We investigate high-frequency volatility models for analyzing intra-day tick by tick stock price changes using Bayesian … estimation procedures. Our key interest is the extraction of intra-day volatility patterns from high-frequency integer price … distributions. We allow for stochastic volatility by modeling the variance as a stochastic function of time, with intra-day periodic …

volatility) associated with financial returns, was the portmanteau statistic for non-causality in variance of Cheng and Ng (1996 … the paper is to derive a simple test for causality in volatility that provides regularity conditions arising from the …

The three most popular univariate conditional volatility models are the generalized autoregressive conditional … models are important in estimating and forecasting volatility, as well as in capturing asymmetry, which is the different … effects on conditional volatility of positive and negative effects of equal magnitude, and purportedly in capturing leverage …