Modeling interactions of trading volumes in financial dynamics

F. Ren, B. Zheng and P. Chen

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 14, 2744-2750

Abstract: A dynamic herding model with interactions of trading volumes is introduced. At time t, an agent trades with a probability, which depends on the ratio of the total trading volume at time t−1 to its own trading volume at its last trade. The price return is determined by the volume imbalance and number of trades. The model can reproduce the power-law distributions of the trading volume, number of trades and price return, and the probable relation between them. The exponents are tunable by adjusting the values of the parameters, but show slight deviation from those revealed in empirical studies. Moreover, the time series generated are long-range correlated. We demonstrate that the results are rather robust, and do not depend on the particular form of the trading probability.

Keywords: Econophysics; Trading volume; Scaling; Complex systems (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:14:p:2744-2750

DOI: 10.1016/j.physa.2010.02.039

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