This digital collection includes faculty publications from the Department of Finance and Real Estate and publications from the Everitt Real Estate Center.
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Browsing Department of Finance and Real Estate by Author "Canadian Applied Mathematics Quarterly, publisher"
(Colorado State University. Libraries, 2007-01) Elliott, Robert J., author; Tao, L., author; Miao, Hong, author; Canadian Applied Mathematics Quarterly, publisher
Prices for some real world tradable assets, for instance natural gas and oil, are correlated, and the price dynamics for those assets are different in different economic environments. In this paper we extend the mean reverting model to multi-assets and model correlation between prices. Our model also allows the means and the mean reverting factors to switch between different regimes by including a Hidden Markov chain which models the different economic environments, or "states of the world." We then obtain approximate estimates for the parameters by applying filters and the EM algorithm. Approximate derivative prices are also given.
