A Multivariate Generalized Autoregressive Conditional Heteroscedasticity Model with Time-Varying Correlations

• Main Authors: TSE, Yiu Kuen, TSUI, Albert K.C.
• Format: text
• Language: English
• Published: Institutional Knowledge at Singapore Management University 2002
• Subjects: BEKK model; Constant correlation; Maximum likelihood estimate; Monte Carlo method; Multivariate GARCH model; Varying correlation; Econometrics
• Online Access: https://ink.library.smu.edu.sg/soe_research/348; https://ink.library.smu.edu.sg/context/soe_research/article/1347/viewcontent/auto_convert.pdf
• Institution: Singapore Management University

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.