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Computational aspects of prospect theory with asset pricing applications

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Author Info
Enrico Giorgi ()
Thorsten Hens ()
János Mayer ()

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Abstract

We develop an algorithm to compute asset allocations for Kahneman and Tversky’s (Econometrica, 47(2), 263–291, 1979) prospect theory. An application to benchmark data as in Fama and French (Journal of Financial Economics, 47(2), 427–465, 1992) shows that the equity premium puzzle is resolved for parameter values similar to those found in the laboratory experiments of Kahneman and Tversky (Econometrica, 47(2), 263–291, 1979). While previous studies like Benartzi and Thaler (The Quarterly Journal of Economics, 110(1), 73–92, 1995), Barberis, Huang and Santos (The Quarterly Journal of Economics, 116(1), 1–53, 2001), and Grüne and Semmler (Asset prices and loss aversion, Germany, Mimeo Bielefeld University, 2005) focussed on dynamic aspects of asset pricing but only used loss aversion to explain the equity premium puzzle our paper explains the unconditional moments of asset pricing by a static two-period optimization problem. However, we incorporate asymmetric risk aversion. Our approach allows reducing the degree of loss aversion from 2.353 to 2.25, which is the value found by Tversky and Kahneman (Journal of Risk and Uncertainty, 5, 297–323, 1992) while increasing the risk aversion from 1 to 0.894, which is a slightly higher value than the 0.88 found by Tversky and Kahneman (Journal of Risk and Uncertainty, 5, 297–323, 1992). The equivalence of these parameter settings is robust to incorporating the size and the value portfolios of Fama and French (Journal of Finance, 47(2), 427–465, 1992). However, the optimal prospect theory portfolios found on this larger set of assets differ drastically from the optimal mean-variance portfolio. Copyright Springer Science+Business Media, LLC 2007

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Publisher Info
Article provided by Springer in its journal Computational Economics.

Volume (Year): 29 (2007)
Issue (Month): 3 (May)
Pages: 267-281
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Handle: RePEc:kap:compec:v:29:y:2007:i:3:p:267-281

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Related research
Keywords: Prospect theory; Asset pricing; Equity premium puzzle; Global optimization; Non–smooth problems; Numerical algorithms;

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. George M. Constantinides & John B. Donaldson & Rajnish Mehra, 2005. "Junior is Rich: Bequests as Consumption," NBER Working Papers 11122, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  2. Hansen, Lars Peter & Jagannathan, Ravi, 1991. "Implications of Security Market Data for Models of Dynamic Economies," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 225-62, April. [Downloadable!] (restricted)
    Other versions:
  3. Fama, Eugene F & French, Kenneth R, 1992. " The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-65, June. [Downloadable!] (restricted)
  4. Willi Semmler & Lars Grüne, 2005. "Asset Pricing and Loss Aversion," Computing in Economics and Finance 2005 199, Society for Computational Economics. [Downloadable!]
  5. Rubinstein, R. Y., 1982. "Generating random vectors uniformly distributed inside and on the surface of different regions," European Journal of Operational Research, Elsevier, vol. 10(2), pages 205-209, June. [Downloadable!] (restricted)
  6. Monika Piazzesi & Martin Schneider & Selale Tuzel, 2004. "Housing, Consumption and Asset Pricing," 2004 Meeting Papers 357c, Society for Economic Dynamics.
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  7. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March. [Downloadable!] (restricted)
  8. Sydney Ludvigson & Martin Lettau, 1999. "Consumption, aggregate wealth and expected stock returns," Staff Reports 77, Federal Reserve Bank of New York. [Downloadable!]
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  9. Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-91, March. [Downloadable!] (restricted)
  10. Benartzi, Shlomo & Thaler, Richard H, 1995. "Myopic Loss Aversion and the Equity Premium Puzzle," The Quarterly Journal of Economics, MIT Press, vol. 110(1), pages 73-92, February. [Downloadable!] (restricted)
    Other versions:
  11. Lars Grune & Willi Semmler, 2003. "Solving Asset Pricing Models with Stochastic Dynamic Programming," Computing in Economics and Finance 2003 54, Society for Computational Economics.
  12. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November. [Downloadable!] (restricted)
  13. 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. [Downloadable!] (restricted)
  14. Constantinides, George M, 1990. "Habit Formation: A Resolution of the Equity Premium Puzzle," Journal of Political Economy, University of Chicago Press, vol. 98(3), pages 519-43, June. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Enrico G. De Giorgi & Shane Legg, 2009. "Portfolio Selection with Narrow Framing: Probability Weighting Matters," University of St. Gallen Department of Economics working paper series 2009 2009-12, Department of Economics, University of St. Gallen. [Downloadable!]
  2. Enrico Giorgi & Thorsten Hens, 2006. "Making prospect theory fit for finance," Financial Markets and Portfolio Management, Springer, vol. 20(3), pages 339-360, September. [Downloadable!] (restricted)
    Other versions:
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