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Security Bid/Ask Dynamics with Discreteness and Clustering: Simple Strategies for Modeling and Estimation

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  • Joel Hasbrouck

Abstract

The short-term movements of a security price reflect the latent efficient price (conditional expectation of terminal value) and also components arising from the trading mechanism itself. Observed bid and ask quotes are but rough signals of these unobserved quantities. The bid and ask quotes in the $/DM market considered here, for example, are discrete, with a tick size that is not trivial relative to the spread. Furthermore, the distribution of these quotes is clustered, with a greater-than-expected incidence of five-tick multiples. This paper suggests a simple framework for handling discrete, clustered quotes. Despite the simplicity of the model, estimation by traditional (likelihood or moment) methods is difficult. As an alternative, the paper implements a Gibbs sampler approach that proves to be quick and effective. This strategy opens the door for the investigation of a broad class of structural microstructure models.

Suggested Citation

  • Joel Hasbrouck, 1998. "Security Bid/Ask Dynamics with Discreteness and Clustering: Simple Strategies for Modeling and Estimation," New York University, Leonard N. Stern School Finance Department Working Paper Seires 98-042, New York University, Leonard N. Stern School of Business-.
    • Handle: RePEc:fth:nystfi:98-042
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    File URL: http://www.stern.nyu.edu/fin/workpapers/wpa98042.pdf
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    References listed on IDEAS

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    1. Bessembinder, Hendrik, 1994. "Bid-ask spreads in the interbank foreign exchange markets," Journal of Financial Economics, Elsevier, vol. 35(3), pages 317-348, June.
    2. Christie, William G & Schultz, Paul H, 1994. "Why Do NASDAQ Market Makers Avoid Odd-Eighth Quotes?," Journal of Finance, American Finance Association, vol. 49(5), pages 1813-1840, December.
    3. Glosten, Lawrence R. & Harris, Lawrence E., 1988. "Estimating the components of the bid/ask spread," Journal of Financial Economics, Elsevier, vol. 21(1), pages 123-142, May.
    4. Dutta, Prajit K & Madhavan, Ananth, 1997. "Competition and Collusion in Dealer Markets," Journal of Finance, American Finance Association, vol. 52(1), pages 245-276, March.
    5. 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.
    6. Chib, Siddhartha & Greenberg, Edward, 1996. "Markov Chain Monte Carlo Simulation Methods in Econometrics," Econometric Theory, Cambridge University Press, vol. 12(3), pages 409-431, August.
    7. Jacquier, Eric & Polson, Nicholas G & Rossi, Peter E, 2002. "Bayesian Analysis of Stochastic Volatility Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 69-87, January.
    8. Bollerslev, Tim & Melvin, Michael, 1994. "Bid--ask spreads and volatility in the foreign exchange market : An empirical analysis," Journal of International Economics, Elsevier, vol. 36(3-4), pages 355-372, May.
    9. Chordia, Tarun & Subrahmanyam, Avanidhar, 1995. "Market Making, the Tick Size, and Payment-for-Order Flow: Theory and Evidence," The Journal of Business, University of Chicago Press, vol. 68(4), pages 543-575, October.
    10. Anshuman, V Ravi & Kalay, Avner, 1998. "Market Making with Discrete Prices," The Review of Financial Studies, Society for Financial Studies, vol. 11(1), pages 81-109.
    11. Angel, James J, 1997. "Tick Size, Share Prices, and Stock Splits," Journal of Finance, American Finance Association, vol. 52(2), pages 655-681, June.
    12. Schwert, G. William, 1997. "Symposium on market microstructure: Focus on Nasdaq," Journal of Financial Economics, Elsevier, vol. 45(1), pages 3-8, July.
    13. Lyons, Richard K., 1996. "Optimal Transparency in a Dealer Market with an Application to Foreign Exchange," Journal of Financial Intermediation, Elsevier, vol. 5(3), pages 225-254, July.
    14. Sangjoon Kim & Neil Shephard & Siddhartha Chib, 1998. "Stochastic Volatility: Likelihood Inference and Comparison with ARCH Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(3), pages 361-393.
    15. Neil Shephard & Michael K Pitt, 1995. "Likelihood analysis of non-Gaussian parameter driven models," Economics Papers 15 & 108., Economics Group, Nuffield College, University of Oxford.
    16. Kandel, Eugene & Marx, Leslie M., 1997. "Nasdaq market structure and spread patterns," Journal of Financial Economics, Elsevier, vol. 45(1), pages 61-89, July.
    17. Glosten, Lawrence R, 1994. "Is the Electronic Open Limit Order Book Inevitable?," Journal of Finance, American Finance Association, vol. 49(4), pages 1127-1161, September.
    18. Clifford A. Ball & Walter N. Torous & Adrian E. Tschoegl, 1985. "The degree of price resolution: The case of the gold market," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 5(1), pages 29-43, March.
    19. Ajay R. Dravid, "undated". "Effects of Bid-Ask Spreads and Price Discreteness on Stock Returns," Rodney L. White Center for Financial Research Working Papers 06-91, Wharton School Rodney L. White Center for Financial Research.
    20. Ajay R. Dravid, "undated". "Effects of Bid-Ask Spreads and Price Discreteness on Stock Returns," Rodney L. White Center for Financial Research Working Papers 6-91, Wharton School Rodney L. White Center for Financial Research.
    21. Lyons, Richard K., 1995. "Tests of microstructural hypotheses in the foreign exchange market," Journal of Financial Economics, Elsevier, vol. 39(2-3), pages 321-351.
    22. Harris, Lawrence E, 1994. "Minimum Price Variations, Discrete Bid-Ask Spreads, and Quotation Sizes," The Review of Financial Studies, Society for Financial Studies, vol. 7(1), pages 149-178.
    23. Bernhardt, Dan & Hughson, Eric, 1996. "Discrete Pricing and the Design of Dealership Markets," Journal of Economic Theory, Elsevier, vol. 71(1), pages 148-182, October.
    24. Ahn, Hee-Joon & Cao, Charles Q. & Choe, Hyuk, 1996. "Tick Size, Spread, and Volume," Journal of Financial Intermediation, Elsevier, vol. 5(1), pages 2-22, January.
    25. Chan, K C & Christie, William G & Schultz, Paul H, 1995. "Market Structure and the Intraday Pattern of Bid-Ask Spreads for NASDAQ Securities," The Journal of Business, University of Chicago Press, vol. 68(1), pages 35-60, January.
    26. Harris, Lawrence, 1991. "Stock Price Clustering and Discreteness," The Review of Financial Studies, Society for Financial Studies, vol. 4(3), pages 389-415.
    27. Gottlieb, Gary & Kalay, Avner, 1985. "Implications of the Discreteness of Observed Stock Prices," Journal of Finance, American Finance Association, vol. 40(1), pages 135-153, March.
    28. Christie, William G & Harris, Jeffrey H & Schultz, Paul H, 1994. "Why Did NASDAQ Market Makers Stop Avoiding Odd-Eighth Quotes?," Journal of Finance, American Finance Association, vol. 49(5), pages 1841-1860, December.
    29. Cordella, Tito & Foucault, Thierry, 1999. "Minimum Price Variations, Time Priority, and Quote Dynamics," Journal of Financial Intermediation, Elsevier, vol. 8(3), pages 141-173, July.
    30. Jong-Il Kim & Lawrence J. Lau, 1996. "The sources of Asian Pacific economic growth," Canadian Journal of Economics, Canadian Economics Association, vol. 29(s1), pages 448-454, April.
    31. Peiers, Bettina, 1997. "Informed Traders, Intervention, and Price Leadership: A Deeper View of the Microstructure of the Foreign Exchange Market," Journal of Finance, American Finance Association, vol. 52(4), pages 1589-1614, September.
    32. repec:cup:etheor:v:12:y:1996:i:3:p:409-31 is not listed on IDEAS
    33. Michael K Pitt & Neil Shephard, "undated". "Filtering via simulation: auxiliary particle filters," Economics Papers 1997-W13, Economics Group, Nuffield College, University of Oxford.
    34. 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(3), pages 291-306, September.
    35. Dravid, A.R., 1991. "Effects of Bid-Ask Spreads and Prices Discreteness on Stock Returns," Weiss Center Working Papers 6-91, Wharton School - Weiss Center for International Financial Research.
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    2. Jeremy Large, 2005. "Estimating Quadratic Variation When Quoted Prices Jump by a Constant Increment," Economics Series Working Papers 2005-FE-05, University of Oxford, Department of Economics.

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