Content area

Abstract

This paper is intended as an investigation of the statistical properties of {\it absolute log-returns}, defined as the absolute value of the logarithmic price change, for the Nikkei 225 index in the 28-year period from January 4, 1975 to December 30, 2002. We divided the time series of the Nikkei 225 index into two periods, an inflationary period and a deflationary period. We have previously [18] found that the distribution of absolute log-returns can be approximated by the power-law distribution in the inflationary period, while the distribution of absolute log-returns is well described by the exponential distribution in the deflationary period.\par To further explore these empirical findings, we have introduced a model of stock markets which was proposed in [19,20]. In this model, the stock market is composed of two groups of traders: {\it the fundamentalists}, who believe that the asset price will return to the fundamental price, and {\it the interacting traders}, who can be noise traders. We show through numerical simulation of the model that when the number of interacting traders is greater than the number of fundamentalists, the power-law distribution of absolute log-returns is generated by the interacting traders' herd behavior, and, inversely, when the number of fundamentalists is greater than the number of interacting traders, the exponential distribution of absolute log-returns is generated.

Details

1009240
Title
Statistical properties of absolute log-returns and a stochastic model of stock markets with heterogeneous agents
Publication title
arXiv.org; Ithaca
Publication year
2006
Publication date
Mar 17, 2006
Section
Physics (Other); Quantitative Finance
Publisher
Cornell University Library, arXiv.org
Source
arXiv.org
Place of publication
Ithaca
Country of publication
United States
University/institution
Cornell University Library arXiv.org
e-ISSN
2331-8422
Source type
Working Paper
Language of publication
English
Document type
Working Paper
Publication history
 
 
Online publication date
2018-08-07
Milestone dates
2006-03-17 (Submission v1)
Publication history
 
 
   First posting date
07 Aug 2018
ProQuest document ID
2092909305
Document URL
https://www.proquest.com/working-papers/statistical-properties-absolute-log-returns/docview/2092909305/se-2?accountid=208611
Full text outside of ProQuest
Copyright
Notwithstanding the ProQuest Terms and conditions, you may use this content in accordance with the associated terms available at http://arxiv.org/abs/physics/0603139.
Last updated
2020-07-23
Database
ProQuest One Academic