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Option Pricing in an Imperfect World

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  • Gianluca Cassese

Abstract

In a model with no given probability measure, we consider asset pricing in the presence of frictions and other imperfections and characterize the property of coherent pricing, a notion related to (but much weaker than) the no arbitrage property. We show that prices are coherent if and only if the set of pricing measures is non empty, i.e. if pricing by expectation is possible. We then obtain a decomposition of coherent prices highlighting the role of bubbles. eventually we show that under very weak conditions the coherent pricing of options allows for a very clear representation from which it is possible, as in the original work of Breeden and Litzenberger, to extract the implied probability. Eventually we test this conclusion empirically via a new non parametric approach.

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Paper provided by arXiv.org in its series Papers with number 1406.0412.

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Date of creation: Jun 2014
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Handle: RePEc:arx:papers:1406.0412

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  1. P. Gagliardini & C. Gourieroux & E. Renault, 2011. "Efficient Derivative Pricing by the Extended Method of Moments," Econometrica, Econometric Society, Econometric Society, vol. 79(4), pages 1181-1232, 07.
  2. Lars Peter Hansen & Ravi Jagannathan, 1990. "Implications of security market data for models of dynamic economies," Discussion Paper / Institute for Empirical Macroeconomics, Federal Reserve Bank of Minneapolis 29, Federal Reserve Bank of Minneapolis.
  3. Hasbrouck, Joel, 2002. "Stalking the "efficient price" in market microstructure specifications: an overview," Journal of Financial Markets, Elsevier, Elsevier, vol. 5(3), pages 329-339, July.
  4. Owen A. Lamont & Richard H. Thaler, . "Can the Market Add and Subtract? Mispricing in Tech Stock Carve-outs," CRSP working papers, Center for Research in Security Prices, Graduate School of Business, University of Chicago 528, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
  5. Roux, Alet, 2011. "The fundamental theorem of asset pricing in the presence of bid-ask and interest rate spreads," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 159-163, March.
  6. Yacine Ait-Sahalia & Andrew W. Lo, 1995. "Nonparametric Estimation of State-Price Densities Implicit in Financial Asset Prices," NBER Working Papers 5351, National Bureau of Economic Research, Inc.
  7. Yacine Ait-Sahalia & Jefferson Duarte, 2002. "Nonparametric Option Pricing under Shape Restrictions," NBER Working Papers 8944, National Bureau of Economic Research, Inc.
  8. Chateauneuf, A. & Kast, R. & Lapied, A., 1992. "Choquet Pricing for Financial Markets with Frictions," G.R.E.Q.A.M., Universite Aix-Marseille III 92a11, Universite Aix-Marseille III.
  9. Loewenstein, Mark & Willard, Gregory A., 2000. "Rational Equilibrium Asset-Pricing Bubbles in Continuous Trading Models," Journal of Economic Theory, Elsevier, Elsevier, vol. 91(1), pages 17-58, March.
  10. Damir Filipović, 2008. "Optimal Numeraires For Risk Measures," Mathematical Finance, Wiley Blackwell, Wiley Blackwell, vol. 18(2), pages 333-336.
  11. Amihud, Yakov & Mendelson, Haim, 1986. "Asset pricing and the bid-ask spread," Journal of Financial Economics, Elsevier, Elsevier, vol. 17(2), pages 223-249, December.
  12. Luttmer, Erzo G J, 1996. "Asset Pricing in Economies with Frictions," Econometrica, Econometric Society, Econometric Society, vol. 64(6), pages 1439-67, November.
  13. Hugonnier, Julien, 2012. "Rational asset pricing bubbles and portfolio constraints," Journal of Economic Theory, Elsevier, Elsevier, vol. 147(6), pages 2260-2302.
  14. repec:fth:inseep:9513 is not listed on IDEAS
  15. Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci, 2012. "Put-Call Parity and Market Frictions," Working Papers 447, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  16. Dermody, Jaime Cuevas & Prisman, Eliezer Z., 1993. "No Arbitrage and Valuation in Markets with Realistic Transaction Costs," Journal of Financial and Quantitative Analysis, Cambridge University Press, Cambridge University Press, vol. 28(01), pages 65-80, March.
  17. Heckman, James J, 1979. "Sample Selection Bias as a Specification Error," Econometrica, Econometric Society, Econometric Society, vol. 47(1), pages 153-61, January.
  18. Amos Tversky & Daniel Kahneman, 1979. "Prospect Theory: An Analysis of Decision under Risk," Levine's Working Paper Archive 7656, David K. Levine.
  19. Bouchard, Bruno, 2006. "No-arbitrage in discrete-time markets with proportional transaction costs and general information structure," Economics Papers from University Paris Dauphine, Paris Dauphine University 123456789/1850, Paris Dauphine University.
  20. Owen A. Lamont & Richard H. Thaler, 2003. "Anomalies: The Law of One Price in Financial Markets," Journal of Economic Perspectives, American Economic Association, American Economic Association, vol. 17(4), pages 191-202, Fall.
  21. Enno MAMMEN & C. THOMAS-AGNAN, 1996. "Smoothing Splines And Shape Restrictions," SFB 373 Discussion Papers 1996,87, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  22. Kallal, Hedi & Jouini, Elyès, 1995. "Martingales and arbitrage in securities markets with transaction costs," Economics Papers from University Paris Dauphine, Paris Dauphine University 123456789/5630, Paris Dauphine University.
  23. Gianluca Cassese, 2008. "Asset Pricing With No Exogenous Probability Measure," Mathematical Finance, Wiley Blackwell, Wiley Blackwell, vol. 18(1), pages 23-54.
  24. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, Elsevier, vol. 20(3), pages 381-408, June.
  25. Kreps, David M., 1981. "Arbitrage and equilibrium in economies with infinitely many commodities," Journal of Mathematical Economics, Elsevier, vol. 8(1), pages 15-35, March.
  26. Bollen, Nicolas P. B. & Smith, Tom & Whaley, Robert E., 2004. "Modeling the bid/ask spread: measuring the inventory-holding premium," Journal of Financial Economics, Elsevier, Elsevier, vol. 72(1), pages 97-141, April.
  27. Banz, Rolf W & Miller, Merton H, 1978. "Prices for State-contingent Claims: Some Estimates and Applications," The Journal of Business, University of Chicago Press, University of Chicago Press, vol. 51(4), pages 653-72, October.
  28. Geman, Hélyette & Carr, Peter & Madan, Dilip B. & Yor, Marc, 2003. "Stochastic Volatility for Levy Processes," Economics Papers from University Paris Dauphine, Paris Dauphine University 123456789/1392, Paris Dauphine University.
  29. Jouini Elyes & Kallal Hedi, 1995. "Martingales and Arbitrage in Securities Markets with Transaction Costs," Journal of Economic Theory, Elsevier, Elsevier, vol. 66(1), pages 178-197, June.
  30. Walter Schachermayer, 2004. "The Fundamental Theorem of Asset Pricing under Proportional Transaction Costs in Finite Discrete Time," Mathematical Finance, Wiley Blackwell, Wiley Blackwell, vol. 14(1), pages 19-48.
  31. Carr, Peter & Madan, Dilip B., 2005. "A note on sufficient conditions for no arbitrage," Finance Research Letters, Elsevier, Elsevier, vol. 2(3), pages 125-130, September.
  32. Frank Riedel, 2011. "Finance without Probabilistic Prior Assumptions," Working Papers 450, Bielefeld University, Center for Mathematical Economics.
  33. Bernard Bensaid & Jean-Philippe Lesne & Henri Pagès & José Scheinkman, 1992. "Derivative Asset Pricing With Transaction Costs," Mathematical Finance, Wiley Blackwell, Wiley Blackwell, vol. 2(2), pages 63-86.
  34. Napp, C., 2003. "The Dalang-Morton-Willinger theorem under cone constraints," Journal of Mathematical Economics, Elsevier, vol. 39(1-2), pages 111-126, February.
  35. E. Mammen, 1999. "Smoothing Splines and Shape Restrictions," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 26(2), pages 239-252.
  36. Jackwerth, Jens Carsten & Rubinstein, Mark, 1996. " Recovering Probability Distributions from Option Prices," Journal of Finance, American Finance Association, American Finance Association, vol. 51(5), pages 1611-32, December.
  37. Bruno Bouchard, 2006. "No-arbitrage in Discrete-time Markets with Proportional Transaction Costs and General Information structure," Finance and Stochastics, Springer, Springer, vol. 10(2), pages 276-297, April.
  38. Adonis Yatchew, 1998. "Nonparametric Regression Techniques in Economics," Journal of Economic Literature, American Economic Association, vol. 36(2), pages 669-721, June.
  39. Huang, Roger D & Stoll, Hans R, 1997. "The Components of the Bid-Ask Spread: A General Approach," Review of Financial Studies, Society for Financial Studies, Society for Financial Studies, vol. 10(4), pages 995-1034.
  40. Hahn, F H, 1971. "Equilibrium with Transaction Costs," Econometrica, Econometric Society, Econometric Society, vol. 39(3), pages 417-39, May.
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