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A Parsimonious Model of Subjective Life Expectancy

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Author Info
Ludwig, Alexander () (Mannheim Research Institute for the Economics of Aging (MEA) and Sonderforschungsbereich 504)
Zimper, Alexander () (Sonderforschungsbereich 504)

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Abstract

This paper develops a theoretical model for the formation of subjective beliefs on individual survival expectations. Data from the Health and Retirement Study (HRS) indicate that, on average, young respondents underestimate their true survival probability whereas old respondents overestimate their survival probability. Such subjective beliefs violate the rational expectations paradigm and are also not in line with the predictions of the rational Bayesian learning paradigm. We therefore introduce a model of Bayesian learning which combines rational learning with the possibility that the interpretation of new information is prone to psychological attitudes. We estimate the parameters of our theoretical model by pooling the HRS data. Despite a parsimonious parametrization we find that our model results in a remarkable fit to the average subjective beliefs expressed in the data.

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Publisher Info
Paper provided by Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim in its series Sonderforschungsbereich 504 Publications with number 07-65.

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Length: 33 pages
Date of creation: 07 Nov 2007
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Handle: RePEc:xrs:sfbmaa:07-65

Note: We thank Axel Börsch-Supan, Andrew Caplin, Mike Hurd, Jürgen Maurer, Susan Rohwedder,
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  2. Chateauneuf, Alain & Eichberger, Jürgen & Grant, Simon, 2003. "Choice under Uncertainty with the Best and Worst in Mind: Neo-additive Capacities," Sonderforschungsbereich 504 Publications 03-10, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
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  3. Wakker, Peter P, 2001. "Testing and Characterizing Properties of Nonadditive Measures through Violations of the Sure-Thing Principle," Econometrica, Econometric Society, vol. 69(4), pages 1039-59, July.
  4. V. Kerry Smith & Donald H. Taylor Jr. & Frank A. Sloan, 2001. "Longevity Expectations and Death: Can People Predict Their Own Demise?," American Economic Review, American Economic Association, vol. 91(4), pages 1126-1134, September. [Downloadable!] (restricted)
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  5. Li Gan & Michael Hurd & Daniel McFadden, 2003. "Individual Subjective Survival Curves," NBER Working Papers 9480, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  6. Viscusi, W Kip, 1991. "Age Variations in Risk Perceptions and Smoking Decisions," The Review of Economics and Statistics, MIT Press, vol. 73(4), pages 577-88, November. [Downloadable!] (restricted)
  7. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May. [Downloadable!] (restricted)
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  11. Marciano Siniscalchi, 2001. "Bayesian Updating for General Maxmin Expected Utility Preferences," Discussion Papers 1366, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  12. Epstein, Larry G, 1999. "A Definition of Uncertainty Aversion," Review of Economic Studies, Blackwell Publishing, vol. 66(3), pages 579-608, July. [Downloadable!] (restricted)
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  14. Eichberger, J. & Kelsey, D., 1996. "E-Capacities and the Ellsberg Paradox," Discussion Papers 96-13, Department of Economics, University of Birmingham.
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  16. V. Kerry Smith & Donald H. Taylor & Frank A. Sloan & F. Reed Johnson & William H. Desvousges, 2001. "Do Smokers Respond To Health Shocks?," The Review of Economics and Statistics, MIT Press, vol. 83(4), pages 675-687, November. [Downloadable!] (restricted)
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  17. Marciano Siniscalchi, 2006. "Dynamic Choice Under Ambiguity," Discussion Papers 1430, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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