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A Life-Cycle Model with Ambiguous Survival Beliefs

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  • Max Groneck

    (CMR, University of Cologne; Netspar; Albertus-Magnus-Platz; 50923 Köln; Germany)

  • Alexander Ludwig

    (SAFE, Goethe University Frankfurt; MEA; Netspar; House of Finance; Grüneburgplatz 1; 60323 Frankfurt am Main; Germany
    Department of Economics; University of Pretoria; Private Bag X20; Hatfield 0028; South Africa)

Abstract

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 em- bedded 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.

Suggested Citation

  • Max Groneck & Alexander Ludwig, 2014. "A Life-Cycle Model with Ambiguous Survival Beliefs," Working Papers 201465, University of Pretoria, Department of Economics.
    • Handle: RePEc:pre:wpaper:201465
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    3. Hippolyte d’Albis & Emmanuel Thibault, 2018. "Ambiguous life expectancy and the demand for annuities," Theory and Decision, Springer, vol. 85(3), pages 303-319, October.
    4. Grevenbrock, Nils & Groneck, Max & Ludwig, Alexander & Zimper, Alexander, 2015. "Biased Survival Beliefs, Psychological and Cognitive Explanations, and the Demand for Life Insurances," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113203, Verein für Socialpolitik / German Economic Association.
    5. Richard Foltyn & Jonna Olsson, 2024. "Subjective life expectancies, time preference heterogeneity, and wealth inequality," Quantitative Economics, Econometric Society, vol. 15(3), pages 699-736, July.
    6. Groneck, Max & Ludwig, Alexander & Zimper, Alexander, 2013. "Ambiguous Survival Beliefs and Hyperbolic Discounting in a Life-Cycle Model," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79878, Verein für Socialpolitik / German Economic Association.
    7. Nils Grevenbrock & Max Groneck & Alexander Ludwig & Alexander Zimper, 2021. "Cognition, Optimism, And The Formation Of Age‐Dependent Survival Beliefs," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(2), pages 887-918, May.
    8. Kureishi, Wataru & Paule-Paludkiewicz, Hannah & Tsujiyama, Hitoshi & Wakabayashi, Midori, 2021. "Time preferences over the life cycle and household saving puzzles," Journal of Monetary Economics, Elsevier, vol. 124(C), pages 123-139.
    9. de Bresser, Jochem, 2021. "Evaluating the Accuracy of Counterfactuals The Role of Heterogeneous Expectations in Life Cycle Models," Discussion Paper 2021-034, Tilburg University, Center for Economic Research.
    10. Caliendo, Frank N. & Gorry, Aspen & Slavov, Sita, 2020. "Survival ambiguity and welfare," Journal of Economic Behavior & Organization, Elsevier, vol. 170(C), pages 20-42.
    11. de Bresser, Jochem, 2019. "The Role of Heterogeneous Expectations in Life Cycle Models : Evaluating the Accuracy of Counterfactuals," Other publications TiSEM 25d04a47-1020-47eb-ba94-4, Tilburg University, School of Economics and Management.
    12. Rawley Z. Heimer & Kristian Ove R. Myrseth & Raphael S. Schoenle, 2019. "YOLO: Mortality Beliefs and Household Finance Puzzles," Journal of Finance, American Finance Association, vol. 74(6), pages 2957-2996, December.
    13. Groneck, Max & Ludwig, Alexander & Zimper, Alexander, 2024. "Who saves more, the naive or the sophisticated agent?," Journal of Economic Theory, Elsevier, vol. 219(C).
    14. Emy Lécuyer & Jean-Philippe Lefort, 2021. "Put–call parity and generalized neo-additive pricing rules," Theory and Decision, Springer, vol. 90(3), pages 521-542, May.
    15. Alexander Zimper & Wei Ma, 2017. "Bayesian learning with multiple priors and nonvanishing ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(3), pages 409-447, October.
    16. Xiaobai Zhu & Kenneth Q. Zhou & Zijia Wang, 2024. "A new paradigm of mortality modeling via individual vitality dynamics," Papers 2407.15388, arXiv.org, revised Oct 2024.
    17. Adriaan Kalwij & Vesile Kutlu Koc, 2021. "Is the accuracy of individuals' survival beliefs associated with their knowledge of population life expectancy?," Demographic Research, Max Planck Institute for Demographic Research, Rostock, Germany, vol. 45(14), pages 453-468.
    18. de Bresser, Jochem, 2021. "Evaluating the Accuracy of Counterfactuals The Role of Heterogeneous Expectations in Life Cycle Models," Other publications TiSEM a7e2b4d8-fed0-4e86-926f-d, Tilburg University, School of Economics and Management.

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    Keywords

    Cumulative prospect theory; Choquet expected utility; Dynamic inconsistency; Life-cycle hypothesis; Saving puzzles;
    All these keywords.

    JEL classification:

    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

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