Using the First Passage Times in Markov Chain Model to Support Financial Decisions on the Stock Exchange
DOI:
https://doi.org/10.12775/DEM.2016.003Keywords
Markov Chain, First passage times, Normal white noise, VaR.Abstract
The purpose of this article is to present the possibilities of using such a tool as Markov Chain to analyse the dynamics of returns observed at the Warsaw Stock Exchange. Process analysis is the basis for decision-making with regard to the accepted horizon. Expected times for achieving specified states, understood as intervals of rates of return, in particular those describing negative rates of return, are extremely important. In this context, there is a possibility of determining easily the value at risk with the accepted probability.References
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Doman, M., Doman, R. (2009), Modelowanie zmienności i ryzyka,Wolter Kluwer Polska, Kraków.
Decewicz, A. (2011), Probabilistyczne modele badań operacyjnych, Oficyna Wydawnicza SGH, Warszawa.
Podgórska, M., Śliwka, P., Topolewski, M., Wrzosek, M. (2002), Łańcuchy Markowa w teorii i w zastosowaniach, Oficyna Wydawnicza SGH, Warszawa.
Ching, W., Ng, M.,K. (2006) Markov Chains Models, Algorithms and Applications, Springer Science+Business Media.
Stawicki, J. (2004), Wykorzystanie
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