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Power Law Distributions for Stock Prices in Financial Markets

2004/12/01 by Kyungsik Kim, Kim, Kyungsik, S. -M. Yoon +5
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Economics and business #FOS: Physical sciences #Opinion Dynamics and Social Influence #Other Condensed Matter (cond-mat.other) #Statistical Finance (q-fin.ST) #Statistical Mechanics and Entropy #cond-mat.other #q-fin.ST

paper · pdf · doi:10.48550/arxiv.cond-mat/0412014

7 pages, 12 figures, latex

arxiv created 2004/12/01 · openalex publication_date 2004/12/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the rank distribution, the cumulative probability, and the probability density of returns of stock prices of listed firms traded in four stock markets. We find that the rank distribution and the cumulative probability of stock prices traded in are consistent approximately with the Zipf's law or a power law. It is also obtained that the probability density of normalized returns for listed stocks almost has the form of the exponential function. Our results are compared with those of other numerical calculations.

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