Forecasting of Volatilities and Covolatilities of the Financial Assets

Influence of huge sets of information on financial markets has become almost instantaneous. Every new peace of information influences prices of assets and correlations among them. Many risk measures including value-at-risk or hedge ratios are based on variance-covariance forecasts. Moreover future covariances are key risk measures themselves. Large portfolios of assets demand new methods of forecasting correlations that take into account constantly arriving high-frequency (HF) information. Recent developments in risk forecasting of both individual volatilities and large covariance matrices are the focus of this work. Theoretical part overviews latest modelling approaches to volatility forecasting whereas in the empirical part selected volatility models are implemented and compared.