Using singular spectrum analysis (SSA), we model the realized volatility and logarithmic standard deviations of two important futures return series. The realized volatility and logarithmic standard deviations are constructed following the methodology of Andersen et al. [J. Am. Stat. Ass. 96...

This paper examines the probability of returns exceeding a threshold, extending earlier work of Christoffersen and Diebold (2006) on volatility dynamics and sign predictability. We find that the choice of the threshold matters and that a zero threshold (leading to sign predictions) does not lead...