A Multivariate Generalized Autoregressive Conditional Heteroscedasticity Model With Time-Varying Correlations
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- 1 July 2002
- journal article
- Published by Taylor & Francis Ltd in Journal of Business & Economic Statistics
- Vol. 20 (3), 351-362
- https://doi.org/10.1198/073500102288618496
Abstract
In this article we propose a new multivariate generalized autoregressive conditional heteroscedasticity (MGARCH) model with time-varying correlations. We adopt the vech representation based on the conditional variances and the conditional correlations. Whereas each conditional-variance term is assumed to follow a univariate GARCH formulation, the conditional-correlation matrix is postulated to follow an autoregressive moving average type of analog. Our new model retains the intuition and interpretation of the univariate GARCH model and yet satisfies the positive-definite condition as found in the constant-correlation and Baba–Engle–Kraft–Kroner models. We report some Monte Carlo results on the finite-sample distributions of the maximum likelihood estimate of the varying-correlation MGARCH model. The new model is applied to some real data sets.Keywords
This publication has 27 references indexed in Scilit:
- ARCH MODELS: PROPERTIES, ESTIMATION AND TESTINGJournal of Economic Surveys, 1993
- ARCH modeling in finance: A review of the theory and empirical evidenceJournal of Econometrics, 1992
- Quasi-maximum likelihood estimation and inference in dynamic models with time-varying covariancesEconometric Reviews, 1992
- Bivariate garch estimation of the optimal commodity futures HedgeJournal of Applied Econometrics, 1991
- Modelling the Coherence in Short-Run Nominal Exchange Rates: A Multivariate Generalized Arch ModelThe Review of Economics and Statistics, 1990
- Tests of international CAPM with time‐varying covariancesJournal of Applied Econometrics, 1989
- The dynamics of exchange rate volatility: A multivariate latent factor ARCH modelJournal of Applied Econometrics, 1989
- A Capital Asset Pricing Model with Time-Varying CovariancesJournal of Political Economy, 1988
- Small-Sample Properties of ARCH Estimators and TestsCanadian Journal of Economics/Revue canadienne d'économique, 1985
- Combining competing forecasts of inflation using a bivariate arch modelJournal of Economic Dynamics and Control, 1984