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Model Uncertainty and Liquidity

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Author Info
Bryan Routledge
Stanley Zin

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Abstract

Extreme market outcomes are often followed by a lack of liquidity and a lack of trade. This market collapse seems particularly acute for derivative markets where traders rely heavily on a specific empirical model. Asset pricing and trading, in these cases, are intrinsically model dependent. Moreover, observed behavior of traders and institutions suggests that attitudes toward ``model uncertainty'' may be qualitatively different than Savage rationality would suggest. For example, a large emphasis is placed on ``worst-case scenarios'' through the pervasive use of ``stress testing'' and ``value-at-risk'' calculations. In this paper we use Knightian uncertainty to describe model uncertainty, and use Choquet-expected-utility preferences to characterize investors aversion to this uncertainty. We show that an increase in model uncertainty can lead to a reduction in liquidity as measured by the bid-ask spread set by a monopoly market maker. In addition, the non-standard nature of hedging model uncertainty can lead to broader portfolio adjustment effects like ``flight to quality'' and ``contagion.''

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Paper provided by Carnegie Mellon University, Tepper School of Business in its series GSIA Working Papers with number 2001-E17.

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Handle: RePEc:cmu:gsiawp:-1015907483

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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)
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  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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