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Insider Trading, Stochastic Liquidity and Equilibrium Prices

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  • Pierre Collin-Dufresne
  • Vyacheslav Fos

Abstract

We extend Kyle's (1985) model of insider trading to the case where liquidity provided by noise traders follows a general stochastic process. Even though the level of noise trading volatility is observable, in equilibrium, measured price impact is stochastic. If noise trading volatility is mean-reverting, then the equilibrium price follows a multivariate 'stochastic bridge' process, which displays stochastic volatility. This is because insiders choose to optimally wait to trade more aggressively when noise trading activity is higher. In equilibrium, market makers anticipate this, and adjust prices accordingly. More private information is revealed when volatility is higher. In time series, insiders trade more aggressively, when measured price impact is lower. Therefore, execution costs to uninformed traders can be higher when price impact is lower.

Suggested Citation

  • Pierre Collin-Dufresne & Vyacheslav Fos, 2012. "Insider Trading, Stochastic Liquidity and Equilibrium Prices," NBER Working Papers 18451, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:18451
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    References listed on IDEAS

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    14. Pierre Collin-Dufresne & Vyacheslav Fos, 2012. "Do prices reveal the presence of informed trading?," NBER Working Papers 18452, National Bureau of Economic Research, Inc.
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    Citations

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    Cited by:

    1. Banerjee, Snehal & Green, Brett, 2015. "Signal or noise? Uncertainty and learning about whether other traders are informed," Journal of Financial Economics, Elsevier, vol. 117(2), pages 398-423.
    2. Danilova, Albina & Julliard, Christian, 2014. "Information asymmetries, volatility, liquidity, and the Tobin Tax," LSE Research Online Documents on Economics 60957, London School of Economics and Political Science, LSE Library.
    3. Pasquariello, Paolo, 2014. "Prospect Theory and market quality," Journal of Economic Theory, Elsevier, vol. 149(C), pages 276-310.
    4. Umut c{C}etin & Albina Danilova, 2014. "Markovian Nash equilibrium in financial markets with asymmetric information and related forward-backward systems," Papers 1407.2420, arXiv.org, revised Sep 2016.
    5. Shino Takayama, 2013. "Price Manipulation, Dynamic Informed Trading and Tame Equilibria: Theory and Computation," Discussion Papers Series 492, School of Economics, University of Queensland, Australia.
    6. Takayama, Shino, 2021. "Price manipulation, dynamic informed trading, and the uniqueness of equilibrium in sequential trading," Journal of Economic Dynamics and Control, Elsevier, vol. 125(C).
    7. Shino Takayama, 2018. "Price Manipulation, Dynamic Informed Trading and Tame Equilibria: Theory and Computation," Discussion Papers Series 603, School of Economics, University of Queensland, Australia.
    8. Pierre Collin-Dufresne & Vyacheslav Fos, 2012. "Do prices reveal the presence of informed trading?," NBER Working Papers 18452, National Bureau of Economic Research, Inc.

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    More about this item

    JEL classification:

    • D4 - Microeconomics - - Market Structure, Pricing, and Design
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • G0 - Financial Economics - - General
    • G00 - Financial Economics - - General - - - General
    • G1 - Financial Economics - - General Financial Markets
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • 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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