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An improved estimation method and empirical properties of the probability of informed trading

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  • Yan, Yuxing
  • Zhang, Shaojun

Abstract

We report evidence that boundary solutions can cause a bias in the estimate of the probability of informed trading (PIN). We develop an algorithm to overcome this bias and use it to estimate PIN for nearly 80,000 stock-quarters between 1993 and 2004. We obtain two sets of PIN estimates by using the factorized likelihood functions in both Easley, Hvidkjaer, and O’Hara (EHO, 2010) and Lin and Ke (LK, 2011), respectively. We find that the estimate based on the EHO factorization is systematically smaller than the estimate based on the LK factorization, meaning that there is a downward bias associated with the EHO factorization. In addition, we find that boundary solutions appear with a very high frequency when the LK factorization is used. Thus it is necessary to use the LK factorization together with the algorithm in this paper. At last, we document several interesting empirical properties of PIN.

Suggested Citation

  • Yan, Yuxing & Zhang, Shaojun, 2012. "An improved estimation method and empirical properties of the probability of informed trading," Journal of Banking & Finance, Elsevier, vol. 36(2), pages 454-467.
  • Handle: RePEc:eee:jbfina:v:36:y:2012:i:2:p:454-467
    DOI: 10.1016/j.jbankfin.2011.08.003
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    References listed on IDEAS

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    1. David Easley & Soeren Hvidkjaer & Maureen O'Hara, 2002. "Is Information Risk a Determinant of Asset Returns?," Journal of Finance, American Finance Association, vol. 57(5), pages 2185-2221, October.
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    3. Easley, David & Hvidkjaer, Soeren & O’Hara, Maureen, 2010. "Factoring Information into Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 45(2), pages 293-309, April.
    4. Duarte, Jefferson & Han, Xi & Harford, Jarrad & Young, Lance, 2008. "Information asymmetry, information dissemination and the effect of regulation FD on the cost of capital," Journal of Financial Economics, Elsevier, vol. 87(1), pages 24-44, January.
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    6. Xin Zhao & Kee H. Chung, 2006. "Decimal Pricing and Information‐Based Trading: Tick Size and Informational Efficiency of Asset Price," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 33(5‐6), pages 753-766, June.
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    More about this item

    Keywords

    Boundary solution; Probability of informed trading; PIN;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

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