Analysis of price diffusion in financial markets using PUCK model

Takayuki Mizuno; Hideki Takayasu; Misako Takayasu

doi:10.1016/j.physa.2007.02.049

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Analysis of price diffusion in financial markets using PUCK model

Takayuki Mizuno·Hideki Takayasu·Misako Takayasu

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Abstract

Based on the new type of random walk process called the Potentials of Unbalanced Complex Kinetics (PUCK) model, we theoretically show that the price diffusion in large scales is amplified 2/(2 + b) times, where b is the coefficient of quadratic term of the potential. In short time scales the price diffusion depends on the size M of the super moving average. Both numerical simulations and real data analysis of Yen-Dollar rates are consistent with theoretical analysis.

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Takayuki Mizuno, Hideki Takayasu, Misako Takayasu. 2006-08-10. Analysis of price diffusion in financial markets using PUCK model. https://doi.org/10.1016/j.physa.2007.02.049

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