Drożdż Stanisław, Minati Ludovico, Oświȩcimka Paweł, Stanuszek Marek, Wa Torek Marcin
Complex Systems Theory Department, Institute of Nuclear Physics Polish Academy of Sciences, ul. Radzikowskiego 152, 31-342 Kraków, Poland.
Faculty of Computer Science and Telecommunication, Cracow University of Technology, ul. Warszawska 24, 31-155 Kraków, Poland.
Chaos. 2020 Feb;30(2):023122. doi: 10.1063/1.5139634.
Cross correlations in fluctuations of the daily exchange rates within the basket of the 100 highest-capitalization cryptocurrencies over the period October 1, 2015-March 31, 2019 are studied. The corresponding dynamics predominantly involve one leading eigenvalue of the correlation matrix, while the others largely coincide with those of Wishart random matrices. However, the magnitude of the principal eigenvalue, and thus the degree of collectivity, strongly depends on which cryptocurrency is used as a base. It is largest when the base is the most peripheral cryptocurrency; when more significant ones are taken into consideration, its magnitude systematically decreases, nevertheless preserving a sizable gap with respect to the random bulk, which in turn indicates that the organization of correlations becomes more heterogeneous. This finding provides a criterion for recognizing which currencies or cryptocurrencies play a dominant role in the global cryptomarket. The present study shows that over the period under consideration, the Bitcoin (BTC) predominates, hallmarking exchange rate dynamics at least as influential as the U.S. dollar (USD). Even more, the BTC started dominating around the year 2017, while other cryptocurrencies, such as the Ethereum and even Ripple, assumed similar trends. At the same time, the USD, an original value determinant for the cryptocurrency market, became increasingly disconnected, and its related characteristics eventually started approaching those of a fictitious currency. These results are strong indicators of incipient independence of the global cryptocurrency market, delineating a self-contained trade resembling the Forex.
研究了2015年10月1日至2019年3月31日期间市值最高的100种加密货币篮子中每日汇率波动的交叉相关性。相应的动态主要涉及相关矩阵的一个主导特征值,而其他特征值在很大程度上与威沙特随机矩阵的特征值一致。然而,主特征值的大小,也就是集体程度,很大程度上取决于用作基准的加密货币。当基准是最边缘的加密货币时,它最大;当考虑更重要的加密货币时,其大小会系统性地减小,但与随机主体相比仍保持相当大的差距,这反过来表明相关性的组织变得更加异质。这一发现为识别哪些货币或加密货币在全球加密市场中起主导作用提供了一个标准。本研究表明,在所考虑的时期内,比特币(BTC)占主导地位,其汇率动态至少与美元(USD)一样有影响力。甚至,比特币在2017年左右开始占据主导地位,而其他加密货币,如以太坊甚至瑞波币,也呈现出类似趋势。与此同时,作为加密货币市场原始价值决定因素的美元变得越来越脱节,其相关特征最终开始接近虚拟货币的特征。这些结果有力地表明全球加密货币市场开始走向独立,勾勒出一种类似于外汇的独立交易形式。