This paper investigates the forecasting performance of three popular variants of the non-linear GARCH models, namely VS-GARCH, GJR-GARCH and Q-GARCH, with the symmetric GARCH(1,1) model as a benchmark. The application involves ten European stock price indexes. Forecasts produced by each...

We propose a comprehensive treatment of the leverage effect, i.e. the relationship between returns and volatility of a specific asset, focusing on energy commodities futures, namely Brent and WTI crude oils, natural gas and heating oil. After estimating the volatility process without assuming...

This paper proposes a new class of estimators based on the inter-quantile-range of intraday returns, referred to as Inter-Quantile-Range-based volatility (IQRBV), to estimate the integrated daily volatility. As the range-based volatility measure, the IQRBV estimate is insensitive to market...

This paper introduces a new class of stochastic volatility models which allows for stochastic volatility of volatility (SVV): Volatility modulated non-Gaussian Ornstein-Uhlenbeck (VMOU) processes. Various probabilistic properties of (integrated) VMOU processes are presented. Further we study the...

An enhanced option pricing framework that makes use of both continuous and discontinuous time paths based on a geometric Brownian motion and Poisson-driven jump processes respectively is performed in order to better fit with real-observed stock price paths while maintaining the analytical...

In this paper we discuss univariate and multivariate statistical properties of volatility with the aim of understanding how these two aspects are interrelated. Specifically, we focus on the relationship between the cross-correlation among stock's volatilities and the volatility clustering....

A variety of historical-volatility, peer-historical-volatility, implied-volatility and blended estimators of stock price volatility are developed and tested for a group of large U.S. companies over roughly a thirty-year window. Longer-term historical estimators (up to fifteen years) are found to...

In several countries, classical options markets coexist with markets for bank-issued options, also termed warrants. It is an open question if warrant issuers purely adopt options market information about future volatility or if they contribute to volatility discovery by their own. As a result,...

This paper extends the multiscale stochastic volatility (MSSV) models to allow for heavy tails of the marginal distribution of the asset returns and correlation between the innovation of the mean equation and the innovations of the latent factor processes. Novel algorithms of Markov Chain Monte...

This paper examines time-varying stock price and volatility dynamics of constituent industry sector indices in the Shanghai Stock Exchange. It finds that market beta risk is priced in the time-series movements of stock prices and responds positively to rises in non-diversifiable risk. The asset...