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Robust pricing under strategic trading

Author

Listed:
  • Gong, Aibo
  • Ke, Shaowei
  • Qiu, Yawen
  • Shen, Rui

Abstract

We study strategic trading with a market maker who does not know the joint distribution of public information and an asset's value, and hence cannot interpret information properly. Following a public event, a probabilistically informed trader who knows the distribution and liquidity traders trade. The market maker adopts a robust linear pricing strategy that has the best worst-case payoff guarantee. We show that such a strategy is equivalent to a two-step learning procedure, and characterize the unique linear equilibrium. Expected equilibrium prices exhibit underreaction to public information. If the trading frequency is arbitrarily high, the market maker fully reveals the distribution in the price eventually.

Suggested Citation

  • Gong, Aibo & Ke, Shaowei & Qiu, Yawen & Shen, Rui, 2022. "Robust pricing under strategic trading," Journal of Economic Theory, Elsevier, vol. 199(C).
    • Handle: RePEc:eee:jetheo:v:199:y:2022:i:c:s0022053121000181
    DOI: 10.1016/j.jet.2021.105201
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    as
    1. Lars Peter Hansen & Thomas J Sargent, 2014. "Beliefs, Doubts and Learning: Valuing Macroeconomic Risk," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 10, pages 331-377, World Scientific Publishing Co. Pte. Ltd..
    2. Julian Kozlowski & Laura Veldkamp & Venky Venkateswaran, 2020. "The Tail That Wags the Economy: Beliefs and Persistent Stagnation," Journal of Political Economy, University of Chicago Press, vol. 128(8), pages 2839-2879.
    3. Harrison Hong & Terence Lim & Jeremy C. Stein, 2000. "Bad News Travels Slowly: Size, Analyst Coverage, and the Profitability of Momentum Strategies," Journal of Finance, American Finance Association, vol. 55(1), pages 265-295, February.
    4. Liyan Yang & Haoxiang Zhu, 2020. "Back-Running: Seeking and Hiding Fundamental Information in Order Flows," Review of Finance, European Finance Association, vol. 33(4), pages 1484-1533.
    5. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2005. "A Smooth Model of Decision Making under Ambiguity," Econometrica, Econometric Society, vol. 73(6), pages 1849-1892, November.
    6. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    7. Duffie, Darrell & Dworczak, Piotr, 2021. "Robust benchmark design," Journal of Financial Economics, Elsevier, vol. 142(2), pages 775-802.
    8. Harrison Hong & Jeremy C. Stein, 1999. "A Unified Theory of Underreaction, Momentum Trading, and Overreaction in Asset Markets," Journal of Finance, American Finance Association, vol. 54(6), pages 2143-2184, December.
    9. Lars Peter Hansen & Thomas J Sargent, 2014. "Robust Control and Model Uncertainty," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 5, pages 145-154, World Scientific Publishing Co. Pte. Ltd..
    10. Larry G. Epstein & Martin Schneider, 2008. "Ambiguity, Information Quality, and Asset Pricing," Journal of Finance, American Finance Association, vol. 63(1), pages 197-228, February.
    11. repec:oup:restud:v:84:y::i:1:p:237-276. is not listed on IDEAS
    12. Jianjun Miao & Alejandro Rivera, 2016. "Robust Contracts in Continuous Time," Econometrica, Econometric Society, vol. 84, pages 1405-1440, July.
    13. Bernard, Victor L. & Thomas, Jacob K., 1990. "Evidence that stock prices do not fully reflect the implications of current earnings for future earnings," Journal of Accounting and Economics, Elsevier, vol. 13(4), pages 305-340, December.
    14. Zengjing Chen & Larry Epstein, 2002. "Ambiguity, Risk, and Asset Returns in Continuous Time," Econometrica, Econometric Society, vol. 70(4), pages 1403-1443, July.
    15. Ikenberry, David & Lakonishok, Josef & Vermaelen, Theo, 1995. "Market underreaction to open market share repurchases," Journal of Financial Economics, Elsevier, vol. 39(2-3), pages 181-208.
    16. Beaver, Wh, 1968. "Information Content Of Annual Earnings Announcements," Journal of Accounting Research, Wiley Blackwell, vol. 6, pages 67-92.
    17. Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November.
    18. Kewei Hou & Chen Xue & Lu Zhang, 2020. "Replicating Anomalies," The Review of Financial Studies, Society for Financial Studies, vol. 33(5), pages 2019-2133.
    19. Epstein, Larry G & Wang, Tan, 1994. "Intertemporal Asset Pricing Under Knightian Uncertainty," Econometrica, Econometric Society, vol. 62(2), pages 283-322, March.
    20. Scott Condie & Jayant V. Ganguli, 2011. "Ambiguity and Rational Expectations Equilibria," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(3), pages 821-845.
    21. Subir Bose & Ludovic Renou, 2014. "Mechanism Design With Ambiguous Communication Devices," Econometrica, Econometric Society, vol. 82, pages 1853-1872, September.
    22. Nicolas S. Lambert & Michael Ostrovsky & Mikhail Panov, 2018. "Strategic Trading in Informationally Complex Environments," Econometrica, Econometric Society, vol. 86(4), pages 1119-1157, July.
    23. Bernard, Vl & Thomas, Jk, 1989. "Post-Earnings-Announcement Drift - Delayed Price Response Or Risk Premium," Journal of Accounting Research, Wiley Blackwell, vol. 27, pages 1-36.
    24. RenÈ Caldentey & Ennio Stacchetti, 2010. "Insider Trading With a Random Deadline," Econometrica, Econometric Society, vol. 78(1), pages 245-283, January.
    25. Yongqiang Chu & David Hirshleifer & Liang Ma, 2020. "The Causal Effect of Limits to Arbitrage on Asset Pricing Anomalies," Journal of Finance, American Finance Association, vol. 75(5), pages 2631-2672, October.
    26. Benigno, Pierpaolo & Paciello, Luigi, 2014. "Monetary policy, doubts and asset prices," Journal of Monetary Economics, Elsevier, vol. 64(C), pages 85-98.
    27. Ball, R & Brown, P, 1968. "Empirical Evaluation Of Accounting Income Numbers," Journal of Accounting Research, Wiley Blackwell, vol. 6(2), pages 159-178.
    28. Blankespoor, Elizabeth & deHaan, Ed & Marinovic, Iván, 2020. "Disclosure processing costs, investors’ information choice, and equity market outcomes: A review," Journal of Accounting and Economics, Elsevier, vol. 70(2).
    29. Shokofeh Zinodiny & Sadegh Rezaei & Saralees Nadarajah, 2017. "Minimax Estimation of the Mean Matrix of the Matrix Variate Normal Distribution under the Divergence Loss Function," Statistica, Department of Statistics, University of Bologna, vol. 77(4), pages 369-384.
    30. Kfir Eliaz & Ran Spiegler, 2019. "The Model Selection Curse," American Economic Review: Insights, American Economic Association, vol. 1(2), pages 127-140, September.
    31. , G., 2013. "Managing pessimistic expectations and fiscal policy," Theoretical Economics, Econometric Society, vol. 8(1), January.
    32. Galanis, S. & Ioannou, C. & Kotronis, S., 2019. "Information Aggregation Under Ambiguity: Theory and Experimental Evidence," Working Papers 20/05, Department of Economics, City University London.
    33. Gabriel Carroll, 2015. "Robustness and Linear Contracts," American Economic Review, American Economic Association, vol. 105(2), pages 536-563, February.
    34. Lars Peter Hansen, 2007. "Beliefs, Doubts and Learning: Valuing Economic Risk," NBER Working Papers 12948, National Bureau of Economic Research, Inc.
    35. Holden, Craig W & Subrahmanyam, Avanidhar, 1992. "Long-Lived Private Information and Imperfect Competition," Journal of Finance, American Finance Association, vol. 47(1), pages 247-270, March.
    36. David Easley & Maureen O'Hara, 2009. "Ambiguity and Nonparticipation: The Role of Regulation," The Review of Financial Studies, Society for Financial Studies, vol. 22(5), pages 1817-1843, May.
    37. Michaely, Roni & Thaler, Richard H & Womack, Kent L, 1995. "Price Reactions to Dividend Initiations and Omissions: Overreaction or Drift?," Journal of Finance, American Finance Association, vol. 50(2), pages 573-608, June.
    38. Kerry Back & C. Henry Cao & Gregory A. Willard, 2000. "Imperfect Competition among Informed Traders," Journal of Finance, American Finance Association, vol. 55(5), pages 2117-2155, October.
    39. Andrea Frazzini, 2006. "The Disposition Effect and Underreaction to News," Journal of Finance, American Finance Association, vol. 61(4), pages 2017-2046, August.
    40. Gabriel Carroll, 2017. "Robustness and Separation in Multidimensional Screening," Econometrica, Econometric Society, vol. 85, pages 453-488, March.
    41. Keisuke Hirano & Jack R. Porter, 2003. "Asymptotic Efficiency in Parametric Structural Models with Parameter-Dependent Support," Econometrica, Econometric Society, vol. 71(5), pages 1307-1338, September.
    42. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
    43. repec:bla:jfinan:v:53:y:1998:i:6:p:1839-1885 is not listed on IDEAS
    44. Liyan Yang & Haoxiang Zhu, 2020. "Back-Running: Seeking and Hiding Fundamental Information in Order Flows," The Review of Financial Studies, Society for Financial Studies, vol. 33(4), pages 1484-1533.
    45. Alfredo di Tillio & Nenad Kos & Matthias Messner, 2017. "The Design of Ambiguous Mechanisms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(1), pages 237-276.
    46. Han, Bing & Tang, Ya & Yang, Liyan, 2016. "Public information and uninformed trading: Implications for market liquidity and price efficiency," Journal of Economic Theory, Elsevier, vol. 163(C), pages 604-643.
    47. Huddart, Steven & Hughes, John S & Levine, Carolyn B, 2001. "Public Disclosure and Dissimulation of Insider Trades," Econometrica, Econometric Society, vol. 69(3), pages 665-681, May.
    48. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    49. Holden, Craig W. & Subrahmanyam, Avanidhar, 1994. "Risk aversion, imperfect competition, and long-lived information," Economics Letters, Elsevier, vol. 44(1-2), pages 181-190.
    50. David Easley & Maureen O'Hara, 2010. "Microstructure and Ambiguity," Journal of Finance, American Finance Association, vol. 65(5), pages 1817-1846, October.
    51. Zinodiny, S. & Rezaei, S. & Nadarajah, S., 2017. "Bayes minimax estimation of the mean matrix of matrix-variate normal distribution under balanced loss function," Statistics & Probability Letters, Elsevier, vol. 125(C), pages 110-120.
    52. David Hirshleifer & Sonya Seongyeon Lim & Siew Hong Teoh, 2009. "Driven to Distraction: Extraneous Events and Underreaction to Earnings News," Journal of Finance, American Finance Association, vol. 64(5), pages 2289-2325, October.
    53. Chan, Louis K C & Jegadeesh, Narasimhan & Lakonishok, Josef, 1996. "Momentum Strategies," Journal of Finance, American Finance Association, vol. 51(5), pages 1681-1713, December.
    54. Foster, F Douglas & Viswanathan, S, 1996. "Strategic Trading When Agents Forecast the Forecasts of Others," Journal of Finance, American Finance Association, vol. 51(4), pages 1437-1478, September.
    55. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
    56. Subrahmanyam, Avanidhar, 1991. "Risk Aversion, Market Liquidity, and Price Efficiency," The Review of Financial Studies, Society for Financial Studies, vol. 4(3), pages 416-441.
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    More about this item

    Keywords

    Robust pricing; Strategic trading; Ambiguity; Underreaction to public information;
    All these keywords.

    JEL classification:

    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • G00 - Financial Economics - - General - - - General
    • G40 - Financial Economics - - Behavioral Finance - - - General

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