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 paper studies a large number of Bitcoin options traded on the options exchange Deribit. We use the trades to calculate implied volatility and analyze if volatility forecasts can be improved using such information. Implied volatility is less accurate than ARMA or HAR model forecasts 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...

This article analyzes asymmetric volatility effects for the 20 largest cryptocurrencies and reports a very different asymmetry compared to equity markets: positive shocks increase the volatility by more than negative shocks. We explain this atypical effect for financial assets with trading...

There is a large literature that reports time-specific anomalies in equity markets such as the Monday effect, the January effect and the Halloween effect. This study is the first to report intra-day time-of-day, day-of-week, and month-of-year effects for Bitcoin returns and trading volume. Using...

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...

There is a large and growing literature on spillovers but no study that systematically evaluates the importance of spillovers for portfolio management. This paper provides such an analysis and demonstrates that spillovers are fully embedded in estimates of expected returns, variances, and...