Distribution Choice for the Asymmetric ACD Models
DOI:
https://doi.org/10.12775/DEM.2011.004Keywords
Asymmetric ACD model, financial durations, probability integral transforms, market microstructureAbstract
In the paper, I generalize the Asymmetric Autoregressive Conditional Duration (AACD) model proposed by Bauwens and Giot (2003) with respect to the generalized gamma and the Burr distribution for an error term. I derive the log likelihood functions for the augmented models and show how to check the goodness-of-fit of the distributional assumptions with the application of the probability integral transforms proposed by Diebold, Gunther and Tay (1998).
Moreover, I present an exemplary empirical application of the Asymmetric ACD model for the durations between submissions of market or best limit orders on the interbank trading platform for the Polish zloty. I test the impact of selected market microstructure factors (i.e. the bid-ask spread, volatility) on the time of order submissions.
References
Bauwens, L., Giot, P. (2000), The Logarithmic ACD Model: An Application to the Bid/Ask Quote Process of two NYSE Stocks, Annales d’Economie et de Statistique, 60, 117–149.
Bauwens, L., Giot, P. (2001), Econometric Modelling of Stock Market Intraday Activity, Kluwer Academic Publishers, Boston.
Bauwens, L., Giot, P. (2003), Asymmetric ACD Models: Introducing Price Information in ACD Models, Empirical Economics, 28, 709–731.
Bauwens, L., Giot, P., Grammig, J., Veredas, D. (2004), A Comparison of Financial Duration Models via Density Forecasts, International Journal of Forecasting 20, 589–609.
Bauwens, L., Veredas, D. (2004), The Stochastic Conditional Duration Model: A Latent Variable Model for the Analysis of Financial Durations, Journal of Econometrics 119, 381–412.
Biais, B., Hillion, P., Spatt, C. (1995), An Empirical Analysis of the Limit Order Book and the Order Flow in the Paris Bourse, Journal of Finance 50, 1655–1689.
Bień, K. (2006), Advanced ACD Models – Presentation and the Example of Application, Statistical Review 53 (1), 90–108.
Diebold, F.X., Gunther, T.A., Tay, A.S. (1998), Evaluating Density Forecasts with Applications to Financial Risk Management, International Economic Review 39, 863–883.
Ellul, A., Holden C., Jain, P., Jennings, R. (2007), Order Dynamics: Recent Evidence from the NYSE, Journal of Empirical Finance, 14, 636–661.
Engle, R.F., Russell, J.R. (1998), Autoregressive Conditional Duration; a New Approach for Irregularly Spaced Transaction Data, Econometrica 66, 1127–1162.
Foucault, T. (1999), Order Flow Decomposition and Trading Costs in a Dynamic Limit Order Market, Journal of Financial Markets 2, 99–134.
Ghysels, E., Jasiak, J. (1998), GARCH for Irregularly Spaced Financial Data: The ACD-GARCH Model, Studies in Nonlinear Dynamics and Econometrics 2, 133–149.
Giot, P. (2000), Time Transformations, Intraday Data and Volatility Models, Journal of Computational Finance, 4(2), 31–62.
Giot, P. (2005), Market Risk Models for Intraday Data, European Journal of Finance, 11, 309–324.
Gouriéroux, C., Jasiak, J. (2001), Financial Econometrics: Problems, Models and Methods, Princeton University Press.
Grammig, J., Maurer, K. (2000), Non-monotonic Hazard Functions and the Autoregressive Conditional Duration Model, Econometrics Journal 3, 16–38.
Grammig, J., Wellner, M. (2002), Modeling the Interdependence of Volatility and Inter-Transaction Duration Process, Journal of Econometrics, 106, 369–400.
Hautsch, N. (2001), The Generalized F ACD Model, Discussion Paper, University of Konstanz.
Hautsch, N. (2004), Modelling Irregularly Spaced Financial Data, Springer, Berlin.
Kalimipalli, M., Warga, A. (2002), Bid-Ask Spread, Volatility and Volume in the Corporate Bond Market, Journal of Fixed Income, 3, 31–42.
Lo, I., Sapp, S. (2008), The Submission of Limit Orders or Market Orders: The Role of Timing and Information in the Reuters D2000-2 System, Journal of International Money and Finance, 27, 1056–1073.
Nolte, I. (2008), Modeling a Multivariate Trading Process, Journal of Financial Econometrics, 6, 143–170.
Osińska, M. (2006), Financial Econometrics, PWE, Warszawa.
Pacurar. M. (2008), Autoregressive Conditional Duration Models in Finance: A Survey of Theoretical and Empirical Literature, Journal of Economic Surveys, 22 (4), 711–751.
Ranaldo, A. (2004), Order Aggresiveness in Limit Order Book Markets, Journal of Financial Markets, 7, 53–74.
Tsay, R. S. (2002), Analysis of Financial Time Series, Wiley: New York.
Verhoeven, P., Ching, S., Ng, H. (2003), Determinants of the Decision to Submit Market or Limit Orders on the ASX, Pacific-Basin Finance Journal, 12, 1–18.
Zhang, M. Y., Russell, J. R., Tsay, R. S. (2001), A Nonlinear Autoregressive Conditional Duration Model with Applications to Financial Transaction Data, Journal of Econometrics 104, 179–207.
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