Abstract
We consider a model for a financial market where the asset prices satisfy a stochastic differential equation. For the volatility no new source of randomness is introduced, but the volatility at each time depends deterministically on all previous price fluctuations. Such non-constant volatility models preserve the completeness of the market while they allow for many attractive features.
Keywords
- Hide Markov Model
- Markov Chain Monte Carlo
- Markov Chain Monte Carlo Method
- Stochastic Volatility Model
- Stock Model
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
supported by FWF Project P17947-N12
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
M. Hahn, S. Frühwirth-Schnatter, and J. Sass, Markov chain Monte Carlo methods for parameter estimation in multidimensional continuous time Markov switching models, preprint (2005).
M. Hahn, W. Putschögl, and J. Sass, Portfolio optimization with non-constant volatility and partial information, Brazilian Journal of Probability and Statistics (2006), to appear.
D. G. Hobson and L. C. G. Rogers, Complete models with stochastic volatility, Mathematical Finance 8 (1998), no. 1, 27–48.
E. Jacquier, N. G. Polson, and P. E. Rossi, Bayesian analysis of stochastic volatility models, Journal of Business & Economic Statistics 12 (1994), no. 4, 371–89.
A. Platania and L. C. G. Rogers, Putting the Hobson-Rogers model to the test, preprint (2005).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Hahn, M., Putschögl, W., Sass, J. (2007). Parameter Estimation for Stock Models with Non-Constant Volatility Using Markov Chain Monte Carlo Methods. In: Waldmann, KH., Stocker, U.M. (eds) Operations Research Proceedings 2006. Operations Research Proceedings, vol 2006. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69995-8_38
Download citation
DOI: https://doi.org/10.1007/978-3-540-69995-8_38
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69994-1
Online ISBN: 978-3-540-69995-8
eBook Packages: Business and EconomicsBusiness and Management (R0)