IDEAS home Printed from https://ideas.repec.org/a/eee/jfinec/v127y2018i2p342-365.html
   My bibliography  Save this article

Belief-free price formation

Author

Listed:
  • Hörner, Johannes
  • Lovo, Stefano
  • Tomala, Tristan

Abstract

We analyze security price formation in a dynamic setting in which long-lived dealers repeatedly compete for the opportunity to trade with short-lived retail traders. We characterize equilibria in which dealers’ pricing strategies are optimal irrespective of the private information that each dealer may possess. Thus, our model’s predictions are robust to different specifications of the dealers’ information structure. These equilibria reconcile, in a unified and parsimonious framework, price dynamics that are reminiscent of well-known stylized facts: excess price volatility, price to trading flow correlation, stochastic volatility and inventory-related trading.

Suggested Citation

  • Hörner, Johannes & Lovo, Stefano & Tomala, Tristan, 2018. "Belief-free price formation," Journal of Financial Economics, Elsevier, vol. 127(2), pages 342-365.
  • Handle: RePEc:eee:jfinec:v:127:y:2018:i:2:p:342-365
    DOI: 10.1016/j.jfineco.2017.11.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304405X17302921
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jfineco.2017.11.004?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Johannes Hörner & Stefano Lovo, 2009. "Belief-Free Equilibria in Games With Incomplete Information," Econometrica, Econometric Society, vol. 77(2), pages 453-487, March.
    2. Martin D.D. Evans & Richard K. Lyons, 2017. "Order Flow and Exchange Rate Dynamics," World Scientific Book Chapters, in: Studies in Foreign Exchange Economics, chapter 6, pages 247-290, World Scientific Publishing Co. Pte. Ltd..
    3. Thierry Foucault & Ohad Kadan & Eugene Kandel, 2005. "Limit Order Book as a Market for Liquidity," Review of Financial Studies, Society for Financial Studies, vol. 18(4), pages 1171-1217.
    4. Richard C. Green & Dan Li & Norman Schürhoff, 2010. "Price Discovery in Illiquid Markets: Do Financial Asset Prices Rise Faster Than They Fall?," Journal of Finance, American Finance Association, vol. 65(5), pages 1669-1702, October.
    5. 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.
    6. Gromb, Denis & Vayanos, Dimitri, 2002. "Equilibrium and welfare in markets with financially constrained arbitrageurs," Journal of Financial Economics, Elsevier, vol. 66(2-3), pages 361-407.
    7. Huang, Roger D. & Stoll, Hans R., 1996. "Dealer versus auction markets: A paired comparison of execution costs on NASDAQ and the NYSE," Journal of Financial Economics, Elsevier, vol. 41(3), pages 313-357, July.
    8. Desgranges, Gabriel & Foucault, Thierry, 2005. "Reputation-based pricing and price improvements," Journal of Economics and Business, Elsevier, vol. 57(6), pages 493-527.
    9. DESGRANGES, Gabriel & FOUCAULT, Thierry, 2000. "Reputation-based pricing and price improvements in dealership markets," HEC Research Papers Series 716, HEC Paris, revised 01 Mar 2002.
    10. Carole Comerton‐Forde & Terrence Hendershott & Charles M. Jones & Pamela C. Moulton & Mark S. Seasholes, 2010. "Time Variation in Liquidity: The Role of Market‐Maker Inventories and Revenues," Journal of Finance, American Finance Association, vol. 65(1), pages 295-331, February.
    11. Drew Fudenberg & Eric Maskin, 2008. "The Folk Theorem In Repeated Games With Discounting Or With Incomplete Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 11, pages 209-230, World Scientific Publishing Co. Pte. Ltd..
    12. Foucault, Thierry, 1999. "Order flow composition and trading costs in a dynamic limit order market1," Journal of Financial Markets, Elsevier, vol. 2(2), pages 99-134, May.
    13. Milgrom, Paul & Stokey, Nancy, 1982. "Information, trade and common knowledge," Journal of Economic Theory, Elsevier, vol. 26(1), pages 17-27, February.
    14. 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.
    15. Leach, J Chris & Madhavan, Ananth N, 1993. "Price Experimentation and Security Market Structure," Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 375-404.
    16. 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.
    17. Shiller, Robert J, 1981. "Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends?," American Economic Review, American Economic Association, vol. 71(3), pages 421-436, June.
    18. Kandel, Eugene & Marx, Leslie M., 1997. "Nasdaq market structure and spread patterns," Journal of Financial Economics, Elsevier, vol. 45(1), pages 61-89, July.
    19. Chordia, Tarun & Roll, Richard & Subrahmanyam, Avanidhar, 2002. "Order imbalance, liquidity, and market returns," Journal of Financial Economics, Elsevier, vol. 65(1), pages 111-130, July.
    20. Markus K. Brunnermeier & Lasse Heje Pedersen, 2009. "Market Liquidity and Funding Liquidity," The Review of Financial Studies, Society for Financial Studies, vol. 22(6), pages 2201-2238, June.
    21. Bernard de Meyer, 2010. "Price dynamics on a stock market with asymmetric information," Post-Print hal-00625669, HAL.
    22. Angeles de Frutos, M. & Manzano, Carolina, 2005. "Trade disclosure and price dispersion," Journal of Financial Markets, Elsevier, vol. 8(2), pages 183-216, May.
    23. Peter C. Reiss, 2005. "Anonymity, Adverse Selection, and the Sorting of Interdealer Trades," Review of Financial Studies, Society for Financial Studies, vol. 18(2), pages 599-636.
    24. 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.
    25. Hörner, Johannes & Lovo, Stefano & Tomala, Tristan, 2011. "Belief-free equilibria in games with incomplete information: Characterization and existence," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1770-1795, September.
    26. 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.
    27. Madhavan, Ananth, 2000. "Market microstructure: A survey," Journal of Financial Markets, Elsevier, vol. 3(3), pages 205-258, August.
    28. Laurent E. Calvet, 2004. "How to Forecast Long-Run Volatility: Regime Switching and the Estimation of Multifractal Processes," Journal of Financial Econometrics, Oxford University Press, vol. 2(1), pages 49-83.
    29. Hadiza Moussa Saley & Bernard De Meyer, 2003. "On the strategic origin of Brownian motion in finance," International Journal of Game Theory, Springer;Game Theory Society, vol. 31(2), pages 285-319.
    30. Tristan Tomala & J. Hörner & S. Lovo, 2009. "Existence of belief-free equilibria in games with incomplete information and known-own payoffs," Post-Print hal-00495690, HAL.
    31. Jeff Fleming & Chris Kirby & Barbara Ostdiek, 2006. "Information, Trading, and Volatility: Evidence from Weather‐Sensitive Markets," Journal of Finance, American Finance Association, vol. 61(6), pages 2899-2930, December.
    32. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
    33. Bruce Ian Carlin & Miguel Sousa Lobo & S. Viswanathan, 2007. "Episodic Liquidity Crises: Cooperative and Predatory Trading," Journal of Finance, American Finance Association, vol. 62(5), pages 2235-2274, October.
    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. Robert Battalio & Andrew Ellul & Robert Jennings, 2007. "Reputation Effects in Trading on the New York Stock Exchange," Journal of Finance, American Finance Association, vol. 62(3), pages 1243-1271, June.
    36. James P. Weston, 2000. "Competition on the Nasdaq and the Impact of Recent Market Reforms," Journal of Finance, American Finance Association, vol. 55(6), pages 2565-2598, December.
    37. Drew Fudenberg & Yuichi Yamamoto, 2010. "Repeated Games Where the Payoffs and Monitoring Structure Are Unknown," Econometrica, Econometric Society, vol. 78(5), pages 1673-1710, September.
    38. Green, Richard C. & Hollifield, Burton & Schurhoff, Norman, 2007. "Dealer intermediation and price behavior in the aftermarket for new bond issues," Journal of Financial Economics, Elsevier, vol. 86(3), pages 643-682, December.
    39. LeRoy, Stephen F & Porter, Richard D, 1981. "The Present-Value Relation: Tests Based on Implied Variance Bounds," Econometrica, Econometric Society, vol. 49(3), pages 555-574, May.
    40. Benveniste, Lawrence M. & Marcus, Alan J. & Wilhelm, William J., 1992. "What's special about the specialist?," Journal of Financial Economics, Elsevier, vol. 32(1), pages 61-86, August.
    41. 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.
    42. Hasabrouck, Joel & Sofianos, George, 1993. "The Trades of Market Makers: An Empirical Analysis of NYSE Specialists," Journal of Finance, American Finance Association, vol. 48(5), pages 1565-1593, December.
    43. Andrew Atkeson & Andrea L. Eisfeldt & Pierre-Olivier Weill, 2013. "The market for OTC derivatives," Staff Report 479, Federal Reserve Bank of Minneapolis.
    44. Hendrik Bessembinder & William Maxwell, 2008. "Markets: Transparency and the Corporate Bond Market," Journal of Economic Perspectives, American Economic Association, vol. 22(2), pages 217-234, Spring.
    45. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    46. 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.
    47. repec:dau:papers:123456789/9834 is not listed on IDEAS
    48. 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.
    49. Ho, Thomas & Stoll, Hans R., 1981. "Optimal dealer pricing under transactions and return uncertainty," Journal of Financial Economics, Elsevier, vol. 9(1), pages 47-73, March.
    50. Ioanid Rosu, 2009. "A Dynamic Model of the Limit Order Book," Post-Print hal-00515873, HAL.
    51. Goettler, Ronald L. & Parlour, Christine A. & Rajan, Uday, 2009. "Informed traders and limit order markets," Journal of Financial Economics, Elsevier, vol. 93(1), pages 67-87, July.
    52. Fudenberg, Drew & Yamamoto, Yuichi, 2011. "Learning from private information in noisy repeated games," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1733-1769, September.
    53. Oliver Hansch & Narayan Y. Naik & S. Viswanathan, 1998. "Do Inventories Matter in Dealership Markets? Evidence from the London Stock Exchange," Journal of Finance, American Finance Association, vol. 53(5), pages 1623-1656, October.
    54. Bernard de Meyer & Hadiza Moussa Saley, 2003. "On the strategic origin of Brownian motion in Finance," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00259737, HAL.
    55. Peter C. Reiss & Ingrid M. Werner, 1998. "Does Risk Sharing Motivate Interdealer Trading?," Journal of Finance, American Finance Association, vol. 53(5), pages 1657-1703, October.
    56. R. Cont, 2001. "Empirical properties of asset returns: stylized facts and statistical issues," Quantitative Finance, Taylor & Francis Journals, vol. 1(2), pages 223-236.
    57. Bernard de Meyer & Hadiza Moussa Saley, 2003. "On the strategic origin of Brownian motion in Finance," Post-Print hal-00259737, HAL.
    58. Ronald L. Goettler & Christine A. Parlour & Uday Rajan, 2005. "Equilibrium in a Dynamic Limit Order Market," Journal of Finance, American Finance Association, vol. 60(5), pages 2149-2192, October.
    59. Ioanid Rosu, 2009. "A Dynamic Model of the Limit Order Book," Review of Financial Studies, Society for Financial Studies, vol. 22(11), pages 4601-4641, November.
    60. Alex Boulatov & Thomas J. George, 2013. "Hidden and Displayed Liquidity in Securities Markets with Informed Liquidity Providers," Review of Financial Studies, Society for Financial Studies, vol. 26(8), pages 2096-2137.
    61. Katrina Ellis & Roni Michaely & Maureen O'Hara, 2002. "The Making of a Dealer Market: From Entry to Equilibrium in the Trading of Nasdaq Stocks," Journal of Finance, American Finance Association, vol. 57(5), pages 2289-2316, October.
    62. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yan Han & Xue-Feng Shao & Xin Cui & Xiao-Guang Yue & Kelvin Joseph Bwalya & Otilia Manta, 2019. "Assessing Investor Belief: An Analysis of Trading for Sustainable Growth of Stock Markets," Sustainability, MDPI, vol. 11(20), pages 1-18, October.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Vayanos, Dimitri & Wang, Jiang, 2013. "Market Liquidity—Theory and Empirical Evidence ," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 1289-1361, Elsevier.
    2. Biais, Bruno & Glosten, Larry & Spatt, Chester, 2005. "Market microstructure: A survey of microfoundations, empirical results, and policy implications," Journal of Financial Markets, Elsevier, vol. 8(2), pages 217-264, May.
    3. Vayanos, Dimitri & Wang, Jiang, 2012. "Market liquidity - theory and empirical evidence," LSE Research Online Documents on Economics 119044, London School of Economics and Political Science, LSE Library.
    4. Ledenyov, Dimitri O. & Ledenyov, Viktor O., 2015. "Wave function method to forecast foreign currencies exchange rates at ultra high frequency electronic trading in foreign currencies exchange markets," MPRA Paper 67470, University Library of Munich, Germany.
    5. Osler, Carol L. & Mende, Alexander & Menkhoff, Lukas, 2011. "Price discovery in currency markets," Journal of International Money and Finance, Elsevier, vol. 30(8), pages 1696-1718.
    6. Murphy Jun Jie Lee, 2013. "The Microstructure of Trading Processes on the Singapore Exchange," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 4, July-Dece.
    7. Haoxiang Zhu, 2014. "Do Dark Pools Harm Price Discovery?," Review of Financial Studies, Society for Financial Studies, vol. 27(3), pages 747-789.
    8. Havran, Dániel & Erb, Tamás, 2015. "Mit veszítünk a piaci súrlódásokkal?. A pénzügyi piacok mikrostruktúrája [Trading mechanisms and market frictions. Microstructure of the financial markets]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(3), pages 229-262.
    9. Madhavan, Ananth, 2000. "Market microstructure: A survey," Journal of Financial Markets, Elsevier, vol. 3(3), pages 205-258, August.
    10. Cenesizoglu, Tolga & Grass, Gunnar, 2018. "Bid- and ask-side liquidity in the NYSE limit order book," Journal of Financial Markets, Elsevier, vol. 38(C), pages 14-38.
    11. Jagjeev Dosanjh, 2017. "Exchange Initiatives and Market Efficiency: Evidence from the Australian Securities Exchange," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 1-2017.
    12. repec:uts:finphd:34 is not listed on IDEAS
    13. Craig W. Holden & Stacey Jacobsen & Avanidhar Subrahmanyam, 2014. "The Empirical Analysis of Liquidity," Foundations and Trends(R) in Finance, now publishers, vol. 8(4), pages 263-365, December.
    14. 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).
    15. Murphy Jun Jie Lee, 2013. "The Microstructure of Trading Processes on the Singapore Exchange," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 2-2013.
    16. Georges Dionne & Xiaozhou Zhou, 2020. "The dynamics of ex-ante weighted spread: an empirical analysis," Quantitative Finance, Taylor & Francis Journals, vol. 20(4), pages 593-617, April.
    17. Brolley, Michael & Malinova, Katya, 2021. "Informed liquidity provision in a limit order market," Journal of Financial Markets, Elsevier, vol. 52(C).
    18. 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.
    19. Allen, Linda & Gottesman, Aron A. & Peng, Lin, 2012. "The impact of joint participation on liquidity in equity and syndicated bank loan markets," Journal of Financial Intermediation, Elsevier, vol. 21(1), pages 50-78.
    20. Mazza, Paolo, 2015. "Price dynamics and market liquidity: An intraday event study on Euronext," The Quarterly Review of Economics and Finance, Elsevier, vol. 56(C), pages 139-153.
    21. Martin D. Gould & Mason A. Porter & Stacy Williams & Mark McDonald & Daniel J. Fenn & Sam D. Howison, 2010. "Limit Order Books," Papers 1012.0349, arXiv.org, revised Apr 2013.

    More about this item

    Keywords

    Financial market microstructure; Informed dealers; Price volatility; Belief-free equilibria;
    All these keywords.

    JEL classification:

    • G1 - Financial Economics - - General Financial Markets
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jfinec:v:127:y:2018:i:2:p:342-365. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505576 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.