Power-Law Return-Volatility Cross Correlations of Bitcoin

Abstract

This paper investigates the return-volatility asymmetry of Bitcoin. We find that the cross correlations between return and volatility (squared return) are mostly insignificant on a daily level. In the high-frequency region, we find thata power-law appears in negative cross correlation between returns and future volatilities, which suggests that the cross correlation is long ranged. We also calculate a cross correlation between returns and the power of absolute returns, and we find that the strength of the cross correlations depends on the value of the power.

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