An ACD-ECOGARCH(1,1) Model
In this paper we introduce an ACD-ECOGARCH(1,1) model. An exponential autoregressive conditional duration model is used to describe the dependence structure in durations of ultra-high-frequency financial data. The innovation process of the ACD model then defines the interarrival times of a compound Poisson process. We use this compound Poisson process as the background driving Lévy process of an exponential continuous time GARCH(1,1) process. The dynamics of the random time transformed log-price process are then described by the latter process. To estimate its parameters we construct a quasi maximum likelihood estimator under the assumption that all jumps of the log-price process are observable. Finally, the model is fitted for illustrative purpose to General Motors tick-by-tick data of the New York Stock Exchange. Copyright The Author 2009. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oupjournals.org, Oxford University Press.
Year of publication: |
2010
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Authors: | Czado, Claudia ; Haug, Stephan |
Published in: |
Journal of Financial Econometrics. - Society for Financial Econometrics - SoFiE, ISSN 1479-8409. - Vol. 8.2010, 3, p. 335-344
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Publisher: |
Society for Financial Econometrics - SoFiE |
Saved in:
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