Path properties and regularity of affine processes on general state spaces
Probability
2013-01-17 v2 General Finance
Abstract
We provide a new proof for regularity of affine processes on general state spaces by methods from the theory of Markovian semimartingales. On the way to this result we also show that the definition of an affine process, namely as stochastically continuous time-homogeneous Markov process with exponential affine Fourier-Laplace transform, already implies the existence of a c\`adl\`ag version. This was one of the last open issues in the fundaments of affine processes.
Cite
@article{arxiv.1107.1607,
title = {Path properties and regularity of affine processes on general state spaces},
author = {Christa Cuchiero and Josef Teichmann},
journal= {arXiv preprint arXiv:1107.1607},
year = {2013}
}
Comments
final version for publication in seminaire de probabilite