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Price Manipulation, Dynamic Informed Trading and Tame Equilibria: Theory and Computation

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Abstract

This paper studies the manipulation of prices by using a dynamic version of the Glosten and Milgrom (1985) model with a long-lived informed trader. We make a fundamental contribution by clarifying the conditions under which a unique equilibrium exists, and in what situations this equilibrium involves manipulation of prices by the informed trader. Furthermore, within the unique equilibrium, we characterize bid–ask spreads and show that bid and ask prices are monotonically increasing in the market maker’s prior belief. Finally, we propose a computational method to find equilibria in the model. Our simulation results confirm our theoretical findings and find multiple equilibria in some cases.

Suggested Citation

  • 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.
  • Handle: RePEc:qld:uq2004:603
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    1. Jordan, Bradford D. & Jordan, Susan D., 1996. "Salomon brothers and the May 1991 Treasury auction: Analysis of a market corner," Journal of Banking & Finance, Elsevier, vol. 20(1), pages 25-40, January.
    2. Chakraborty, Archishman & Yilmaz, Bilge, 2004. "Informed manipulation," Journal of Economic Theory, Elsevier, vol. 114(1), pages 132-152, January.
    3. Markus K. Brunnermeier & Lasse Heje Pedersen, 2009. "Market Liquidity and Funding Liquidity," Review of Financial Studies, Society for Financial Studies, vol. 22(6), pages 2201-2238, June.
    4. Robert A. Jarrow, 2008. "Market Manipulation, Bubbles, Corners, and Short Squeezes," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 6, pages 105-130, World Scientific Publishing Co. Pte. Ltd..
    5. Ozsoylev, Han N. & Takayama, Shino, 2010. "Price, trade size, and information revelation in multi-period securities markets," Journal of Financial Markets, Elsevier, vol. 13(1), pages 49-76, February.
    6. Koski, Jennifer Lynch & Michaely, Roni, 2000. "Prices, Liquidity, and the Information Content of Trades," Review of Financial Studies, Society for Financial Studies, vol. 13(3), pages 659-696.
    7. Vitale, Paolo, 2000. "Speculative noise trading and manipulation in the foreign exchange market," Journal of International Money and Finance, Elsevier, vol. 19(5), pages 689-712, October.
    8. Allen, Franklin & Gorton, Gary, 1992. "Stock price manipulation, market microstructure and asymmetric information," European Economic Review, Elsevier, vol. 36(2-3), pages 624-630, April.
    9. Itzhak Ben‐David & Francesco Franzoni & Augustin Landier & Rabih Moussawi, 2013. "Do Hedge Funds Manipulate Stock Prices?," Journal of Finance, American Finance Association, vol. 68(6), pages 2383-2434, December.
    10. Riccardo Calcagno & Stefano Lovo, 2006. "Bid-Ask Price Competition with Asymmetric Information between Market-Makers," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(2), pages 329-355.
    11. Jeong, Giho & Kang, Jangkoo & Kwon, Kyung Yoon, 2018. "Liquidity skewness premium," The North American Journal of Economics and Finance, Elsevier, vol. 46(C), pages 130-150.
    12. Bruno Biais & David Martimort & Jean-Charles Rochet, 2000. "Competing Mechanisms in a Common Value Environment," Econometrica, Econometric Society, vol. 68(4), pages 799-838, July.
    13. 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.
    14. De Meyer, Bernard, 2010. "Price dynamics on a stock market with asymmetric information," Games and Economic Behavior, Elsevier, vol. 69(1), pages 42-71, May.
    15. David Easley & Robert F. Engle & Maureen O'Hara & Liuren Wu, 2008. "Time-Varying Arrival Rates of Informed and Uninformed Trades," Journal of Financial Econometrics, Oxford University Press, vol. 6(2), pages 171-207, Spring.
    16. Bernard de Meyer, 2010. "Price dynamics on a stock market with asymmetric information," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00625669, HAL.
    17. Markus K. Brunnermeier, 2009. "Deciphering the Liquidity and Credit Crunch 2007-2008," Journal of Economic Perspectives, American Economic Association, vol. 23(1), pages 77-100, Winter.
    18. Mikhail Golosov & Guido Lorenzoni & Aleh Tsyvinski, 2014. "Decentralized Trading With Private Information," Econometrica, Econometric Society, vol. 82(3), pages 1055-1091, May.
    19. Bernard de Meyer, 2010. "Price dynamics on a stock market with asymmetric information," Post-Print hal-00625669, HAL.
    20. Marco Pagano & Paolo Volpin, 2012. "Securitization, Transparency, and Liquidity," The Review of Financial Studies, Society for Financial Studies, vol. 25(8), pages 2417-2453.
    21. Babus, Ana & Hu, Tai-Wei, 2017. "Endogenous intermediation in over-the-counter markets," Journal of Financial Economics, Elsevier, vol. 125(1), pages 200-215.
    22. Itay Goldstein & Alexander Guembel, 2008. "Manipulation and the Allocational Role of Prices," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(1), pages 133-164.
    23. Gur Huberman & Werner Stanzl, 2004. "Price Manipulation and Quasi-Arbitrage," Econometrica, Econometric Society, vol. 72(4), pages 1247-1275, July.
    24. Calcagno, Riccardo & Lovo, Stefano M., 1998. "Bid-Ask Price Competition with Asymmetric Information between Market Makers," LIDAM Discussion Papers IRES 1998012, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    25. Kondor, Péter & Babus, Ana, 2013. "Trading and information diffusion in OTC markets," CEPR Discussion Papers 9271, C.E.P.R. Discussion Papers.
    26. Alex Boulatov & Bart Taub, 2014. "Liquidity and the marginal value of information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(2), pages 307-334, February.
    27. Merrick, John Jr & Naik, Narayan Y. & Yadav, Pradeep K., 2005. "Strategic trading behavior and price distortion in a manipulated market: anatomy of a squeeze," Journal of Financial Economics, Elsevier, vol. 77(1), pages 171-218, July.
    28. Venkatesh, P C & Chiang, R, 1986. "Information Asymmetry and the Dealer's Bid-Ask Spread: A Case Study of Earnings and Dividend Announcements," Journal of Finance, American Finance Association, vol. 41(5), pages 1089-1102, December.
    29. Krinsky, Itzhak & Lee, Jason, 1996. "Earnings Announcements and the Components of the Bid-Ask Spread," Journal of Finance, American Finance Association, vol. 51(4), pages 1523-1535, September.
    30. Patrick Bolton & Tano Santos & Jose A. Scheinkman, 2016. "Cream-Skimming in Financial Markets," Journal of Finance, American Finance Association, vol. 71(2), pages 709-736, April.
    31. Kerry Back & Shmuel Baruch, 2007. "Working Orders in Limit Order Markets and Floor Exchanges," Journal of Finance, American Finance Association, vol. 62(4), pages 1589-1621, August.
    32. Albert S. Kyle & S. Viswanathan, 2008. "How to Define Illegal Price Manipulation," American Economic Review, American Economic Association, vol. 98(2), pages 274-279, May.
    33. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
    34. Kerry Back & Shmuel Baruch, 2004. "Information in Securities Markets: Kyle Meets Glosten and Milgrom," Econometrica, Econometric Society, vol. 72(2), pages 433-465, March.
    35. Pierre Collin-Dufresne & Vyacheslav Fos, 2012. "Insider Trading, Stochastic Liquidity and Equilibrium Prices," NBER Working Papers 18451, National Bureau of Economic Research, Inc.
    36. Felixson, Karl & Pelli, Anders, 1999. "Day end returns--stock price manipulation," Journal of Multinational Financial Management, Elsevier, vol. 9(2), pages 95-127, March.
    37. Back, Kerry, 1992. "Insider Trading in Continuous Time," Review of Financial Studies, Society for Financial Studies, vol. 5(3), pages 387-409.
    38. Rajesh K. Aggarwal & Guojun Wu, 2006. "Stock Market Manipulations," The Journal of Business, University of Chicago Press, vol. 79(4), pages 1915-1954, July.
    39. Tālis J. Putniņš, 2012. "Market Manipulation: A Survey," Journal of Economic Surveys, Wiley Blackwell, vol. 26(5), pages 952-967, December.
    40. I. Krinsky & J. Lee, 1996. "Earning Announcements and the Components of the Bid-Ask Aspread," Quantitative Studies in Economics and Population Research Reports 313, McMaster University.
    41. Monnet, Cyril & Quintin, Erwan, 2017. "Limited disclosure and hidden orders in asset markets," Journal of Financial Economics, Elsevier, vol. 123(3), pages 602-616.
    42. Chakraborty, Archishman & Yilmaz, Bilge, 2004. "Manipulation in market order models," Journal of Financial Markets, Elsevier, vol. 7(2), pages 187-206, February.
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    More about this item

    Keywords

    Market microstructure; Glosten–Milgrom; Insider trading; Dynamic trading; Price formation; Sequential trade; Asymmetric information; Bid–ask spreads.;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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