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Long Memory Process in Asset Returns with Multivariate GARCH Innovations
Author(s) -
Imène Mootamri
Publication year - 2011
Publication title -
economics research international
Language(s) - English
Resource type - Journals
eISSN - 2090-2123
pISSN - 2090-2131
DOI - 10.1155/2011/564952
Subject(s) - econometrics , multivariate statistics , autoregressive fractionally integrated moving average , stock (firearms) , economics , autoregressive conditional heteroskedasticity , volatility (finance) , financial economics , long memory , mathematics , statistics , mechanical engineering , engineering
The main purpose of this paper is to consider the multivariate GARCH (MGARCH) framework to model the volatility of a multivariate process exhibiting long-term dependence in stock returns. More precisely, the long-term dependence is examined in the first conditional moment of US stock returns through multivariate ARFIMA process, and the time-varying feature of volatility is explained by MGARCH models. An empirical application to the returns series is carried out to illustrate the usefulness of our approach. The main results confirmthe presence of long memory property in the conditional mean of all stock returns

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