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A Life-Cycle Model with Ambiguous Survival Beliefs

  • Max Groneck
  • Alexander Ludwig
  • Alexander Zimper

On average, "young" people underestimate whereas "old" people overestimate their chances to survive into the future. We adopt a Bayesian learning model of ambiguous survival beliefs which replicates these patterns. The model is embedded within a non-expected utility model of life-cycle consumption and saving. Our analysis shows that agents with ambiguous survival beliefs (i) save less than originally planned, (ii) exhibit undersaving at younger ages, and (iii) hold larger amounts of assets in old age than their rational expectations counterparts who correctly assess their survival probabilities. Our ambiguity-driven model therefore simultaneously accounts for three important empirical findings on household saving behavior.

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Paper provided by University of Cologne, Department of Economics in its series Working Paper Series in Economics with number 63.

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Date of creation: 15 May 2013
Date of revision: 22 Nov 2013
Handle: RePEc:kls:series:0063
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  1. Ted O'Donoghue and Matthew Rabin ., 1997. "Doing It Now or Later," Economics Working Papers 97-253, University of California at Berkeley.
  2. Daniel S. Hamermesh, 1985. "Expectations, Life Expectancy, and Economic Behavior," The Quarterly Journal of Economics, Oxford University Press, vol. 100(2), pages 389-408.
  3. Itzhak Gilboa, 1987. "Expected Utility with Purely Subjective Non-Additive Probabilities," Post-Print hal-00756291, HAL.
  4. Cagetti, Marco, 2003. "Wealth Accumulation over the Life Cycle and Precautionary Savings," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(3), pages 339-53, July.
  5. Robert E. Hall & Charles I. Jones, 2007. "The Value of Life and the Rise in Health Spending," The Quarterly Journal of Economics, Oxford University Press, vol. 122(1), pages 39-72.
  6. Lee M. Lockwood, 2014. "Incidental Bequests: Bequest Motives and the Choice to Self-Insure Late-Life Risks," NBER Working Papers 20745, National Bureau of Economic Research, Inc.
  7. Christopher D. Carroll, 1992. "The Buffer-Stock Theory of Saving: Some Macroeconomic Evidence," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 23(2), pages 61-156.
  8. McFadden, Daniel L. & Bemmaor, Albert C. & Caro, Francis G. & Dominitz, Jeff & Jun, Byung-hill & Lewbel, Arthur & Matzkin, Rosa L. & Molinari, Francesca & Schwarz, Norbert & Willis, Robert J. & Winter, 2005. "Statistical analysis of choice experiments and surveys," Munich Reprints in Economics 19251, University of Munich, Department of Economics.
  9. Gourinchas, P.O. & Parker, J.A., 1997. "Consumption Over the Life Cycle," Working papers 9722, Wisconsin Madison - Social Systems.
  10. Love, David A. & Palumbo, Michael G. & Smith, Paul A., 2009. "The trajectory of wealth in retirement," Journal of Public Economics, Elsevier, vol. 93(1-2), pages 191-208, February.
  11. David Schmeidler, 1989. "Subjective Probability and Expected Utility without Additivity," Levine's Working Paper Archive 7662, David K. Levine.
  12. R. H. Strotz, 1955. "Myopia and Inconsistency in Dynamic Utility Maximization," Review of Economic Studies, Oxford University Press, vol. 23(3), pages 165-180.
  13. Ludwig, Alexander & Zimper, Alexander, 2006. "Investment behavior under ambiguity: The case of pessimistic decision makers," Mathematical Social Sciences, Elsevier, vol. 52(2), pages 111-130, September.
  14. James Andreoni & Charles Sprenger, 2012. "Risk Preferences Are Not Time Preferences," American Economic Review, American Economic Association, vol. 102(7), pages 3357-76, December.
  15. Annamaria Lusardi & Olivia S. Mitchell, 2005. "Financial Literacy and Planning: Implications for Retirement Wellbeing," CeRP Working Papers 46, Center for Research on Pensions and Welfare Policies, Turin (Italy).
  16. Paolo Ghirardato, 2002. "Revisiting Savage in a conditional world," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(1), pages 83-92.
  17. Mohammed Abdellaoui & Aurelien Baillon & Laetitia Placido & Peter P. Wakker, 2011. "The Rich Domain of Uncertainty: Source Functions and Their Experimental Implementation," American Economic Review, American Economic Association, vol. 101(2), pages 695-723, April.
  18. Alexander Ludwig & Thomas Schelkle & Edgar Vogel, 2012. "Demographic Change, Human Capital and Welfare," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(1), pages 94-107, January.
  19. Mariacristina De Nardi & Eric French & John B. Jones, 2010. "Why Do the Elderly Save? The Role of Medical Expenses," Journal of Political Economy, University of Chicago Press, vol. 118(1), pages 39-75, 02.
  20. Horowitz, Joel L., 2001. "The bootstrap and hypothesis tests in econometrics," Journal of Econometrics, Elsevier, vol. 100(1), pages 37-40, January.
  21. Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2004. "Differentiating ambiguity and ambiguity attitude," Journal of Economic Theory, Elsevier, vol. 118(2), pages 133-173, October.
  22. repec:hal:journl:hal-00609214 is not listed on IDEAS
  23. Alain Chateauneuf & Jürgen Eichberger & Simon Grant, 2007. "Choice under uncertainty with the best and worst in mind: neo-additive capacities," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00271279, HAL.
  24. Franco Peracchi & Valeria Perotti, 2010. "Subjective survival probabilities and life tables: Evidence from Europe," EIEF Working Papers Series 1016, Einaudi Institute for Economics and Finance (EIEF), revised Nov 2011.
  25. Horowitz, Joel L., 2001. "The Bootstrap," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 5, chapter 52, pages 3159-3228 Elsevier.
  26. Alexander Ludwig & Alexander Zimper, 2007. "A Parsimonious Model of Subjective Life Expectancy," MEA discussion paper series 07154, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.
  27. Nicky Nicholls & Aylit Romm & Alexander Zimper, 2015. "The impact of statistical learning on violations of the sure-thing principle," Journal of Risk and Uncertainty, Springer, vol. 50(2), pages 97-115, April.
  28. Deaton, Angus, 1992. "Understanding Consumption," OUP Catalogue, Oxford University Press, number 9780198288244, December.
  29. Pischke, Jorn-Steffen, 1995. "Measurement Error and Earnings Dynamics: Some Estimates from the PSID Validation Study," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(3), pages 305-14, July.
  30. Michael D. Hurd & Susann Rohwedder, 2013. "Wealth Dynamics and Active Saving at Older Ages," NBER Chapters, in: Improving the Measurement of Consumer Expenditures, pages 388-413 National Bureau of Economic Research, Inc.
  31. Hurd, Michael D, 1989. "Mortality Risk and Bequests," Econometrica, Econometric Society, vol. 57(4), pages 779-813, July.
  32. Alexander Zimper, 2011. "Do Bayesians learn their way out of ambiguity?," Working Papers 240, Economic Research Southern Africa.
  33. Carter, Lawrence R. & Lee, Ronald D., 1992. "Modeling and forecasting US sex differentials in mortality," International Journal of Forecasting, Elsevier, vol. 8(3), pages 393-411, November.
  34. David I. Laibson & Andrea Repetto & Jeremy Tobacman, 1998. "Self-Control and Saving for Retirement," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 29(1), pages 91-196.
  35. Alexander Zimper & Alexander Ludwig, 2008. "On attitude polarization under Bayesian learning with non-additive beliefs," Working Papers 104, Economic Research Southern Africa.
  36. Davidson, R. & Mackinnon, J. G., 1995. "Bootstrap Tests of Nonnested Linear Regression Models," G.R.E.Q.A.M. 97a25, Universite Aix-Marseille III.
  37. Nicky Nicholls & Alexander Zimper, 2014. "Subjective Life Expectancy," Working Papers 201410, University of Pretoria, Department of Economics.
  38. Itzhak Gilboa & David Scheidler, 1993. "Updating Ambiguous Beliefs," Post-Print hal-00753150, HAL.
  39. Ayşe İmrohoroğlu & Selahattin İmrohoroğlu & Douglas H. Joines, 2003. "Time-Inconsistent Preferences and Social Security," The Quarterly Journal of Economics, Oxford University Press, vol. 118(2), pages 745-784.
  40. David E. Bloom & David Canning & Michael Moore & Younghwan Song, 2007. "The Effect of Subjective Survival Probabilities on Retirement and Wealth in the United States," Chapters, in: Population Aging, Intergenerational Transfers and the Macroeconomy, chapter 4 Edward Elgar Publishing.
  41. Larry Epstein & Martin Schneider, 2002. "Learning Under Ambiguity," RCER Working Papers 497, University of Rochester - Center for Economic Research (RCER), revised Mar 2005.
  42. Epstein Larry G. & Le Breton Michel, 1993. "Dynamically Consistent Beliefs Must Be Bayesian," Journal of Economic Theory, Elsevier, vol. 61(1), pages 1-22, October.
  43. Martin Salm, 2010. "Subjective mortality expectations and consumption and saving behaviours among the elderly," Canadian Journal of Economics, Canadian Economics Association, vol. 43(3), pages 1040-1057, August.
  44. Mark Huggett & Gustavo Ventura & Amir Yaron, 2007. "Sources of Lifetime Inequality," Working Papers gueconwpa~07-07-04, Georgetown University, Department of Economics.
  45. Cesaltina Pacheco Pires, 2002. "A Rule For Updating Ambiguous Beliefs," Theory and Decision, Springer, vol. 53(2), pages 137-152, September.
  46. Eichberger, Jurgen & Grant, Simon & Kelsey, David, 2007. "Updating Choquet beliefs," Journal of Mathematical Economics, Elsevier, vol. 43(7-8), pages 888-899, September.
  47. Bleichrodt, Han & Eeckhoudt, Louis, 2006. "Survival risks, intertemporal consumption, and insurance: The case of distorted probabilities," Insurance: Mathematics and Economics, Elsevier, vol. 38(2), pages 335-346, April.
  48. Charles F. Manski, 2004. "Measuring Expectations," Econometrica, Econometric Society, vol. 72(5), pages 1329-1376, 09.
  49. Wakker,Peter P., 2010. "Prospect Theory," Cambridge Books, Cambridge University Press, number 9780521765015, Junio.
  50. Hall, Peter & Horowitz, Joel L, 1996. "Bootstrap Critical Values for Tests Based on Generalized-Method-of-Moments Estimators," Econometrica, Econometric Society, vol. 64(4), pages 891-916, July.
  51. Jürgen Eichberger & Simon Grant & David Kelsey, 2012. "When is ambiguity–attitude constant?," Journal of Risk and Uncertainty, Springer, vol. 45(3), pages 239-263, December.
  52. George Wu & Richard Gonzalez, 1999. "Nonlinear Decision Weights in Choice Under Uncertainty," Management Science, INFORMS, vol. 45(1), pages 74-85, January.
  53. Jesus Fernández-Villaverde & Dirk Krueger, 2007. "Consumption over the Life Cycle: Facts from Consumer Expenditure Survey Data," The Review of Economics and Statistics, MIT Press, vol. 89(3), pages 552-565, August.
  54. Benjamin M. Friedman & Mark Warshawsky, 1985. "The Cost of Annuities: Implications for Saving Behavior and Bequests," NBER Working Papers 1682, National Bureau of Economic Research, Inc.
  55. Zimper, Alexander, 2012. "Asset pricing in a Lucas fruit-tree economy with the best and worst in mind," Journal of Economic Dynamics and Control, Elsevier, vol. 36(4), pages 610-628.
  56. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, Oxford University Press, vol. 112(2), pages 443-478.
  57. Michael G. Palumbo, 1999. "Uncertain Medical Expenses and Precautionary Saving Near the End of the Life Cycle," Review of Economic Studies, Oxford University Press, vol. 66(2), pages 395-421.
  58. Nicola Pavoni & Hakki Yazici, 2012. "Optimal Life-cycle Capital Taxation under Self-Control Problems," Working Papers 467, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  59. Siniscalchi, Marciano, 2011. "Dynamic choice under ambiguity," Theoretical Economics, Econometric Society, vol. 6(3), September.
  60. Christopher Harris & David Laibson, 1999. "Dynamic Choices of Hyperbolic Consumers," Harvard Institute of Economic Research Working Papers 1886, Harvard - Institute of Economic Research.
  61. Thomas Epper & Helga Fehr-Duda & Adrian Bruhin, 2010. "Viewing the future through a warped lens: Why uncertainty generates hyperbolic discounting," IEW - Working Papers 510, Institute for Empirical Research in Economics - University of Zurich.
  62. Altonji, Joseph G & Segal, Lewis M, 1996. "Small-Sample Bias in GMM Estimation of Covariance Structures," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(3), pages 353-66, July.
  63. 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.
  64. Ahmed Khwaja & Frank Sloan & Sukyung Chung, 2007. "The relationship between individual expectations and behaviors: Mortality expectations and smoking decisions," Journal of Risk and Uncertainty, Springer, vol. 35(2), pages 179-201, October.
  65. Todd Elder, 2013. "The Predictive Validity of Subjective Mortality Expectations: Evidence From the Health and Retirement Study," Demography, Springer;Population Association of America (PAA), vol. 50(2), pages 569-589, April.
  66. George-Marios Angeletos, 2001. "The Hyberbolic Consumption Model: Calibration, Simulation, and Empirical Evaluation," Journal of Economic Perspectives, American Economic Association, vol. 15(3), pages 47-68, Summer.
  67. Härdle, Wolfgang & Horowitz, Joel L. & Kreiss, Jens-Peter, 2001. "Bootstrap methods for time series," SFB 373 Discussion Papers 2001,59, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  68. Yoram Halevy, 2008. "Strotz Meets Allais: Diminishing Impatience and the Certainty Effect," American Economic Review, American Economic Association, vol. 98(3), pages 1145-62, June.
  69. R. A. Pollak, 1968. "Consistent Planning," Review of Economic Studies, Oxford University Press, vol. 35(2), pages 201-208.
  70. Benjamin M. Friedman & Mark J. Warshawsky, 1990. "The Cost of Annuities: Implications for Saving Behavior and Bequests," The Quarterly Journal of Economics, Oxford University Press, vol. 105(1), pages 135-154.
  71. Fox, Craig R & Rogers, Brett A & Tversky, Amos, 1996. "Options Traders Exhibit Subadditive Decision Weights," Journal of Risk and Uncertainty, Springer, vol. 13(1), pages 5-17, July.
  72. Massimo Marinacci, 2002. "Learning from ambiguous urns," Statistical Papers, Springer, vol. 43(1), pages 143-151, January.
  73. Wu, Shang & Stevens, Ralph & Thorp, Susan, 2015. "Cohort and target age effects on subjective survival probabilities: Implications for models of the retirement phase," Journal of Economic Dynamics and Control, Elsevier, vol. 55(C), pages 39-56.
  74. MARK BEBBINGTON & CHIN-DIEW LAI & RIcARDAS ZITIKIS, 2011. "Modelling Deceleration in Senescent Mortality," Mathematical Population Studies, Taylor & Francis Journals, vol. 18(1), pages 18-37.
  75. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
  76. Kjetil Storesletten & Chris I. Telmer & Amir Yaron, 2004. "Cyclical Dynamics in Idiosyncratic Labor Market Risk," Journal of Political Economy, University of Chicago Press, vol. 112(3), pages 695-717, June.
  77. Robert B. Barsky & F. Thomas Juster & Miles S. Kimball & Matthew D. Shapiro, 1997. "Preference Parameters and Behavioral Heterogeneity: An Experimental Approach in the Health and Retirement Study," The Quarterly Journal of Economics, Oxford University Press, vol. 112(2), pages 537-579.
  78. George Wu & Richard Gonzalez, 1996. "Curvature of the Probability Weighting Function," Management Science, INFORMS, vol. 42(12), pages 1676-1690, December.
  79. J. Horowitz, 1996. "Bootstrap Critical Values For Tests Based On The Smoothed Maximum Score Estimator," SFB 373 Discussion Papers 1996,44, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  80. Wakker, Peter & Tversky, Amos, 1993. "An Axiomatization of Cumulative Prospect Theory," Journal of Risk and Uncertainty, Springer, vol. 7(2), pages 147-75, October.
  81. Joel L. Horowitz, 1996. "Bootstrap Critical Values for Tests Based on the Smoothed Maximum Score Estimator," Econometrics 9603003, EconWPA.
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