Normal Modified Stable Processes.

Working paper

<p>This paper discusses two classes of distributions, and stochastic processes derived from them: modified stable (<em>MS</em>) laws and normal modified stable (<em>NMS</em>) laws. This extends corresponding results for the generalised inverse Gaussian (<em>GIG</em>) and generalised hyperbolic (<em>GH</em>) or normal generalised inverse Gaussian (<em>NGIG</em>) laws. The wider framework thus established provides, in particular, for added flexibility in the modelling of the dynamics of financial time series, of importance especially as regards OU based stochastic volatility models for equities. In the special case of the tempered stable OU process an exact option pricing formula can be found, extending previous results based on the inverse Gaussian and gamma distributions.</p>

Authors: Shephard, N; Barndorff-Nielsen, O

• Publication status: Published
• Peer review status: Not peer reviewed
• Publisher: Department of Economics (University of Oxford)
• Series: Discussion paper series
• Publication date: 2001-10-15
• Language: English
• Subjects: Economics