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http://dx.doi.org/10.5351/KJAS.2007.20.1.053

Evidence of Integrated Heteroscedastic Processes for Korean Financial Time Series  

Park, J.A. (Department of Stastics, Sookmyung Women's University)
Baek, J.S. (Department of Stastics, Sookmyung Women's University)
Hwang, S.Y. (Department of Stastics, Sookmyung Women's University)
Publication Information
The Korean Journal of Applied Statistics / v.20, no.1, 2007 , pp. 53-60 More about this Journal
Abstract
Conditionally heteroscedastic time series models such as GARCH processes have frequently provided useful approximations to the real aspects of financial time series. It is not uncommon that financial time series exhibits near non-stationary, say, integrated phenomenon. For stationary GARCH processes, a shock to the current conditional variance will be exponentially converging to zero and thus asymptotically negligible for the future conditional variance. However, for the case of integrated process, the effect will remain for a long time, i.e., we have a persistent effect of a current shock on the future observations. We are here concerned with providing empirical evidences of persistent GARCH(1,1) for various fifteen domestic financial time series including KOSPI, KOSDAQ and won-dollar exchange rate. To this end, kurtosis and Integrated-GARCH(1,1) fits are reported for each data.
Keywords
IGARCH(1,1); persistent effect; Korean financial time series;
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