@techreport{NBERw11188, title = "Volatility Forecasting", author = "Torben G. Andersen and Tim Bollerslev and Peter F. Christoffersen and Francis X. Diebold", institution = "National Bureau of Economic Research", type = "Working Paper", series = "Working Paper Series", number = "11188", year = "2005", month = "March", URL = "http://www.nber.org/papers/w11188", abstract = {Volatility has been one of the most active and successful areas of research in time series econometrics and economic forecasting in recent decades. This chapter provides a selective survey of the most important theoretical developments and empirical insights to emerge from this burgeoning literature, with a distinct focus on forecasting applications. Volatility is inherently latent, and Section 1 begins with a brief intuitive account of various key volatility concepts. Section 2 then discusses a series of different economic situations in which volatility plays a crucial role, ranging from the use of volatility forecasts in portfolio allocation to density forecasting in risk management. Sections 3, 4 and 5 present a variety of alternative procedures for univariate volatility modeling and forecasting based on the GARCH, stochastic volatility and realized volatility paradigms, respectively. Section 6 extends the discussion to the multivariate problem of forecasting conditional covariances and correlations, and Section 7 discusses volatility forecast evaluation methods in both univariate and multivariate cases. Section 8 concludes briefly.}, }