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Cognition and Wealth: The Importance of Probabilistic Thinking

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Author Info
Lee Lillard
Robert J. Willis (University of Michigan)

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Abstract

This paper utilizes a large set of subjective probability questions from the Health and Retirement Survey to construct an index measuring the precision of probabilistic beliefs (PPB) and relates this index to household choices about the riskiness of their portfolios and the rate of growth of their net worth. A theory of uncertainty aversion based on repeated sampling is proposed that resolves the Ellsberg Paradox within a conventional expected utility model. In this theory, uncertainty aversion is implied by risk aversion. This theory is then used to propose a link between an individual’s degree of uncertainty and his propensity to give “focal” answers of “0”, “50_50” or “100” or “exact” answers to survey questions and the validity of this interpretation is tested empirically. Finally, an index of the precision of probabilistic thinking is constructed by calculating the fraction of probability questions to which each HRS respondent gives a non-focal answer. This index is shown to have a statistically and economically significant positive effect on the fraction of risky assets in household portfolios and on the rate of growth of these assets longitudinally. These results suggest that there is systematic variation in the competence of individuals to manage investment accounts that should be considered in designing policies to create individual retirement accounts in the Social Security system.

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Paper provided by University of Michigan, Michigan Retirement Research Center in its series Working Papers with number wp007.

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Length: 52 pages
Date of creation: Jun 2001
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Handle: RePEc:mrr:papers:wp007

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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. Lillard, Lee A & Willis, Robert J, 1978. "Dynamic Aspects of Earning Mobility," Econometrica, Econometric Society, vol. 46(5), pages 985-1012, September. [Downloadable!] (restricted)
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  2. Heckman, James J & Willis, Robert J, 1977. "A Beta-logistic Model for the Analysis of Sequential Labor Force Participation by Married Women," Journal of Political Economy, University of Chicago Press, vol. 85(1), pages 27-58, February. [Downloadable!] (restricted)
    Other versions:
  3. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April. [Downloadable!] (restricted)
  4. James P. Smith, 2004. "Inheritances and Bequests," Labor and Demography 0408012, EconWPA. [Downloadable!]
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  5. 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)
  6. Chris Starmer, 2000. "Developments in Non-expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk," Journal of Economic Literature, American Economic Association, vol. 38(2), pages 332-382, June. [Downloadable!] (restricted)
  7. Johnson, William R, 1978. "A Theory of Job Shopping," The Quarterly Journal of Economics, MIT Press, vol. 92(2), pages 261-78, May. [Downloadable!] (restricted)
  8. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September. [Downloadable!] (restricted)
  9. James M. Poterba & David A. Wise, 1998. "Individual Financial Decisions in Retirement Saving Plans and the Provision of Resources for Retirement," NBER Chapters, in: Privatizing Social Security, pages 363-401 National Bureau of Economic Research, Inc. [Downloadable!]
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  10. Willis, Robert J., 1999. "Theory confronts data: how the HRS is shaped by the economics of aging and how the economics of aging will be shaped by the HRS," Labour Economics, Elsevier, vol. 6(2), pages 119-145, 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. Steven Haider & Mel StephensJr., 2006. "How Accurate are Expected Retirement Savings?," Working Papers wp128, University of Michigan, Michigan Retirement Research Center. [Downloadable!]
  2. Todd Elder, 2007. "Subjective Survival Probabilities in the Health and Retirement Study: Systematic Biases and Predictive Validity," Working Papers wp159, University of Michigan, Michigan Retirement Research Center. [Downloadable!]
  3. Borghans Lex & Cörvers Frank, 2009. "The Americanization of European Higher Education and Research," Research Memoranda 010, Maastricht : ROA, Research Centre for Education and the Labour Market. [Downloadable!]
  4. Dohmen, Thomas J & Falk, Armin & Huffman, David & Sunde, Uwe, 2008. "Are Risk Aversion and Impatience Related to Cognitive Ability?," CEPR Discussion Papers 6852, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  5. Adeline Delavande & Hans-Peter Kohler, 2009. "Subjective expectations in the context of HIV/AIDS in Malawi," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 20(31), pages 817-875, June. [Downloadable!]
  6. Gábor Kézdi & Robert J. Willis, 2003. "Who Becomes a Stockholder? Expectations, SUbjective Uncertainty, and Asset Allocation," Working Papers wp039, University of Michigan, Michigan Retirement Research Center. [Downloadable!]
  7. Claudia R. Sahm, 2007. "Stability of risk preference," Finance and Economics Discussion Series 2007-66, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  8. John Ameriks & Andrew Caplin & Steven Laufer & Stijn Van Nieuwerburgh, 2007. "The Joy of Giving or Assisted Living? Using Strategic Surveys to Separate Bequest and Precautionary Motives," NBER Working Papers 13105, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  9. Herings P. Jean-Jacques & Predtetchinski Arkadi, 2009. "Bargaining with Non-convexities," Research Memoranda 042, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
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