Quantifying and interpreting collective behavior in financial markets
- 30 August 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 64 (3) , 035106
- https://doi.org/10.1103/physreve.64.035106
Abstract
Firms having similar business activities are correlated. We analyze two different cross-correlation matrices C constructed from (i) 30-min price fluctuations of 1000 US stocks for the two-year period 1994–95 and (ii) one-day price fluctuations of 422 US stocks for the 35-year period 1962–96. We find that the eigenvectors of C corresponding to the largest eigenvalues allow us to partition the set of all stocks into distinct subsets. These subsets are similar to business sectors, and are stable for extended periods of time. We find that price fluctuations of these subsets are characterized by power-law decaying time correlations, reminiscent of strongly interacting systems.Keywords
This publication has 10 references indexed in Scilit:
- Dynamics of competition between collectivity and noise in the stock marketPhysica A: Statistical Mechanics and its Applications, 2000
- Hierarchical structure in financial marketsZeitschrift für Physik B Condensed Matter, 1999
- Universal and Nonuniversal Properties of Cross Correlations in Financial Time SeriesPhysical Review Letters, 1999
- Noise Dressing of Financial Correlation MatricesPhysical Review Letters, 1999
- Statistical properties of the volatility of price fluctuationsPhysical Review E, 1999
- Physicists attempt to scale the ivory towers of financeComputing in Science & Engineering, 1999
- A Langevin approach to stock market fluctuations and crashesZeitschrift für Physik B Condensed Matter, 1998
- Mosaic organization of DNA nucleotidesPhysical Review E, 1994
- Spin GlassesPublished by Cambridge University Press (CUP) ,1991
- Theory of dynamic critical phenomenaReviews of Modern Physics, 1977