The ARCH and GARCH processes have been successfully used for modelling price dynamics such as stock returns or foreign exchange rates. Analysing the long range correlations between stocks, we propose a model, based on the GARCH process, which is able to describe the main characteristics of the stock price correlations, including the mean, variance, probability density distribution and the noise spectrum.
Funding
The second author acknowledges support from the Leverhulme foundation.
History
School
Science
Department
Physics
Published in
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume
410
Pages
623 - 627 (5)
Citation
PRAT-ORTEGA, G. and SAVEL'EV, S., 2014. Stochastic GARCH dynamics describing correlations between stocks. Physica A - Statistical Mechanics and Its Applications, 410, pp. 623 - 627.
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