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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