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Beyond Arbitrage: "Good-Deal" Asset Price Bounds in Incomplete Markets

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  • JOHN H. COCHRANE
  • JESÚS SAÁ-REQUEJO

Abstract

It is often useful to price assets and other random payoffs by reference to other observed prices rather than construct full-fledged economic asset pricing models. This approach breaks down if one cannot find a perfect replicating portfolio. We impose weak economic restrictions to derive usefully tight bounds on asset prices in this situation. The bounds basically rule out high Sharpe ratios - `good deals' - as well as arbitrage opportunities. We present the method of calculation, we extend it to a multiperiod context by finding a recursive solution, and we apply it to option pricing examples including the Black-Scholes setup with infrequent trading, and a model with stochastic stock volatility and a varying riskfree rate.

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Bibliographic Info

Paper provided by Center for Research in Security Prices, Graduate School of Business, University of Chicago in its series CRSP working papers with number 430.

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Date of creation: Jan 1998
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Handle: RePEc:wop:chispw:430

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Cited by:
  1. Jan Voelzke, 2014. "Weakening the Gain-Loss-Ratio measure to make it stronger," CQE Working Papers 3114, Center for Quantitative Economics (CQE), University of Muenster.
  2. David S. Bates, 1999. "Financial Markets' Assessment of EMU," NBER Working Papers 6874, National Bureau of Economic Research, Inc.
  3. HENROTTE, Philippe, 2002. "Pricing kernels and dynamic portfolios," Les Cahiers de Recherche 768, HEC Paris.
  4. Carmona, Julio & León, Ángel & Vaello-Sebastià, Antoni, 2012. "Executive Stock Options and Time Diversification," QM&ET Working Papers 12-16, Universidad de Alicante, Departamento de Métodos Cuantitativos y Teoría Económica.
  5. Morten Mosegaard Christensen & Eckhard Platen, 2007. "Sharpe Ratio Maximization And Expected Utility When Asset Prices Have Jumps," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 10(08), pages 1339-1364.
  6. Pierluigi Balduzzi & Cesare Robotti, 2001. "Minimum-variance kernels, economic risk premia, and tests of multi-beta models," Working Paper 2001-24, Federal Reserve Bank of Atlanta.
  7. Carmona, Julio & León, Angel & Vaello-Sebastià, Antoni, 2011. "Pricing executive stock options under employment shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 35(1), pages 97-114, January.
  8. Nicolae Garleanu & Lasse Heje Pedersen & Allen M. Poteshman, 2009. "Demand-Based Option Pricing," Review of Financial Studies, Society for Financial Studies, vol. 22(10), pages 4259-4299, October.
  9. Kerkhof, F.L.J. & Melenberg, B. & Schumacher, J.M., 2002. "Model Risk and Regulatory Capital," Discussion Paper 2002-27, Tilburg University, Center for Economic Research.
  10. Matos, Joao Amaro de & Lacerda, Ana, 2004. "Dry Markets and Superreplication Bounds of American Derivatives," FEUNL Working Paper Series wp461, Universidade Nova de Lisboa, Faculdade de Economia.
  11. L. Carassus & E. Temam, 2014. "Pricing and hedging basis risk under no good deal assumption," Annals of Finance, Springer, vol. 10(1), pages 127-170, February.
  12. João Amaro de Matos & Paula Antão, 2001. "Super-replicating Bounds on European Option Prices when the Underlying Asset is Illiquid," Economics Bulletin, AccessEcon, vol. 7(1), pages 1-7.
  13. Sara Biagini & Mustafa Pinar, 2012. "The best gain-loss ratio is a poor performance measure," Papers 1209.6439, arXiv.org, revised Dec 2012.
  14. Björk, Tomas & Slinko, Irina, 2004. "Towards a General Theory of Good Deal Bounds," Working Paper Series in Economics and Finance 595, Stockholm School of Economics.
  15. Peter Ryan, 2000. "Tighter Option Bounds from Multiple Exercise Prices," Review of Derivatives Research, Springer, vol. 4(2), pages 155-188, May.
  16. Alfredo Ibáñez, 2005. "Option-Pricing in Incomplete Markets: The Hedging Portfolio plus a Risk Premium-Based Recursive Approach," Computing in Economics and Finance 2005 216, Society for Computational Economics.
  17. Matos, Joao Amaro de & Lacerda, Ana, 2006. "Dry Markets and Statistical Arbitrage Bounds for European Derivatives," FEUNL Working Paper Series wp479, Universidade Nova de Lisboa, Faculdade de Economia.

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