Tid: 7 mars 2018, kl 13-14
Plats: B705


The discrete time volatility model attempts to capture asymmetric responses of volatility to positive and negative ‘news shocks’ – a phenomenon known as the leverage effect. Despite its potential, the model’s properties have not yet been fully investigated. While the capacity to account for the leverage is clear from the defining structure, little is known about how the effect is quantified in terms of the model’s parameters. The same applies to the quantification of heavy-tailedness and dependence. To fill this void, we study the model in further detail. We study conditions of its existence in different metrics and obtain explicit characteristics: skewness, kurtosis, correlations and leverage. Utilizing these results, we analyze the roles of the parameters and discuss statistical inference. An extension of the model has also been proposed. Through theoretical results we demonstrate that the model can produce heavy-tailed data. We illustrate these properties using empirical data.