We use quantile regressions to demonstrate that volatility persistence and the asymmetric "leverage" effect are high volatility phenomena. More specifically, we find that (i) low volatility is not persistent, but high volatility all the more, even featuring properties of explosive processes;...

We propose to estimate the variance of a time series of financial returns through a quantile autoregressive model (QAR) and demonstrate that the return QAR model contains all information that is commonly captured in two separate equations for the mean and variance of a GARCH-type model. In...

The volatility of equity returns generally exhibits an asymmetric reaction to positive and negative shocks. Economic explanations for this phenomenon are leverage and a volatility feedback effect. This paper studies the volatility of gold and demonstrates that there is an inverted asymmetric...

There is a well documented asymmetric return - volatility effect of equity returns, that is, negative shocks increase volatility by more than positive shocks. This paper analyzes the return - volatility relationship of commodity price changes and finds an inverted asymmetric effect with a...

We estimate quantile autoregression (QAR) models to analyze variations in the autoregressive coefficients of 55 international stock index returns and demonstrate that it is important to allow the autoregressive parameters to vary with quantiles. The empirical results identify distinctively...

This study shows that changes in bitcoin exchange reserves are negatively related to contemporaneous and future bitcoin returns, consistent with the hypothesis that the transfer of bitcoin on exchanges implies increased price pressure and vice versa. We further identify an asymmetry between...