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Semiparametric estimation of the bid–ask spread in extended roll models

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  • Chen, Xiaohong
  • Linton, Oliver
  • Schneeberger, Stefan
  • Yi, Yanping

Abstract

We propose new methods for estimating the bid–ask spread from observed transaction prices alone. Our methods are based on the empirical characteristic function. We compare our methods theoretically and numerically with the Roll (1984) method as well as with its best known competitor, the Hasbrouck (2004) method, and find that our estimators perform much better when this distribution is far from Gaussian. Our methods are applied to the E-mini futures contract on the S&P 500 during the Flash Crash of May 6, 2010. We also establish T consistency and asymptotic normality of the proposed estimators in various extended Roll models.

Suggested Citation

  • Chen, Xiaohong & Linton, Oliver & Schneeberger, Stefan & Yi, Yanping, 2019. "Semiparametric estimation of the bid–ask spread in extended roll models," Journal of Econometrics, Elsevier, vol. 208(1), pages 160-178.
    • Handle: RePEc:eee:econom:v:208:y:2019:i:1:p:160-178
    DOI: 10.1016/j.jeconom.2018.09.010
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    References listed on IDEAS

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    1. Hasbrouck, Joel, 2004. "Liquidity in the Futures Pits: Inferring Market Dynamics from Incomplete Data," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 39(2), pages 305-326, June.
    2. 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.
    3. Jankowitsch, Rainer & Nashikkar, Amrut & Subrahmanyam, Marti G., 2011. "Price dispersion in OTC markets: A new measure of liquidity," Journal of Banking & Finance, Elsevier, vol. 35(2), pages 343-357, February.
    4. Foucault, Thierry & Pagano, Marco & Roell, Ailsa, 2013. "Market Liquidity: Theory, Evidence, and Policy," OUP Catalogue, Oxford University Press, number 9780199936243, Decembrie.
    5. Andersen, Torben G. & Bondarenko, Oleg, 2014. "VPIN and the flash crash," Journal of Financial Markets, Elsevier, vol. 17(C), pages 1-46.
    6. Glosten, Lawrence R. & Milgrom, Paul R., 1985. "Bid, ask and transaction prices in a specialist market with heterogeneously informed traders," Journal of Financial Economics, Elsevier, vol. 14(1), pages 71-100, March.
    7. Dmitriy Muravyev, 2016. "Order Flow and Expected Option Returns," Journal of Finance, American Finance Association, vol. 71(2), pages 673-708, April.
    8. Carrasco, Marine & Chernov, Mikhail & Florens, Jean-Pierre & Ghysels, Eric, 2007. "Efficient estimation of general dynamic models with a continuum of moment conditions," Journal of Econometrics, Elsevier, vol. 140(2), pages 529-573, October.
    9. Neal, Robert & Wheatley, Simon M., 1998. "Adverse selection and bid-ask spreads: Evidence from closed-end funds," Journal of Financial Markets, Elsevier, vol. 1(1), pages 121-149, April.
    10. Huang, Roger D & Stoll, Hans R, 1997. "The Components of the Bid-Ask Spread: A General Approach," Review of Financial Studies, Society for Financial Studies, vol. 10(4), pages 995-1034.
    11. Chen, Xiaohong & Linton, Oliver & Yi, Yanping, 2017. "Semiparametric identification of the bid–ask spread in extended Roll models," Journal of Econometrics, Elsevier, vol. 200(2), pages 312-325.
    12. Michael Bleaney & Zhiyong Li, 2015. "The performance of bid-ask spread estimators under less than ideal conditions," Studies in Economics and Finance, Emerald Group Publishing Limited, vol. 32(1), pages 98-127, March.
    13. Shane A. Corwin & Paul Schultz, 2012. "A Simple Way to Estimate Bid‐Ask Spreads from Daily High and Low Prices," Journal of Finance, American Finance Association, vol. 67(2), pages 719-760, April.
    14. David Easley & Marcos M. López de Prado & Maureen O'Hara, 2012. "Flow Toxicity and Liquidity in a High-frequency World," Review of Financial Studies, Society for Financial Studies, vol. 25(5), pages 1457-1493.
    15. Joel Hasbrouck, 2009. "Trading Costs and Returns for U.S. Equities: Estimating Effective Costs from Daily Data," Journal of Finance, American Finance Association, vol. 64(3), pages 1445-1477, June.
    16. Paul Schultz, 2001. "Corporate Bond Trading Costs: A Peek Behind the Curtain," Journal of Finance, American Finance Association, vol. 56(2), pages 677-698, April.
    17. Roll, Richard, 1984. "A Simple Implicit Measure of the Effective Bid-Ask Spread in an Efficient Market," Journal of Finance, American Finance Association, vol. 39(4), pages 1127-1139, September.
    18. Goyenko, Ruslan Y. & Holden, Craig W. & Trzcinka, Charles A., 2009. "Do liquidity measures measure liquidity?," Journal of Financial Economics, Elsevier, vol. 92(2), pages 153-181, May.
    19. Harris, Lawrence, 1990. "Statistical Properties of the Roll Serial Covariance Bid/Ask Spread Estimator," Journal of Finance, American Finance Association, vol. 45(2), pages 579-590, June.
    20. Amy K. Edwards & Lawrence E. Harris & Michael S. Piwowar, 2007. "Corporate Bond Market Transaction Costs and Transparency," Journal of Finance, American Finance Association, vol. 62(3), pages 1421-1451, June.
    21. Lawrence E. Harris & Michael S. Piwowar, 2006. "Secondary Trading Costs in the Municipal Bond Market," Journal of Finance, American Finance Association, vol. 61(3), pages 1361-1397, June.
    22. Takatoshi Ito & Masahiro Yamada, 2016. "Puzzles in the Forex Tokyo “Fixing”: Order Imbalances and Biased Pricing by Banks," NBER Working Papers 22820, National Bureau of Economic Research, Inc.
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    More about this item

    Keywords

    Bid–ask spread; Roll model; Semiparametric estimation; Empirical characteristic function; Latent variables;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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