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Cumulative Impulse Response Functions for a Class of Threshold-Asymmetric GARCH Processes

Authors
박진아백지선황선영
Issue Date
Mar-2010
Publisher
한국통계학회
Keywords
Cumulative impulse response function; persistent; asymmetric-TGARCH
Citation
Communications for Statistical Applications and Methods, v.17, no.2, pp 255 - 261
Pages
7
Journal Title
Communications for Statistical Applications and Methods
Volume
17
Number
2
Start Page
255
End Page
261
URI
https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/13554
ISSN
2287-7843
Abstract
A class of threshold-asymmetric GRACH(TGARCH, hereafter) models has been useful for explaining asymmetric volatilities in the field of financial time series. The cumulative impulse response function of a conditionally heteroscedastic time series often measures a degree of unstability in volatilities. In this article, a general form of the cumulative impulse response function of the TGARCH model is discussed. In particular, We present formula in their closed forms for the first two lower order models, viz., TGARCH(1, 1) and TGARCH(2, 2).
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