In this paper we offer a systematic survey and comparison of the Esscher martingale transform for linear processes, the Esscher martingale transform for exponential processes, and the minimal entropy martingale measure for exponential Le´vy models, and present some new results in order to give a complete characterization of those classes of measures. We illustrate the results with several concrete examples in detail.

The Esscher Transforms and The Minimal Entropy Martingale Measure for Exponential Lévy Models

SGARRA, CARLO
2006-01-01

Abstract

In this paper we offer a systematic survey and comparison of the Esscher martingale transform for linear processes, the Esscher martingale transform for exponential processes, and the minimal entropy martingale measure for exponential Le´vy models, and present some new results in order to give a complete characterization of those classes of measures. We illustrate the results with several concrete examples in detail.
2006
Esscher Transform; Minimal Entropy; Martingale Measure; Levy Processes
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/554235
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