QUANTIFYING THE COVID-19 SHOCK IN CRYPTOCURRENCIES

Fractals Pub Date : 2024-01-18 DOI:10.1142/s0218348x24500191
L. H. Fernandes, J. W. Silva, Fernando H. A. Araujo, A. F. Bariviera
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Abstract

This paper sheds light on the changes suffered in cryptocurrencies due to the COVID-19 shock through a nonlinear cross-correlations and similarity perspective. We have collected daily price and volume data for the seven largest cryptocurrencies considering trade volume and market capitalization. For both attributes (price and volume), we calculate their volatility and compute the Multifractal Detrended Cross-Correlations (MF-DCCA) to estimate the complexity parameters that describe the degree of multifractality of the underlying process. We detect (before and during COVID-19) a standard multifractal behavior for these volatility time series pairs and an overall persistent long-term correlation. However, multifractality for price volatility time series pairs displays more persistent behavior than the volume volatility time series pairs. From a financial perspective, it reveals that the volatility time series pairs for the price are marked by an increase in the nonlinear cross-correlations excluding the pair Bitcoin versus Dogecoin [Formula: see text]. At the same time, all volatility time series pairs considering the volume attribute are marked by a decrease in the nonlinear cross-correlations. The K-means technique indicates that these volatility time series for the price attribute were resilient to the shock of COVID-19. While for these volatility time series for the volume attribute, we find that the COVID-19 shock drove changes in cryptocurrency groups.
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量化加密货币中的 covid-19 冲击
本文通过非线性交叉相关性和相似性的视角,揭示了 COVID-19 冲击给加密货币带来的变化。考虑到交易量和市值,我们收集了七种最大加密货币的每日价格和交易量数据。对于这两种属性(价格和交易量),我们计算了它们的波动率,并计算了多分形去趋势交叉相关性(MF-DCCA),以估计描述底层过程多分形程度的复杂性参数。我们发现(在 COVID-19 之前和期间)这些波动率时间序列对具有标准的多分形行为和整体持续的长期相关性。然而,价格波动率时间序列对的多分形比成交量波动率时间序列对显示出更持久的行为。从金融角度来看,它揭示了价格波动时间序列对的非线性交叉相关性增加的特点,其中不包括比特币与 Dogecoin 的对比[计算公式:见正文]。同时,考虑到交易量属性的所有波动时间序列对的非线性交叉相关性都有所下降。K-means 技术表明,这些价格属性的波动率时间序列对 COVID-19 的冲击具有抵抗力。而对于这些交易量属性的波动率时间序列,我们发现 COVID-19 的冲击推动了加密货币组的变化。
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