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

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  • De Giorgi, Enrico G.
  • Legg, Shane
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    Abstract

    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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    File URL: http://www.sciencedirect.com/science/article/pii/S0165188912000255
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    Bibliographic Info

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

    Related research

    Keywords: Narrow framing; Cumulative prospect theory; Probability weighting function; Negative skewness; Dynamic programming;

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    References

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    1. 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.
    2. Yacine Aït-Sahalia, 2001. "Variable Selection for Portfolio Choice," Journal of Finance, American Finance Association, vol. 56(4), pages 1297-1351, 08.
    3. N. Gregory Mankiw & Stephen P. Zeldes, 1990. "The Consumption of Stockholders and Non-Stockholders," NBER Working Papers 3402, National Bureau of Economic Research, Inc.
    4. Nicholas Barberis & Ming Huang, 2008. "Stocks as Lotteries: The Implications of Probability Weighting for Security Prices," American Economic Review, American Economic Association, vol. 98(5), pages 2066-2100, December.
    5. Mohammed Abdellaoui, 2000. "Parameter-Free Elicitation of Utility and Probability Weighting Functions," Management Science, INFORMS, vol. 46(11), pages 1497-1512, November.
    6. 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.
    7. Epstein, Larry G. & Zin, Stanley E., 1990. "'First-order' risk aversion and the equity premium puzzle," Journal of Monetary Economics, Elsevier, vol. 26(3), pages 387-407, December.
    8. Berkelaar, A.B. & Kouwenberg, R.R.P., 2000. "Optimal portfolio choice under loss aversion," Econometric Institute Research Papers EI 2000-08/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    9. Bryan R. Routledge & Stanley E. Zin, 2003. "Generalized Disappointment Aversion and Asset Prices," NBER Working Papers 10107, National Bureau of Economic Research, Inc.
    10. 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.
    11. 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.
    12. David K. Backus & Bryan R. Routledge & Stanley E. Zin, 2005. "Exotic Preferences for Macroeconomists," NBER Chapters, in: NBER Macroeconomics Annual 2004, Volume 19, pages 319-414 National Bureau of Economic Research, Inc.
    13. Ang, Andrew & Bekaert, Geert & Liu, Jun, 2005. "Why stocks may disappoint," Journal of Financial Economics, Elsevier, vol. 76(3), pages 471-508, June.
    14. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-87, September.
    15. Amos Tversky & Daniel Kahneman, 1979. "Prospect Theory: An Analysis of Decision under Risk," Levine's Working Paper Archive 7656, David K. Levine.
    16. 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.
    17. Harrison Hong & Jeffrey D. Kubik & Jeremy C. Stein, 2004. "Social Interaction and Stock-Market Participation," Journal of Finance, American Finance Association, vol. 59(1), pages 137-163, 02.
    18. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, December.
    19. 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.
    20. Nicholas Barberis & Ming Huang & Tano Santos, 2001. "Prospect Theory And Asset Prices," The Quarterly Journal of Economics, MIT Press, vol. 116(1), pages 1-53, February.
    21. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    22. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    23. De Giorgi, Enrico & Hens, Thorsten & Rieger, Marc Oliver, 2010. "Financial market equilibria with cumulative prospect theory," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 633-651, September.
    24. Haim Levy, 2004. "Prospect Theory and Mean-Variance Analysis," Review of Financial Studies, Society for Financial Studies, vol. 17(4), pages 1015-1041.
    25. Hanqing Jin & Xun Yu Zhou, 2008. "Behavioral Portfolio Selection In Continuous Time," Mathematical Finance, Wiley Blackwell, vol. 18(3), pages 385-426.
    26. repec:sae:ecolab:v:16:y:2006:i:2:p:1-2 is not listed on IDEAS
    27. 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.
    28. 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.
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    Cited by:
    1. Thomas Epper & Helga Fehr-Duda, 2012. "The missing link: Unifying risk taking and time discounting," ECON - Working Papers 096, Department of Economics - University of Zurich.
    2. Nicholas C. Barberis, 2013. "Thirty Years of Prospect Theory in Economics: A Review and Assessment," Journal of Economic Perspectives, American Economic Association, vol. 27(1), pages 173-96, Winter.
    3. Nicholas C. Barberis, 2012. "Thirty Years of Prospect Theory in Economics: A Review and Assessment," NBER Working Papers 18621, National Bureau of Economic Research, Inc.

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