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The Standard & Poor’s 500 Index and The Chaotic Growth Model

 

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

 

7th International Scientific ERAZ Conference – ERAZ 2021 – Conference Proceedings: KNOWLEDGE BASED SUSTAINABLE DEVELOPMENT,  Online/virtual, May 27, 2021

ERAZ Conference Proceedings published by: Association of Economists and Managers of the Balkans – Belgrade, Serbia

ERAZ conference partners: Faculty of Economics and Business, Mediterranean University, Montenegro; University of National and World Economy – Sofia, Bulgaria; Faculty of Commercial and Business Studies – Celje, Slovenia; AMBIS University, Prague – Czech Republic; Faculty of Applied Management, Economics and Finance – Belgrade, Serbia

ERAZ Conference 2021 Conference Proceedings: ISBN 978-86-80194-46-2, ISSN 2683-5568, DOI: https://doi.org/10.31410/ERAZ.2021

Keywords:
Financial markets;
Financial crises;
Equilibrium

DOI: https://doi.org/10.31410/ERAZ.2021.163

Abstract: Standard & Poor’s 500 Index (the S&P 500) includes the stocks of 500 of the most widely traded stocks in the U.S. It represents about 80% of the total value of U.S. stock markets. The basic aims of this paper are: firstly, to create the simple chaotic stock market index growth model that is capa­ble of generating stable equilibrium, cycles, or chaos; secondly, to analyze the local stability of the S&P 500 index movements in the period 1932-1982; thirdly, to analyze the local stability of the S&P 500 index movements in the period 1982-2009; and fourthly, to discover the equilibrium levels of the S&P 500 index in the observed periods. This paper confirms the existence of the stable convergent fluctuations of the S&P 500 index in the observed periods. Further, two Elliot wave patterns were identified in the period 1932-2009. Also, the golden ratio can be used to define the equilibrium level of the S&P 500 index in the presented chaotic model.

ERAZ Conference

Creative Commons Non Commercial CC BY-NC: This article is distributed under the terms of the Creative Commons Attribution-Non-Commercial 4.0 License (https://creativecommons.org/licenses/by-nc/4.0/) which permits non-commercial use, reproduction and distribution of the work without further permission. 

ERAZ Conference Open Access

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. (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.

http://www.macrotrends.net/2324/sp-500-historical-chart-data

www.standardandpoors.com)