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Journal of Econometrics
Volume 104, Issue 1, August 2001, Pages 179-207
 
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doi:10.1016/S0304-4076(01)00063-X    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2001 Elsevier Science S.A. All rights reserved.

A nonlinear autoregressive conditional duration model with applications to financial transaction data

Michael Yuanjie ZhangE-mail The Corresponding Author, a, Jeffrey R. RussellCorresponding Author Contact Information, E-mail The Corresponding Author, b and Ruey S. TsayE-mail The Corresponding Author, b

a Barr Rosenberg Research Center, AXA Rosenberg Group, 4 Orinda Way Bldg E, Orinda, CA 94563, USA b Graduate School of Business, University of Chicago, 1101 East 58th Street, Chicago, IL 60637, USA

Received 4 October 1999;
revised 15 November 2000;
accepted 23 January 2001
Available online 13 June 2001.

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Abstract

This paper presents a new model that improves upon several inadequacies of the original autoregressive conditional duration (ACD) model considered in Engle and Russell (Econometrica 66(5) (1998) 1127–1162). We propose a threshold autoregressive conditional duration (TACD) model to allow the expected duration to depend nonlinearly on past information variables. Conditions for the TACD process to be ergodic and existence of moments are established. Strong evidence is provided to suggest that fast transacting periods and slow transacting periods of NYSE stocks have quite different dynamics. Based on the improved model, we identify multiple structural breaks in the transaction duration data considered, and those break points match nicely with real economic events.

Author Keywords: Nonlinear time series; Autoregressive conditional duration; Structural break; Duration models; Market microstructure

JEL classification codes: C22; C41; G14

Article Outline

1. Introduction
2. A threshold ACD model
2.1. The ACD framework
2.2. The threshold ACD
2.3. Geometric ergodicity and existence of moments of TACD(1,1)
3. Modeling IBM transaction durations
3.1. Data
3.2. Daily seasonality
3.3. Multiple transactions
3.4. Model specification, estimation and diagnostics
4. Structural breaks
4.1. Structural breaks of IBM transaction durations
4.2. Exploring structural differences
4.3. Model diagnostics
5. Economic implications of the threshold dynamics
5.1. Market microstructure theories
5.2. Exploring economic meanings of regimes
5.3. Understanding the nonlinear dynamics
6. Conclusions
Acknowledgements
Appendix A
A.1. Proof of Theorem 1 (ergodicity of TACD(1,1) process)
A.2. Proof of Theorem 2 (Existence of moments for TACD(1,1) process)
References





Journal of Econometrics
Volume 104, Issue 1, August 2001, Pages 179-207
 
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