Pathwise construction of affine processes

preprint2014arXivOpen access

Abstract

Based on the theory of multivariate time changes for Markov processes, we show how to identify affine processes as solutions of certain time change equations. The result is a strong version of a theorem presented by J. Kallsen (2006) which provides a representation in law of an affine process as a time-change transformation of a family of independent Lévy processes.

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