Decomposing cryptocurrency high-frequency price dynamics into recurring and noisy components

Author:

Wątorek Marcin1ORCID,Skupień Maria2ORCID,Kwapień Jarosław3ORCID,Drożdż Stanisław13ORCID

Affiliation:

1. Faculty of Computer Science and Telecommunications, Cracow University of Technology 1 , ul. Warszawska 24, 31-155 Kraków, Poland

2. Department of Mathematics, Pedagogical University of Cracow 2 , ul. Podchorążych 2, 30-084 Kraków, Poland

3. Complex Systems Theory Department, Institute of Nuclear Physics, Polish Academy of Sciences 3 , Radzikowskiego 152, 31-342 Kraków, Poland

Abstract

This paper investigates the temporal patterns of activity in the cryptocurrency market with a focus on Bitcoin, Ethereum, Dogecoin, and WINkLink from January 2020 to December 2022. Market activity measures—logarithmic returns, volume, and transaction number, sampled every 10 s, were divided into intraday and intraweek periods and then further decomposed into recurring and noise components via correlation matrix formalism. The key findings include the distinctive market behavior from traditional stock markets due to the nonexistence of trade opening and closing. This was manifested in three enhanced-activity phases aligning with Asian, European, and U.S. trading sessions. An intriguing pattern of activity surge in 15-min intervals, particularly at full hours, was also noticed, implying the potential role of algorithmic trading. Most notably, recurring bursts of activity in bitcoin and ether were identified to coincide with the release times of significant U.S. macroeconomic reports, such as Nonfarm payrolls, Consumer Price Index data, and Federal Reserve statements. The most correlated daily patterns of activity occurred in 2022, possibly reflecting the documented correlations with U.S. stock indices in the same period. Factors that are external to the inner market dynamics are found to be responsible for the repeatable components of the market dynamics, while the internal factors appear to be substantially random, which manifests itself in a good agreement between the empirical eigenvalue distributions in their bulk and the random-matrix theory predictions expressed by the Marchenko–Pastur distribution. The findings reported support the growing integration of cryptocurrencies into the global financial markets.

Publisher

AIP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Correlations versus noise in the NFT market;Chaos: An Interdisciplinary Journal of Nonlinear Science;2024-07-01

2. Characteristics of price related fluctuations in non-fungible token (NFT) market;Chaos: An Interdisciplinary Journal of Nonlinear Science;2024-01-01

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