# Polynomial processes and their applications to mathematical finance

@article{Cuchiero2012PolynomialPA,
title={Polynomial processes and their applications to mathematical finance},
author={Christa Cuchiero and Martin Keller-Ressel and Josef Teichmann},
journal={Finance and Stochastics},
year={2012},
volume={16},
pages={711-740}
}
• Published 30 December 2008
• Mathematics
• Finance and Stochastics
We introduce a class of Markov processes, called m-polynomial, for which the calculation of (mixed) moments up to order m only requires the computation of matrix exponentials. This class contains affine processes, processes with quadratic diffusion coefficients, as well as Lévy-driven SDEs with affine vector fields. Thus, many popular models such as exponential Lévy models or affine models are covered by this setting. The applications range from statistical GMM estimation procedures to new…
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