Stationarity and ergodicity for an affine two factor model
We study the existence of a unique stationary distribution and ergodicity for a 2-dimensional affine process. The first coordinate is supposed to be a so-called alpha-root process with \alpha\in(1,2]. The existence of a unique stationary distribution for the affine process is proved in case of \alpha\in(1,2]; further, in case of \alpha=2, the ergodicity is also shown.
|Date of creation:||Feb 2013|
|Date of revision:||Sep 2013|
|Publication status:||Published in Advances in Applied Probability 46 (3), 2014, 878-898|
|Contact details of provider:|| Web page: http://arxiv.org/|
References listed on IDEAS
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- Damir Filipovi\'c & Eberhard Mayerhofer & Paul Schneider, 2011. "Density Approximations for Multivariate Affine Jump-Diffusion Processes," Papers 1104.5326, arXiv.org, revised Oct 2011.
- Hui Chen & Scott Joslin, 2012.
"Generalized Transform Analysis of Affine Processes and Applications in Finance,"
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Society for Financial Studies, vol. 25(7), pages 2225-2256.
- Hui Chen & Scott Joslin, 2011. "Generalized Transform Analysis of Affine Processes and Applications in Finance," NBER Working Papers 16906, National Bureau of Economic Research, Inc.
- Leif Andersen & Vladimir Piterbarg, 2007. "Moment explosions in stochastic volatility models," Finance and Stochastics, Springer, vol. 11(1), pages 29-50, January.
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