Abstract #301761

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JSM 2003 Abstract #301761
Activity Number: 19
Type: Contributed
Date/Time: Sunday, August 3, 2003 : 2:00 PM to 3:50 PM
Sponsor: Business & Economics Statistics Section
Abstract - #301761
Title: Specification Testing of Multivariate GARCH Models: A Monte Carlo Study
Author(s): Sonila Beliu*+ and Matthew L. Higgins
Companies: Western Michigan University and Western Michigan University
Address: Dept. of Economics, Kalamazoo, MI, 49008,
Keywords: GARCH ; specification testing ; Monte Carlo
Abstract:

Multivariate GARCH models have been widely used to represent the time-varying variances and covariances of the return on financial assets. In order to reduce the number of parameters to be estimated, it is often assumed that the conditional correlations between returns are constant. Recently, several tests have been proposed to test this assumption. These tests include the LM test of Tse (2000), the information matrix test of Bera and Kim (2002), and the LR test of Engle (2002). All of these tests are derived from a specific parameterization of the constants correlation assumption. We present a Monte Carlo study of the size and power properties of the above tests for the constant correlation assumption. The properties of the tests are considered when the data-generating process includes the standard constant correlation model, the BEKK model, the Dynamic Conditional Correlation GARCH model, and the Orthogonal GARCH model. We consider the properties of the tests in both low- and high-dimensional models


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