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Estimating liquidity using information on the multivariate trading process

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Author Info

  • Katarzyna Bien

    (Warsaw School of Economics)

  • Ingmar Nolte

    (University of Konstanz, CoFE)

  • Winfried Pohlmeier

    (University of Konstanz, CoFE, ZEW)

Abstract

In this paper we model the dynamic multivariate density of discrete bid and ask quote changes and their associated depths. We account for the contempo- raneous relationship between these trading marks by exploiting the concept of copula functions. Thereby we show how to model truncations of the mul- tivariate density in an easy way. A Metropolized-Independence Sampler is applied to draw from the dynamic multivariate density. The samples drawn serve to construct the dynamic density function of the quote slope liquidity measure, which enables us to quantify time varying liquidity risk. We analyze the influence of the decimalization at the NYSE on liquidity.

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Bibliographic Info

Paper provided by Department of Applied Econometrics, Warsaw School of Economics in its series Working Papers with number 10.

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Length: 74 pages
Date of creation: 22 May 2006
Date of revision:
Handle: RePEc:wse:wpaper:10

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Related research

Keywords: Liquidity; Copula Functions; Trading Process; Decimalization; Metropolized-Independence Sampler;

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References

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  1. Acharya, Viral V & Pedersen, Lasse Heje, 2004. "Asset Pricing with Liquidity Risk," CEPR Discussion Papers 4718, C.E.P.R. Discussion Papers.
  2. Engle, Robert F. & Lange, Joe, 2001. "Predicting VNET: A model of the dynamics of market depth," Journal of Financial Markets, Elsevier, vol. 4(2), pages 113-142, April.
  3. Grossman, S.J. & Miller, M.H., 1988. "Liquidity And Market Structure," Papers 88, Princeton, Department of Economics - Financial Research Center.
  4. Michaely, Roni & Vila, Jean-Luc, 1996. "Trading Volume with Private Valuation: Evidence from the Ex-dividend Day," Review of Financial Studies, Society for Financial Studies, vol. 9(2), pages 471-509.
  5. Pastor, Lubos & Stambaugh, Robert F., 2003. "Liquidity Risk and Expected Stock Returns," Journal of Political Economy, University of Chicago Press, vol. 111(3), pages 642-685, June.
  6. E.K. Berndt & B.H. Hall & R.E. Hall, 1974. "Estimation and Inference in Nonlinear Structural Models," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 3, number 4, pages 103-116 National Bureau of Economic Research, Inc.
  7. Jerry A. Hausman & Andrew W. Lo & A. Craig MacKinlay, 1991. "An Ordered Probit Analysis of Transaction Stock Prices," NBER Working Papers 3888, National Bureau of Economic Research, Inc.
  8. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-35, November.
  9. Bertsimas, Dimitris & Lo, Andrew W., 1998. "Optimal control of execution costs," Journal of Financial Markets, Elsevier, vol. 1(1), pages 1-50, April.
  10. Roman Liesenfeld & Ingmar Nolte & Winfried Pohlmeier, 2006. "Modelling financial transaction price movements: a dynamic integer count data model," Empirical Economics, Springer, vol. 30(4), pages 795-825, January.
  11. Michael A. Goldstein & Kenneth A. Kavajecz, . "Eighths, Sixteenths and Market Depth: Changes in Tick Size and Liquidity Provision on the NYSE," Rodney L. White Center for Financial Research Working Papers 14-98, Wharton School Rodney L. White Center for Financial Research.
  12. Danielsson, J. & Payne, R., 2002. "Real trading patterns and prices in spot foreign exchange markets," Journal of International Money and Finance, Elsevier, vol. 21(2), pages 203-222, April.
  13. A. Colin Cameron & Tong Li & Pravin K. Trivedi & David M. Zimmer, 2004. "Modeling the Differences in Counted Outcomes using Bivariate Copula Models: with Application to Mismeasured Counts," Working Papers 43, University of California, Davis, Department of Economics.
  14. Harris, Lawrence E, 1994. "Minimum Price Variations, Discrete Bid-Ask Spreads, and Quotation Sizes," Review of Financial Studies, Society for Financial Studies, vol. 7(1), pages 149-78.
  15. Sugato Chakravarty & Robert A. Wood & Robert A. Van Ness, 2004. "Decimals And Liquidity: A Study Of The Nyse," Journal of Financial Research, Southern Finance Association & Southwestern Finance Association, vol. 27(1), pages 75-94.
  16. Denuit, Michel & Lambert, Philippe, 2005. "Constraints on concordance measures in bivariate discrete data," Journal of Multivariate Analysis, Elsevier, vol. 93(1), pages 40-57, March.
  17. Hasbrouck, Joel & Seppi, Duane J., 2001. "Common factors in prices, order flows, and liquidity," Journal of Financial Economics, Elsevier, vol. 59(3), pages 383-411, March.
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