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Nonlinear Analysis
Volume 63, Issues 5-7, 30 November 2005-15 December 2005, Pages e569-e577
Invited Talks from the Fourth World Congress of Nonlinear Analysts (WCNA 2004)
 
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doi:10.1016/j.na.2005.01.083    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2005 Elsevier Ltd All rights reserved.

On exit times of multivariate random walk with some applications to finance

J. DshalalowE-mail The Corresponding Author

Department of Mathematical Sciences, Florida Institute of Technology, 150 W, University Blvd., Melbourne, FL 32901, USA


Available online 17 March 2005.

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Abstract

This paper analyzes multivariate delayed random walk processes and multivariate Poisson processes and presents some applications to the stock market. When trading with stock options or having, a stock portfolio (including ones by mutual funds), we are interested in various parameters, such as exit times and stock exit price values when the stock drops or when it exceeds a specified price, or even one trade ahead of the time when an exit would occur. We obtain closed form functionals of the named random parameters. We also present an example of a random walk embedded in a multivariate Poisson process.

Article Outline

1. Introduction
2. Functionals of multivariate random walk
3. Multivariate Poisson marked processes
4. Embedded random walk
References

Nonlinear Analysis
Volume 63, Issues 5-7, 30 November 2005-15 December 2005, Pages e569-e577
Invited Talks from the Fourth World Congress of Nonlinear Analysts (WCNA 2004)
 
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