Vesna Jablanovic – University of Belgrade, Faculty of Agriculture, Nemanjina 6, 11081 Belgrade, Serbia

 

DOI: https://doi.org/10.31410/ITEMA.2020.113

 

4th International Scientific Conference on Recent Advances in Information Technology, Tourism, Economics, Management and Agriculture – ITEMA 2020, Online/virtual, October 8, 2020, CONFERENCE PROCEEDINGS published by the Association of Economists and Managers of the Balkans, Belgrade; Printed by: SKRIPTA International, Belgrade, ISBN 978-86-80194-36-3, ISSN 2683-5991, DOI: https://doi.org/10.31410/ITEMA.2020

 

 

Abstract

The Dow Jones Industrial Average (DJIA) index includes the stocks of 30 of the largest companies in the United States. It represents about a quarter of the value of the entire U.S. stock market. The changes in the DJIA index are often considered to be representative of the entire stock market. The basic aims of this paper are: firstly, to create the simple chaotic the DJIA stock market index growth model that is capable of generating stable equilibria, cycles, or chaos; secondly, to analyze the local stability of the DJIA index movements in the period 1982-2009; and thirdly, to discover the equilibrium level of the DJIA index in the observed period. This paper confirms the existence of the stable convergent fluctuations of the DJIA index in the observed period. Also, the golden ratio can be used to define the equilibrium level of the DJIA index in the presented chaotic model.

 

Keywords

DJIA index, Stability, Elliot waves, Chaos.


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References

Benhabib, J., & Day, R. H. (1981). Rational choice and erratic behaviour. Review of Economic Studies, 48, 459-471.
Benhabib, J., & Day, R. H. (1982). Characterization of erratic dynamics in the overlapping generation model. Journal of Economic Dynamics and Control, 4, 37-55.
Day, R. H. (1982). Irregular growth cycles. American Economic Review, 72, 406-414.
Day, R. H. (1983). The emergence of chaos from classical economic growth, Quarterly Journal of Economics, 98, 200-213.
Frost A.J. & R.P. Prechter, (2006) Elliott Wave Principle: A Key to Market Behavior. https://0104.nccdn.net/1_5/1d1/31d/37b/A.J.-Frost–Robert-Prechter—Elliott-Wave-Principle.pdf
Goodwin, R. M. (1990). Chaotic economic dynamics. Oxford: Clarendon Press.
Grandmont, J. M. (1985). On endogenous competitive business cycle. Econometrica, 53, 994-1045.
Jablanović V. (2011). A Chaotic Unemployment Rate Growth Model. Hyperion International Journal of Econophysics &New Economy, Volume 4, Issue 1, 45-51.
Jablanović, V. (2012). Budget Deficit and Chaotic Economic Growth Models. Aracne editrice S.r.l, Roma.
Jablanovic, V. (2013) Elements of Chaotic Microeconomics. Roma: Aracne editrice S.r.l.
Jablanovic, V. (2016) A Contribution to the Chaotic Economic Growth Theory. Roma: Aracne editrice S.r.l .
Li, T., & Yorke, J. (1975) Period three implies chaos. American Mathematical Monthly, 8, 985-992.
Lidwell, W, Holden K., & J. Butler (2010) Universal Principles of Design, Revised and Updated, Rockport Publishers, Inc.

Lorenz, E. N. (1963). Deterministic nonperiodic flow, Journal of Atmospheric Sciences, 20, 130-141.
Lorenz, H. W. (1993). Nonlinear dynamical economics and chaotic motion (2nd ed.). Heidelberg: Springer-Verlag.
May, R. M. (1976). Mathematical models with very complicated dynamics. Nature, 261, 459-467.
Medio, A. (1993). Chaotic dynamics: Theory and applications to economics. Cambridge: Cambridge University Press.
Puu, T. (2003). Attractors, Bifurcations, and Chaos – Nonlinear Phenomena in Economics. Springer.
Zhang W.B. (2012). Discrete Dynamical Systems, Bifurcations and Chaos in Economics, Elsevier B.V.

 

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