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Estimation and forecasting in large datasets with conditionally heteroskedastic dynamic common factors

Alessi, Lucia, Barigozzi, Matteo and Capasso, Marco (2009) Estimation and forecasting in large datasets with conditionally heteroskedastic dynamic common factors. European Central Bank working paper series, European Central Bank, Frankfurt, Germany.

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Abstract

We propose a new method for multivariate forecasting which combines Dynamic Factor and multivariate GARCH models. The information contained in large datasets is captured by few dynamic common factors, which we assume being conditionally heteroskedastic. After presenting the model, we propose a multi-step estimation technique which combines asymptotic principal components and multivariate GARCH. We also prove consistency of the estimated conditional covariances. We present simulation results in order to assess the finite sample properties of the estimation technique. Finally, we carry out two empirical applications respectively on macroeconomic series, with a particular focus on different measures of inflation, and on financial asset returns. Our model outperforms the benchmarks in forecasting the inflation level, its conditional variance and the volatility of returns. Moreover, we are able to predict all the conditional covariances among the observable series.

Item Type: Monograph (Working Paper)
Official URL: http://www.ecb.europa.eu
Additional Information: © 2009 European Central Bank
Uncontrolled Keywords: dynamic factor models, multivariate GARCH, conditional covariance, inflation forecasting, volatility forecasting.
Library of Congress subject classification: H Social Sciences > HA Statistics
Journal of Economic Literature Classification System: C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C52 - Model Evaluation and Selection
C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C53 - Forecasting and Other Model Applications
Sets: Departments > Statistics
Rights: http://www.lse.ac.uk/library/rights/LSERO.htm
URL: http://eprints.lse.ac.uk/31210/

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