4.3 Article

Exponentially affine martingales, affine measure changes and exponential moments of affine processes

Journal

STOCHASTIC PROCESSES AND THEIR APPLICATIONS
Volume 120, Issue 2, Pages 163-181

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.spa.2009.10.012

Keywords

Affine processes; Exponential martingale; Uniform integrability; Change of measure; Exponential moments; Generalized Riccati equation

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We consider local martingales of exponential form M = e(x) or E(X), where X denotes one component of a multivariate affine process. We give a weak sufficient criterion for M to be a true martingale. As a first application, we derive a simple sufficient condition for absolute continuity of the laws of two given affine processes. As a second application, we study whether the exponential moments of an affine process solve a generalized Riccati equation. (C) 2009 Elsevier B.V. All rights reserved.

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