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Characteristic time scales of tick quotes on foreign currency markets: an empirical study and agent-based model
Authors:A-H Sato
Institution:(1) Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan
Abstract:Power spectrum densities for the number of tick quotes per minute (market activity) on three currency markets (USD/JPY, EUR/USD, and JPY/EUR) for periods from January 1999 to December 2000 are analyzed. We find some peaks on the power spectrum densities at a few minutes. We develop the double-threshold agent model and confirm that stochastic resonance occurs for the market activity of this model. We propose a hypothesis that the periodicities found on the power spectrum densities can be observed due to stochastic resonance.
Keywords:89  65  Gh Economics  econophysics  financial markets  business and management  87  15  Ya Fluctuations  02  50  -r Probability theory  stochastic processes  and statistics
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