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Model Uncertainty and Liquidity

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Author Info
Bryan R. Routledge (Carnegie Mellon University)
Stanley E. Zin (Carnegie Mellon University)

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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.

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Paper provided by Econometric Society in its series Econometric Society World Congress 2000 Contributed Papers with number 1617.

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Date of creation: 01 Aug 2000
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Handle: RePEc:ecm:wc2000:1617

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  1. Epstein, Larry G & Wang, Tan, 1994. "Intertemporal Asset Pricing Under Knightian Uncertainty," Econometrica, Econometric Society, vol. 62(2), pages 283-322, March. [Downloadable!] (restricted)
  2. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April. [Downloadable!] (restricted)
  3. Myron S. Scholes, 2000. "Crisis and Risk Management," American Economic Review, American Economic Association, vol. 90(2), pages 17-21, May. [Downloadable!] (restricted)
  4. Hansen, Lars Peter & Sargent, Thomas J & Tallarini, Thomas D, Jr, 1999. "Robust Permanent Income and Pricing," Review of Economic Studies, Blackwell Publishing, vol. 66(4), pages 873-907, October. [Downloadable!] (restricted)
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  5. Grossman, S.J. & Miller, M.H., 1988. "Liquidity And Market Structure," Papers 88, Princeton, Department of Economics - Financial Research Center.
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  6. Alessandro Prati & Massimo Sbracia, 2002. "Currency crises and uncertainty about fundamentals," Temi di discussione (Economic working papers) 446, Bank of Italy, Economic Research Department. [Downloadable!]
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  7. Larry G. Epstein, 2001. "Sharing Ambiguity," American Economic Review, American Economic Association, vol. 91(2), pages 45-50, May. [Downloadable!] (restricted)
  8. Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February. [Downloadable!] (restricted)
  9. 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. [Downloadable!] (restricted)
  10. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May. [Downloadable!] (restricted)
  11. David A. Marshall, 2001. "The crisis of 1998 and the role of the central bank," Economic Perspectives, Federal Reserve Bank of Chicago, issue Q I, pages 2-23. [Downloadable!]
  12. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-35, November. [Downloadable!] (restricted)
  13. 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 637-54, May-June. [Downloadable!] (restricted)
  14. Lawrence H. Summers, 2000. "International Financial Crises: Causes, Prevention, and Cures," American Economic Review, American Economic Association, vol. 90(2), pages 1-16, May. [Downloadable!] (restricted)
  15. Thomas Ho & Hans Stoll, . "Optimal Dealer Pricing Under Transactions and Return Uncertainty," Rodney L. White Center for Financial Research Working Papers 27-79, Wharton School Rodney L. White Center for Financial Research.
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