Frequency analysis of tick quotes on the foreign exchange market and agent-based modeling: A spectral distance approach

Abstract

High-frequency financial data of the foreign exchange market (EUR/CHF, EUR/GBP, EUR/JPY, EUR/NOK, EUR/SEK, EUR/USD, NZD/USD, USD/CAD, USD/CHF, USD/JPY, USD/NOK, and USD/SEK) are analyzed by utilizing the Kullback-Leibler divergence between two normalized spectrograms of the tick frequency and the generalized Jensen-Shannon divergence among them. The temporal structure variations of the similarity between currency pairs is detected and characterized. A simple agent-based model in which $N$ market participants exchange $M$ currency pairs is proposed. The equation for the tick frequency is approximately derived theoretically. Based on the analysis of this model, the spectral distance of the tick frequency is associated with the similarity of the behavior (perception and decision) of the market participants in exchanging these currency pairs.

arXiv comment19 pages, 10 figures, APFA5

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Cited by in corpus (2)

• Application of spectral methods for high-frequency financial data to quantifying states of market participants
• The Fate of Ernst Ising and the Fate of his Model