Abstract

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 reveal that the nonlinear dependencies and power-law cross-correlations in return-volume relationship are found; all cross-correlations are multifractal, and there are antipersistent behaviors of cross-correlation for q=2; the price of small fluctuations is more persistent than that of the volume, while the volume of larger fluctuations is more antipersistent; and the rolling window method shows that the cross-correlations of return-volume are antipersistent in the entire sample period.