjects: Q Science > QA Mathematics
JEL classification: A - General Economics and Teaching > A1 - General Economics
Date Deposited: 12 Aug 2008 12:03
Last Modified: 13 Sep 2024 22:04
URI: http://eprints.lse.ac.uk/id/eprint/16351

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