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Errors in Trade Classification: Consequences and Remedies

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Author Info
Tanggaard, Carsten () (Department of Finance, Aarhus School of Business)
Abstract

The consequences of errors in trade classification are potentially worse than documented in existing empirical research. This is demonstrated by the use of a formal model of classification errors in a generic regression-type microstructure model. The bias is a function of the probability of trade-reversal in addition to the probability of an error. These parameters depend on stock and trade characteristics in addition to trading procedures and trade reporting standards. The bias is highly sensitive to the background variables, thus causing concern about the validity of empirical studies applying possibly erroneous classification methods without controlling for such effects.

The theory, outlined in the paper, predicts that given empirical evidence on error rates, effective spreads must realistically be expected to be downward biased by more than 50%. However, the bias one can observe from using the TORQ database is less severe and has the opposite sign. This is due to special features of the NYSE trading process which may not carry over to other markets. This research also emphasizes the

need for proper adjustment of classification error bias. Therefore, the paper proposes a GMM estimator for improved estimation. Simulation evidence indicates that in medium and larger sized samples the method is capable of removing virtually all the bias in market quality statistics like e¤ective, realized, and adverse selection spreads.

This is empirically verified in an application to data from TORQ.

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Publisher Info
Paper provided by University of Aarhus, Aarhus School of Business, Department of Business Studies in its series Finance Working Papers with number 03-6.

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Length: 49 pages
Date of creation: 05 Dec 2003
Date of revision:
Handle: RePEc:hhb:aarfin:2003_006

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Postal: The Aarhus School of Business, Fuglesangs Allé 4, DK-8210 Aarhus V, Denmark
Fax: + 45 86 15 19 43
Web page: http://www.asb.dk/about/departments/bs.aspx
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Related research
Keywords: Adverse selection; classification error; effective spread; errors-in-variables; International trade; Foreign trade; Nomenclature GMM; measurement errors; realized spread; TORQ; trade indicator;

This paper has been announced in the following NEP Reports:

References listed on IDEAS
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  3. Aigner, Dennis J., 1973. "Regression with a binary independent variable subject to errors of observation," Journal of Econometrics, Elsevier, vol. 1(1), pages 49-59, March. [Downloadable!] (restricted)
  4. Richard B. Freeman, 1983. "Longitudinal Analyses of the Effects of Tade Unions," NBER Working Papers 1207, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  5. George, Thomas J & Kaul, Gautam & Nimalendran, M, 1991. "Estimation of the Bid-Ask Spread and Its Components: A New Approach," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 4(4), pages 623-56. [Downloadable!] (restricted)
  6. Lawrence R. Glosten & Paul R. Milgrom, 1983. "Bid, Ask and Transaction Prices in a Specialist Market with Heterogeneously Informed Traders," Discussion Papers 570, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
    Other versions:
  7. Bollinger, Christopher R., 1996. "Bounding mean regressions when a binary regressor is mismeasured," Journal of Econometrics, Elsevier, vol. 73(2), pages 387-399, August. [Downloadable!] (restricted)
  8. Harris, Lawrence, 1990. "Estimation of Stock Price Variances and Serial Covariances from Discrete Observations," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(03), pages 291-306, September. [Downloadable!]
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  11. Ananth Madhavan & Matthew Richardson & Mark Roomans, 1996. "Why Do Security Prices Change? A Transaction-Level Analysis of NYSE Stocks," New York University, Leonard N. Stern School Finance Department Working Paper Seires 96-34, New York University, Leonard N. Stern School of Business-.
    Other versions:
  12. Aitken, Michael & Frino, Alex, 1996. "The accuracy of the tick test: Evidence from the Australian stock exchange," Journal of Banking & Finance, Elsevier, vol. 20(10), pages 1715-1729, December. [Downloadable!] (restricted)
  13. Huang, Roger D & Stoll, Hans R, 1997. "The Components of the Bid-Ask Spread: A General Approach," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 10(4), pages 995-1034.
  14. Klepper, Steven, 1988. "Bounding the effects of measurement error in regressions involving dichotomous variables," Journal of Econometrics, Elsevier, vol. 37(3), pages 343-359, March. [Downloadable!] (restricted)
  15. Lee, Charles M C & Ready, Mark J, 1991. " Inferring Trade Direction from Intraday Data," Journal of Finance, American Finance Association, vol. 46(2), pages 733-46, June. [Downloadable!] (restricted)
  16. Card, David, 1996. "The Effect of Unions on the Structure of Wages: A Longitudinal Analysis," Econometrica, Econometric Society, vol. 64(4), pages 957-79, July. [Downloadable!] (restricted)
  17. Theissen, Erik, 2001. "A test of the accuracy of the Lee/Ready trade classification algorithm," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 11(2), pages 147-165, June. [Downloadable!] (restricted)
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