English

Analysis of price diffusion in financial markets using PUCK model

Physics and Society 2009-11-13 v1 Data Analysis, Statistics and Probability Statistical Finance

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.

Keywords

Cite

@article{arxiv.physics/0608115,
  title  = {Analysis of price diffusion in financial markets using PUCK model},
  author = {Takayuki Mizuno and Hideki Takayasu and Misako Takayasu},
  journal= {arXiv preprint arXiv:physics/0608115},
  year   = {2009}
}

Comments

8 pages, 4 figures, Proceedings of APFA5

R2 v1 2026-07-22T19:12:02.276Z