Modelling a Multivariate Transaction Process

28 Pages Posted: 26 Jun 2006 Last revised: 26 Nov 2007

See all articles by Ingmar Nolte

Ingmar Nolte

Lancaster University - Department of Accounting and Finance

Date Written: September 27, 2007

Abstract

In this paper the dynamics of a joint transaction process is investigated. The transaction process is characterized by four marks: price changes, transaction volumes, bid-ask spreads and intertrade durations. Based on a copula approach a model for the joint density is proposed, which avoids forcing a priori assumptions on the instantaneous causality relationships between the four variables as necessary in decomposition models, where the joint density is decomposed into its conditional and unconditional densities. The price change process is treated as a discrete process and specified with an integer count hurdle model and the transaction volumes, bid-ask spreads and trade durations processes are modelled along the lines of fractionally integrated autoregressive conditional models, which are very well suited to capture the high persistency empirically observed in these processes. The model is applied to three stocks traded at the New York Stock Exchange (NSYE) in May, 2001 and we investigate several market microstructure hypothesis in the empirical part of this paper.

Keywords: Transaction data, discrete price changes, integer count hurdle model, fractionally integrated autoregressive conditional duration models

JEL Classification: C32, C35, C41, G10

Suggested Citation

Nolte, Ingmar, Modelling a Multivariate Transaction Process (September 27, 2007). Available at SSRN: https://ssrn.com/abstract=911531 or http://dx.doi.org/10.2139/ssrn.911531

Ingmar Nolte (Contact Author)

Lancaster University - Department of Accounting and Finance ( email )

Lancaster, Lancashire LA1 4YX
United Kingdom

Register to save articles to
your library

Register

Paper statistics

Downloads
183
Abstract Views
836
rank
166,038
PlumX Metrics