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Model Uncertainty and Liquidity

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  • Bryan R. Routledge

    (Carnegie Mellon University)

  • Stanley E. Zin

    (Carnegie Mellon University)

Abstract

We investigate the dynamic portfolio problem of a market-maker for a derivative security whose preferences exhibit uncertainty aversion (Knightian uncertainty). The Choquet-expected utility implied by such preference is used to capture the feature that the trader is uncertain about which model should be used. The prices that emerge from the model are similar to standard models and have the feature that as uncertainty is removed, the derivative prices converge to standard prices. However, the optimal changes in the agent's portfolio that results from the option position are quite different than the standard hedge position. It is this feature that links uncertainty with market liquidity.

Suggested Citation

  • Bryan R. Routledge & Stanley E. Zin, 2000. "Model Uncertainty and Liquidity," Econometric Society World Congress 2000 Contributed Papers 1617, Econometric Society.
    • Handle: RePEc:ecm:wc2000:1617
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    References listed on IDEAS

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    1. Lars Peter Hansen & Thomas J Sargent, 2014. "Robust Permanent Income and Pricing," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 3, pages 33-81, World Scientific Publishing Co. Pte. Ltd..
    2. Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February.
    3. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    4. 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.
    5. Sanford J. Grossman & Merton H. Miller, 1988. "Liquidity and Market Structure," NBER Working Papers 2641, National Bureau of Economic Research, Inc.
    6. Dow, James & Werlang, Sergio Ribeiro da Costa, 1992. "Uncertainty Aversion, Risk Aversion, and the Optimal Choice of Portfolio," Econometrica, Econometric Society, vol. 60(1), pages 197-204, January.
    7. David A. Marshall, 2001. "The crisis of 1998 and the role of the central bank," Economic Perspectives, Federal Reserve Bank of Chicago, vol. 25(Q I), pages 2-23.
    8. Alessandro Prati & Massimo Sbracia, 2002. "Currency crises and uncertainty about fundamentals," Temi di discussione (Economic working papers) 446, Bank of Italy, Economic Research and International Relations Area.
    9. repec:bla:jfinan:v:43:y:1988:i:3:p:617-37 is not listed on IDEAS
    10. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
    11. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    12. Lawrence H. Summers, 2000. "International Financial Crises: Causes, Prevention, and Cures," American Economic Review, American Economic Association, vol. 90(2), pages 1-16, May.
    13. Larry G. Epstein, 2001. "Sharing Ambiguity," American Economic Review, American Economic Association, vol. 91(2), pages 45-50, May.
    14. 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.
    15. Myron S. Scholes, 2000. "Crisis and Risk Management," American Economic Review, American Economic Association, vol. 90(2), pages 17-21, May.
    16. Epstein, Larry G & Wang, Tan, 1994. "Intertemporal Asset Pricing Under Knightian Uncertainty," Econometrica, Econometric Society, vol. 62(2), pages 283-322, March.
    17. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
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    More about this item

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G20 - Financial Economics - - Financial Institutions and Services - - - General

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