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Dynamic portfolio choice and asset pricing with narrow framing and probability weighting

  • De Giorgi, Enrico G.
  • Legg, Shane

This paper shows that the framework proposed by Barberis and Huang (2009) to incorporate narrow framing and loss aversion into dynamic models of portfolio choice and asset pricing can be extended to also account for probability weighting and for a value function that is convex on losses and concave on gains. We show that the addition of probability weighting and a convex–concave value function reinforces previous applications of narrow framing and cumulative prospect theory to understanding the stock market non-participation puzzle and the equity premium puzzle. Moreover, we show that a convex–concave value function generates new wealth effects that are consistent with empirical observations on stock market participation.

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Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 36 (2012)
Issue (Month): 7 ()
Pages: 951-972

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Handle: RePEc:eee:dyncon:v:36:y:2012:i:7:p:951-972
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  1. Bryan R. Routledge & Stanley E. Zin, 2003. "Generalized Disappointment Aversion and Asset Prices," NBER Working Papers 10107, National Bureau of Economic Research, Inc.
  2. David Backus & Bryan Routledge & Stanley Zin, 2004. "Exotic Preferences for Macroeconomists," NBER Working Papers 10597, National Bureau of Economic Research, Inc.
  3. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, June.
  4. Mankiw, N. Gregory & Zeldes, Stephen P., 1991. "The consumption of stockholders and nonstockholders," Journal of Financial Economics, Elsevier, vol. 29(1), pages 97-112, March.
  5. L. Epstein & S. Zin, 2010. "First order risk aversion and the equity premium puzzle," Levine's Working Paper Archive 1400, David K. Levine.
  6. Amos Tversky & Daniel Kahneman, 1979. "Prospect Theory: An Analysis of Decision under Risk," Levine's Working Paper Archive 7656, David K. Levine.
  7. Arjan B. Berkelaar & Roy Kouwenberg & Thierry Post, 2004. "Optimal Portfolio Choice under Loss Aversion," The Review of Economics and Statistics, MIT Press, vol. 86(4), pages 973-987, November.
  8. Rust, John, 1996. "Numerical dynamic programming in economics," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 14, pages 619-729 Elsevier.
  9. Yacine Ait-Sahalia & Michael W. Brandt, 2001. "Variable Selection for Portfolio Choice," NBER Working Papers 8127, National Bureau of Economic Research, Inc.
  10. Nikolay Nenovsky & S. Statev, 2006. "Introduction," Post-Print halshs-00260898, HAL.
  11. Andrew Ang & Geert Bekaert & Jun Liu, 2000. "Why Stocks May Disappoint," NBER Working Papers 7783, National Bureau of Economic Research, Inc.
  12. Harrison Hong & Jeffrey D. Kubik & Jeremy C. Stein, 2001. "Social Interaction and Stock-Market Participation," NBER Working Papers 8358, National Bureau of Economic Research, Inc.
  13. Enrico Giorgi & Thorsten Hens & János Mayer, 2007. "Computational aspects of prospect theory with asset pricing applications," Computational Economics, Society for Computational Economics, vol. 29(3), pages 267-281, May.
  14. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
  15. 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.
  16. Enrico De Giorgi & Thorsten Hens & Marc Oliver Rieger, 2007. "Financial Market Equilibria With Cumulative Prospect Therory," Swiss Finance Institute Research Paper Series 07-21, Swiss Finance Institute, revised Aug 2007.
  17. Haim Levy, 2004. "Prospect Theory and Mean-Variance Analysis," Review of Financial Studies, Society for Financial Studies, vol. 17(4), pages 1015-1041.
  18. Nicholas Barberis & Ming Huang & Richard H. Thaler, 2006. "Individual Preferences, Monetary Gambles, and Stock Market Participation: A Case for Narrow Framing," American Economic Review, American Economic Association, vol. 96(4), pages 1069-1090, September.
  19. Hanqing Jin & Xun Yu Zhou, 2008. "Behavioral Portfolio Selection In Continuous Time," Mathematical Finance, Wiley Blackwell, vol. 18(3), pages 385-426.
  20. Nicholas Barberis & Ming Huang, 2007. "Stocks as Lotteries: The Implications of Probability Weighting for Security Prices," NBER Working Papers 12936, National Bureau of Economic Research, Inc.
  21. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
  22. David A. Chapman & Valery Polkovnichenko, 2009. "First-Order Risk Aversion, Heterogeneity, and Asset Market Outcomes," Journal of Finance, American Finance Association, vol. 64(4), pages 1863-1887, 08.
  23. Nicholas Barberis & Ming Huang & Tano Santos, 2001. "Prospect Theory and Asset Prices," The Quarterly Journal of Economics, Oxford University Press, vol. 116(1), pages 1-53.
  24. Barberis, Nicholas & Huang, Ming, 2009. "Preferences with frames: A new utility specification that allows for the framing of risks," Journal of Economic Dynamics and Control, Elsevier, vol. 33(8), pages 1555-1576, August.
  25. Xue Dong He & Xun Yu Zhou, 2011. "Portfolio Choice Under Cumulative Prospect Theory: An Analytical Treatment," Management Science, INFORMS, vol. 57(2), pages 315-331, February.
  26. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-87, September.
  27. Wachter, Jessica A., 2002. "Portfolio and Consumption Decisions under Mean-Reverting Returns: An Exact Solution for Complete Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(01), pages 63-91, March.
  28. repec:sae:ecolab:v:16:y:2006:i:2:p:1-2 is not listed on IDEAS
  29. Mohammed Abdellaoui, 2000. "Parameter-Free Elicitation of Utility and Probability Weighting Functions," Management Science, INFORMS, vol. 46(11), pages 1497-1512, November.
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