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 …

In the class of univariate conditional volatility models, the three most popular are the generalized autoregressive … effects on conditional volatility of positive and negative effects of equal magnitude, and possibly also leverage, which is … the negative correlation between returns shocks and subsequent shocks to volatility (see Black 1979). McAleer (2014 …

The stochastic volatility model usually incorporates asymmetric effects by introducing the negative correlation between … the innovations in returns and volatility. In this paper, we propose a new asymmetric stochastic volatility model, based … between the innovations in returns and volatility. The new model is estimated by the efficient importance sampling method of …