Multifractal Detrended Cross-Correlation Analysis of the Return-Volume Relationship of Bitcoin Market

We investigate the cross-correlations of return-volume relationship of the Bitcoin market. In particular, we select eight exchange rates whose trading volume accounts for more than 98% market shares to synthesize Bitcoin indexes. The empirical results based on multifractal detrended cross-correlatio...

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Main Authors: Wei Zhang, Pengfei Wang, Xiao Li, Dehua Shen
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/8691420
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author Wei Zhang
Pengfei Wang
Xiao Li
Dehua Shen
author_facet Wei Zhang
Pengfei Wang
Xiao Li
Dehua Shen
author_sort Wei Zhang
collection DOAJ
description We investigate the cross-correlations of return-volume relationship of the Bitcoin market. In particular, we select eight exchange rates whose trading volume accounts for more than 98% market shares to synthesize Bitcoin indexes. The empirical results based on multifractal detrended cross-correlation analysis (MF-DCCA) reveal that (1) the nonlinear dependencies and power-law cross-correlations in return-volume relationship are found; (2) all cross-correlations are multifractal, and there are antipersistent behaviors of cross-correlation for q=2; (3) the price of small fluctuations is more persistent than that of the volume, while the volume of larger fluctuations is more antipersistent; and (4) the rolling window method shows that the cross-correlations of return-volume are antipersistent in the entire sample period.
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institution Kabale University
issn 1076-2787
1099-0526
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publishDate 2018-01-01
publisher Wiley
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series Complexity
spelling doaj-art-596d998e03fb4bf39a35ec616dcc84712025-02-03T01:10:56ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/86914208691420Multifractal Detrended Cross-Correlation Analysis of the Return-Volume Relationship of Bitcoin MarketWei Zhang0Pengfei Wang1Xiao Li2Dehua Shen3College of Management and Economics, Tianjin University, Tianjin 300072, ChinaCollege of Management and Economics, Tianjin University, Tianjin 300072, ChinaSchool of Finance, Nankai University, Tianjin 300350, ChinaCollege of Management and Economics, Tianjin University, Tianjin 300072, ChinaWe investigate the cross-correlations of return-volume relationship of the Bitcoin market. In particular, we select eight exchange rates whose trading volume accounts for more than 98% market shares to synthesize Bitcoin indexes. The empirical results based on multifractal detrended cross-correlation analysis (MF-DCCA) reveal that (1) the nonlinear dependencies and power-law cross-correlations in return-volume relationship are found; (2) all cross-correlations are multifractal, and there are antipersistent behaviors of cross-correlation for q=2; (3) the price of small fluctuations is more persistent than that of the volume, while the volume of larger fluctuations is more antipersistent; and (4) the rolling window method shows that the cross-correlations of return-volume are antipersistent in the entire sample period.http://dx.doi.org/10.1155/2018/8691420
spellingShingle Wei Zhang
Pengfei Wang
Xiao Li
Dehua Shen
Multifractal Detrended Cross-Correlation Analysis of the Return-Volume Relationship of Bitcoin Market
Complexity
title Multifractal Detrended Cross-Correlation Analysis of the Return-Volume Relationship of Bitcoin Market
title_full Multifractal Detrended Cross-Correlation Analysis of the Return-Volume Relationship of Bitcoin Market
title_fullStr Multifractal Detrended Cross-Correlation Analysis of the Return-Volume Relationship of Bitcoin Market
title_full_unstemmed Multifractal Detrended Cross-Correlation Analysis of the Return-Volume Relationship of Bitcoin Market
title_short Multifractal Detrended Cross-Correlation Analysis of the Return-Volume Relationship of Bitcoin Market
title_sort multifractal detrended cross correlation analysis of the return volume relationship of bitcoin market
url http://dx.doi.org/10.1155/2018/8691420
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AT pengfeiwang multifractaldetrendedcrosscorrelationanalysisofthereturnvolumerelationshipofbitcoinmarket
AT xiaoli multifractaldetrendedcrosscorrelationanalysisofthereturnvolumerelationshipofbitcoinmarket
AT dehuashen multifractaldetrendedcrosscorrelationanalysisofthereturnvolumerelationshipofbitcoinmarket