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Decision-making under uncertainty - A field study of cumulative prospect theory

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Author Info

  • Gurevich, Gregory
  • Kliger, Doron
  • Levy, Ori

Abstract

The presented research tests cumulative prospect theory (CPT, [Kahneman, D., Tversky, A., 1979. Prospect theory: An analysis of decision under risk. Econometrica 47, 263-291; Tversky, A., Kahneman, D., 1981. The framing of decisions and the psychology of choice. Science 211, 453-480]) in the financial market, using US stock option data. Option prices possess information about actual investors' preferences in such a way that an exploitation of conventional option analysis, along with theoretical relationships, makes it possible to elicit investor preferences. The option data in this study serve for estimating the two essential elements of the CPT, namely, the value function and the probability weighting function. The main part of the work focuses on the functions' simultaneous estimation under CPT original parametric specification. The shape of the estimated functions is found to be in line with theory. Comparing to results of laboratory experiments, the estimated functions are closer to linearity and loss aversion is less pronounced.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Banking & Finance.

Volume (Year): 33 (2009)
Issue (Month): 7 (July)
Pages: 1221-1229

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Handle: RePEc:eee:jbfina:v:33:y:2009:i:7:p:1221-1229

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Web page: http://www.elsevier.com/locate/jbf

Related research

Keywords: Cumulative prospect theory Value function Probability weighting function Loss aversion;

References

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  1. Kliger, Doron & Kudryavtsev, Andrey, 2008. "Reference point formation by market investors," Journal of Banking & Finance, Elsevier, vol. 32(9), pages 1782-1794, September.
  2. Klaus Abbink & Bettina Rockenbach, 2005. "Option Pricing by Students and Professional Traders: A Behavioural Investigation," Discussion Papers 2005-12, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  3. Jackwerth, Jens Carsten, 2000. "Recovering Risk Aversion from Option Prices and Realized Returns," Review of Financial Studies, Society for Financial Studies, vol. 13(2), pages 433-51.
  4. Ait-Sahalia, Yacine & Lo, Andrew W., 2000. "Nonparametric risk management and implied risk aversion," Journal of Econometrics, Elsevier, vol. 94(1-2), pages 9-51.
  5. George Wu & Richard Gonzalez, 1996. "Curvature of the Probability Weighting Function," Management Science, INFORMS, vol. 42(12), pages 1676-1690, December.
  6. Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-91, March.
  7. Martijn Cremers & Joost Driessen & Pascal Maenhout & David Weinbaum, 2004. "Individual Stock-Option Prices and Credit Spreads," Yale School of Management Working Papers amz2391, Yale School of Management, revised 01 Jan 2005.
  8. Tversky, Amos & Kahneman, Daniel, 1992. " Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
  9. Mohammed Abdellaoui, 2000. "Parameter-Free Elicitation of Utility and Probability Weighting Functions," Management Science, INFORMS, vol. 46(11), pages 1497-1512, November.
  10. Venezia, Itzhak & Shapira, Zur, 2007. "On the behavioral differences between professional and amateur investors after the weekend," Journal of Banking & Finance, Elsevier, vol. 31(5), pages 1417-1426, May.
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  12. Leland, Hayne E, 1980. " Who Should Buy Portfolio Insurance?," Journal of Finance, American Finance Association, vol. 35(2), pages 581-94, May.
  13. Edwards, Kimberley D., 1996. "Prospect theory: A literature review," International Review of Financial Analysis, Elsevier, vol. 5(1), pages 19-38.
  14. Cox, John C. & Ross, Stephen A., 1976. "The valuation of options for alternative stochastic processes," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 145-166.
  15. Han Bleichrodt & Jose Luis Pinto, 2000. "A Parameter-Free Elicitation of the Probability Weighting Function in Medical Decision Analysis," Management Science, INFORMS, vol. 46(11), pages 1485-1496, November.
  16. Gurdip Bakshi & Nikunj Kapadia & Dilip Madan, 2003. "Stock Return Characteristics, Skew Laws, and the Differential Pricing of Individual Equity Options," Review of Financial Studies, Society for Financial Studies, vol. 16(1), pages 101-143.
  17. Constantinides, George M, 1982. "Intertemporal Asset Pricing with Heterogeneous Consumers and without Demand Aggregation," The Journal of Business, University of Chicago Press, vol. 55(2), pages 253-67, April.
  18. Hibbert, Ann Marie & Daigler, Robert T. & Dupoyet, Brice, 2008. "A behavioral explanation for the negative asymmetric return-volatility relation," Journal of Banking & Finance, Elsevier, vol. 32(10), pages 2254-2266, October.
  19. Breeden, Douglas T & Litzenberger, Robert H, 1978. "Prices of State-contingent Claims Implicit in Option Prices," The Journal of Business, University of Chicago Press, vol. 51(4), pages 621-51, October.
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Citations

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Cited by:
  1. Daniel Cavagnaro & Mark Pitt & Richard Gonzalez & Jay Myung, 2013. "Discriminating among probability weighting functions using adaptive design optimization," Journal of Risk and Uncertainty, Springer, vol. 47(3), pages 255-289, December.
  2. Fortin, Ines & Hlouskova, Jaroslava, 2011. "Optimal asset allocation under linear loss aversion," Journal of Banking & Finance, Elsevier, vol. 35(11), pages 2974-2990, November.
  3. Dichtl, Hubert & Drobetz, Wolfgang, 2011. "Portfolio insurance and prospect theory investors: Popularity and optimal design of capital protected financial products," Journal of Banking & Finance, Elsevier, vol. 35(7), pages 1683-1697, July.
  4. Arisoy, Yakup Eser, 2010. "Volatility risk and the value premium: Evidence from the French stock market," Journal of Banking & Finance, Elsevier, vol. 34(5), pages 975-983, May.
  5. Mohammed Abdellaoui & Han Bleichrodt & Hilda Kammoun, 2013. "Do financial professionals behave according to prospect theory? An experimental study," Theory and Decision, Springer, vol. 74(3), pages 411-429, March.
  6. Hwang, Soosung & Satchell, Steve E., 2010. "How loss averse are investors in financial markets?," Journal of Banking & Finance, Elsevier, vol. 34(10), pages 2425-2438, October.

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