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Estimating Liquidity Using Information on the Multivariate Trading Process

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Author Info
Katarzyna Bien () (University of Konstanz)
Ingmar Nolte () (University of Konstanz)
Winfried Pohlmeier () (University of Konstanz)

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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 contemporaneous relationship between these trading marks by exploiting the concept of copula functions. Thereby we show how to model truncations of the multivariate 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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Publisher Info
Paper provided by Center of Finance and Econometrics, University of Konstanz in its series CoFE Discussion Paper with number 06-04.

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Length: 73 pages
Date of creation: 31 Mar 2006
Date of revision:
Handle: RePEc:knz:cofedp:0604

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

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Find related papers by JEL classification:
G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
F30 - International Economics - - International Finance - - - General
C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General

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References listed on IDEAS
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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. [Downloadable!] (restricted)
    Other versions:
  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. [Downloadable!] (restricted)
  3. Grossman, S.J. & Miller, M.H., 1988. "Liquidity And Market Structure," Papers 88, Princeton, Department of Economics - Financial Research Center.
    Other versions:
  4. Michaely, Roni & Vila, Jean-Luc, 1996. "Trading Volume with Private Valuation: Evidence from the Ex-dividend Day," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 9(2), pages 471-509. [Downloadable!] (restricted)
  5. 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. [Downloadable!]
  6. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-35, November. [Downloadable!] (restricted)
  7. Bertsimas, Dimitris & Lo, Andrew W., 1998. "Optimal control of execution costs," Journal of Financial Markets, Elsevier, vol. 1(1), pages 1-50, April. [Downloadable!] (restricted)
  8. 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. [Downloadable!] (restricted)
  9. 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. [Downloadable!] (restricted)
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  10. Harris, Lawrence E, 1994. "Minimum Price Variations, Discrete Bid-Ask Spreads, and Quotation Sizes," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 7(1), pages 149-78. [Downloadable!] (restricted)
  11. Goldstein, Michael A. & A. Kavajecz, Kenneth, 2000. "Eighths, sixteenths, and market depth: changes in tick size and liquidity provision on the NYSE," Journal of Financial Economics, Elsevier, vol. 56(1), pages 125-149, April. [Downloadable!] (restricted)
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  12. Hausman, Jerry A. & Lo, Andrew W. & MacKinlay, A. Craig, 1992. "An ordered probit analysis of transaction stock prices," Journal of Financial Economics, Elsevier, vol. 31(3), pages 319-379, June. [Downloadable!] (restricted)
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  13. A. Colin Cameron & Tong Li & Pravin K. Trivedi & David M. Zimmer, 2004. "Modelling the differences in counted outcomes using bivariate copula models with application to mismeasured counts," Econometrics Journal, Royal Economic Society, vol. 7(2), pages 566-584, December. [Downloadable!] (restricted)
  14. 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 and Southwestern Finance Association, vol. 27(1), pages 75-94. [Downloadable!] (restricted)
  15. Lubos Pastor & Robert F. Stambaugh, 2001. "Liquidity Risk and Expected Stock Returns," NBER Working Papers 8462, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  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. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
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