Power Law Analysis of Financial Index Dynamics

Joint Authors

Duarte, Fernando B.
Duarte, Gonçalo Monteiro
Tenreiro Machado, José António

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-07-10

Country of Publication

Egypt

No. of Pages

12

Main Subjects

Mathematics

Abstract EN

Power law (PL) and fractional calculus are two faces of phenomena with long memory behavior.

This paper applies PL description to analyze different periods of the business cycle.

With such purpose the evolution of ten important stock market indices (DAX, Dow Jones, NASDAQ, Nikkei, NYSE, S&P500, SSEC, HSI, TWII, and BSE) over time is studied.

An evolutionary algorithm is used for the fitting of the PL parameters.

It is observed that the PL curve fitting constitutes a good tool for revealing the signal main characteristics leading to the emergence of the global financial dynamic evolution.

American Psychological Association (APA)

Tenreiro Machado, José António& Duarte, Fernando B.& Duarte, Gonçalo Monteiro. 2012. Power Law Analysis of Financial Index Dynamics. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-447254

Modern Language Association (MLA)

Tenreiro Machado, José António…[et al.]. Power Law Analysis of Financial Index Dynamics. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-447254

American Medical Association (AMA)

Tenreiro Machado, José António& Duarte, Fernando B.& Duarte, Gonçalo Monteiro. Power Law Analysis of Financial Index Dynamics. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-447254

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-447254