Observing stock market fluctuation in networks of stocks

Chi Kong Tse, J. Liu, Chung Ming Lau, K. He

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

4 Citations (Scopus)

Abstract

In this paper we study the structural variation of the network formed by connecting Standard & Poor's 500 (S&P500) stocks whose closing prices (or price returns) are highly correlated. Specifically we consider S&P500 stocks that were traded from January 1, 2000 to December 31, 2004, and construct complex networks based on cross correlation between the time series of the closing prices (or price returns) over a fixed period of time. A simple threshold approach is used for establishing connections between stocks. The period over which the network is constructed is 20 trading days, which should be long enough to produce meaningful cross correlation values, but sufficiently short in order to avoid averaging effects that smooth off the salient fluctuations. A network is constructed for each 20-trading-day window in the entire trading period under study. The window moves at a 1-trading-day step. The power-law exponent is determined for each window, along with the corresponding mean error of the power law approximation which reflects how closely the degree distribution resembles a scalefree-like distribution. The key finding is that the scalefreeness of the degree distribution is disrupted when the market experiences fluctuation. Thus, the mean error of the power-law approximation becomes an effective indicative parameter of the volatility of the stock market.
Original languageEnglish
Title of host publicationComplex Sciences - First International Conference, Complex 2009, Revised Papers
Pages2099-2108
Number of pages10
EditionPART 2
DOIs
Publication statusPublished - 1 Dec 2009
Event1st International Conference on Complex Sciences: Theory and Applications, Complex 2009 - Shanghai, China
Duration: 23 Feb 200925 Feb 2009

Publication series

NameLecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering
NumberPART 2
Volume5 LNICST
ISSN (Print)1867-8211

Conference

Conference1st International Conference on Complex Sciences: Theory and Applications, Complex 2009
Country/TerritoryChina
CityShanghai
Period23/02/0925/02/09

ASJC Scopus subject areas

  • Computer Networks and Communications

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