This study extends the literature on the relation between trading activity and volatility by looking at a new asset class in the form of VIX futures, and by decomposing each side of the relation into two components. The results confirm several findings documented in prior studies: The number of...

This paper extends the classical work of bipower variation by allowing the return process to be autocorrelated. We propose a method of estimating the return volatility when the price process is described by a fractal Brownian motion with jumps.

We propose a flexible GARCH-type model for the prediction of volatility in financial time series. The approach relies on the idea of using multivariate B-splines of lagged observations and volatilities. Estimation of such a B-spline basis expansion is constructed within the likelihood framework...

Stochastic variance models where the logarithmic volatility is modelled by an ARMA process and models with conditional heteroscedasticity for daily returns are studied. Volatility of monthly relative changes computed as a product of daily changes is considered and estimated from daily...