Open AccessThe Standard & Poor’s 500 Index and The Chaotic Growth Model
Author(s) -
Vesna D. Jablanović,
AUTHOR_ID
Publication year - 2021
Publication title -
international scientific conference eraz. knowledge based sustainable development
Language(s) - English
Resource type - Conference proceedings
ISSN - 2683-5568
DOI - 10.31410/eraz.2021.163
Subject(s) - index (typography) , chaotic , stock market index , economics , stability (learning theory) , stock market , mathematics , stock (firearms) , econometrics , mathematical economics , computer science , geography , management , context (archaeology) , archaeology , machine learning , world wide web
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.