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Simple, Skewness-Based GMM Estimation of the Semi-Strong GARCH(1,1) Model

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  • Todd, Prono
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    Abstract

    IV estimators with an instrument vector composed only of past squared residuals, while applicable to the semi-strong ARCH(1) model, do not extend to the semi-strong GARCH(1,1) case because of underidentification. Augmenting the instrument vector with past residuals, however, renders traditional IV estimation feasible, if the residuals are skewed. The proposed estimators are much simpler to implement than efficient IV estimators, yet they retain improved finite sample performance over QMLE. Jackknife versions of these estimators deal with the issues caused by many (potentially weak) instruments. A Monte Carlo study is included, as is an empirical application involving foreign currency spot returns.

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    Bibliographic Info

    Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 30994.

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    Date of creation: 11 Nov 2009
    Date of revision: 30 Jul 2011
    Handle: RePEc:pra:mprapa:30994

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    Keywords: GARCH; GMM; instrumental variables; continuous updating; many moments; robust estimation;

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