IDEAS home Printed from https://ideas.repec.org/p/cwl/cwldpp/2231r.html
   My bibliography  Save this paper

Recursive Preferences, the Value of Life, and Household Finance

Author

Listed:

Abstract

We analyze lifecycle saving strategies using a recursive utility model calibrated to match empirical estimates of the value of a statistical life. The novelty of our approach is that we require preferences to be monotone with respect to first order stochastic dominance. The framework we use can disentangle risk aversion and the intertemporal elasticity and can feature a positive value of life without placing constraints on the value of the risk aversion parameter or the intertemporal elasticity of substitution. We show that, with a positive value of life, risk aversion reduces savings, decreases stock market participation and decreases annuity purchase. Risk averse agents are willing to make an early death a not-so-adverse outcome by enjoying greater consumption when young and bequeathing wealth in case of death. The model can rationalize low annuity demand while also matching empirically documented levels of wealth and private investments in stocks.

Suggested Citation

  • Antoine Bommier & Daniel Harenberg & François Le Grand & Cormac O'Dea, 2020. "Recursive Preferences, the Value of Life, and Household Finance," Cowles Foundation Discussion Papers 2231R, Cowles Foundation for Research in Economics, Yale University, revised Dec 2020.
    • Handle: RePEc:cwl:cwldpp:2231r
    Note: Includes supplemental material
    as

    Download full text from publisher

    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d22/d2231-ra.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Daniel Harenberg & Alexander Ludwig, 2019. "Idiosyncratic Risk, Aggregate Risk, And The Welfare Effects Of Social Security," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 60(2), pages 661-692, May.
    2. Andreas Fagereng & Charles Gottlieb & Luigi Guiso, 2017. "Asset Market Participation and Portfolio Choice over the Life-Cycle," Journal of Finance, American Finance Association, vol. 72(2), pages 705-750, April.
    3. Yogo, Motohiro, 2016. "Portfolio choice in retirement: Health risk and the demand for annuities, housing, and risky assets," Journal of Monetary Economics, Elsevier, vol. 80(C), pages 17-34.
    4. Philippe Weil, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(1), pages 29-42.
    5. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
    6. Francisco Gomes & Alexander Michaelides, 2005. "Optimal Life‐Cycle Asset Allocation: Understanding the Empirical Evidence," Journal of Finance, American Finance Association, vol. 60(2), pages 869-904, April.
    7. Rosen, Sherwin, 1988. "The Value of Changes in Life Expectancy," Journal of Risk and Uncertainty, Springer, vol. 1(3), pages 285-304, September.
    8. Larry G. Epstein & Emmanuel Farhi & Tomasz Strzalecki, 2014. "How Much Would You Pay to Resolve Long-Run Risk?," American Economic Review, American Economic Association, vol. 104(9), pages 2680-2697, September.
    9. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    10. 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, February.
    11. Viscusi, W Kip & Aldy, Joseph E, 2003. "The Value of a Statistical Life: A Critical Review of Market Estimates throughout the World," Journal of Risk and Uncertainty, Springer, vol. 27(1), pages 5-76, August.
    12. Mariacristina De Nardi, 2004. "Wealth Inequality and Intergenerational Links," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(3), pages 743-768.
    13. Marshall, John M, 1984. "Gambles and the Shadow Price of Death," American Economic Review, American Economic Association, vol. 74(1), pages 73-86, March.
    14. Sule Alan, 2006. "Entry Costs and Stock Market Participation over the Life Cycle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(4), pages 588-611, October.
    15. Pashchenko, Svetlana, 2013. "Accounting for non-annuitization," Journal of Public Economics, Elsevier, vol. 98(C), pages 53-67.
    16. Michael Hurd & James P. Smith, 2002. "Expected Bequests and Their Distribution," NBER Working Papers 9142, National Bureau of Economic Research, Inc.
    17. Nicolae Gârleanu & Stavros Panageas, 2015. "Young, Old, Conservative, and Bold: The Implications of Heterogeneity and Finite Lives for Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 123(3), pages 670-685.
    18. Robert E. Hall & Charles I. Jones, 2007. "The Value of Life and the Rise in Health Spending," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(1), pages 39-72.
    19. Tomáš Havránek, 2015. "Measuring Intertemporal Substitution: The Importance Of Method Choices And Selective Reporting," Journal of the European Economic Association, European Economic Association, vol. 13(6), pages 1180-1204, December.
    20. Francisco Gomes & Alexander Michaelides, 2008. "Asset Pricing with Limited Risk Sharing and Heterogeneous Agents," The Review of Financial Studies, Society for Financial Studies, vol. 21(1), pages 415-448, January.
    21. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    22. Joachim Inkmann & Paula Lopes & Alexander Michaelides, 2011. "How Deep Is the Annuity Market Participation Puzzle?," The Review of Financial Studies, Society for Financial Studies, vol. 24(1), pages 279-319.
    23. Fatih Guvenen, 2009. "An Empirical Investigation of Labor Income Processes," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 12(1), pages 58-79, January.
    24. Steffen Andersen & Glenn W. Harrison & Morten I. Lau & E. Elisabet Rutström, 2008. "Eliciting Risk and Time Preferences," Econometrica, Econometric Society, vol. 76(3), pages 583-618, May.
    25. Kihlstrom, Richard E. & Mirman, Leonard J., 1974. "Risk aversion with many commodities," Journal of Economic Theory, Elsevier, vol. 8(3), pages 361-388, July.
    26. Jeffrey R. Brown, 2007. "Rational and Behavioral Perspectives on the Role of Annuities in Retirement Planning," NBER Working Papers 13537, National Bureau of Economic Research, Inc.
    27. Menahem E. Yaari, 1965. "Uncertain Lifetime, Life Insurance, and the Theory of the Consumer," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 137-150.
    28. Francisco Gomes & Alexander Michaelides & Valery Polkovnichenko, 2009. "Optimal Savings with Taxable and Tax-Deferred Accounts," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 12(4), pages 718-735, October.
    29. Antoine Bommier & Asen Kochov & François Le Grand, 2017. "On Monotone Recursive Preferences," Econometrica, Econometric Society, vol. 85, pages 1433-1466, September.
    30. Julien Hugonnier & Florian Pelgrin, 2013. "Health and (Other) Asset Holdings," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(2), pages 663-710.
    31. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    32. Joao F. Cocco, 2005. "Consumption and Portfolio Choice over the Life Cycle," The Review of Financial Studies, Society for Financial Studies, vol. 18(2), pages 491-533.
    33. Paul A. Samuelson, 1937. "A Note on Measurement of Utility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 4(2), pages 155-161.
    34. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, January.
    35. Donald S. Shepard & Richard J. Zeckhauser, 1984. "Survival versus Consumption," Management Science, INFORMS, vol. 30(4), pages 423-439, April.
    36. Lee Lockwood, 2012. "Bequest Motives and the Annuity Puzzle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(2), pages 226-243, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Svetlana Pashchenko & Ponpoje Porapakkarm, 2022. "Value of life and annuity demand," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 89(2), pages 371-396, June.
    2. Krueger, Dirk & Ludwig, Alexander & Villalvazo, Sergio, 2021. "Optimal taxes on capital in the OLG model with uninsurable idiosyncratic income risk," Journal of Public Economics, Elsevier, vol. 201(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Svetlana Pashchenko & Ponpoje Porapakkarm, 2022. "Value of life and annuity demand," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 89(2), pages 371-396, June.
    2. Antoine Bommier & François Grand, 2014. "Too risk averse to purchase insurance?," Journal of Risk and Uncertainty, Springer, vol. 48(2), pages 135-166, April.
    3. Francisco Gomes & Michael Haliassos & Tarun Ramadorai, 2021. "Household Finance," Journal of Economic Literature, American Economic Association, vol. 59(3), pages 919-1000, September.
    4. Bommier, Antoine & Harenberg, Daniel & Le Grand, François, 2017. "Household Finance and the Value of Life," VfS Annual Conference 2017 (Vienna): Alternative Structures for Money and Banking 168189, Verein für Socialpolitik / German Economic Association.
    5. Antoine Bommier, Francois Le Grand, "undated". "Too Risk Averse to Purchase Insurance? A Theoretical Glance at the Annuity Puzzle," Working Papers ETH-RC-12-002, ETH Zurich, Chair of Systems Design.
    6. Bommier, Antoine & Schernberg, Hélène, 2021. "Would you prefer your retirement income to depend on your life expectancy?," Journal of Economic Theory, Elsevier, vol. 191(C).
    7. Russell Cooper & Guozhong Zhu, 2016. "Household Finance over the Life-Cycle: What does Education Contribute?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 20, pages 63-89, April.
    8. Zhou, Jie, 2012. "Life-cycle stock market participation in taxable and tax-deferred accounts," Journal of Economic Dynamics and Control, Elsevier, vol. 36(11), pages 1814-1829.
    9. Eric André & Antoine Bommier & François Le Grand, 2022. "The impact of risk aversion and ambiguity aversion on annuity and saving choices," Journal of Risk and Uncertainty, Springer, vol. 65(1), pages 33-56, August.
    10. Joachim Inkmann & Alexander Michaelides, 2012. "Can the Life Insurance Market Provide Evidence for a Bequest Motive?," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 79(3), pages 671-695, September.
    11. Mariacristina De Nardi & Eric French & John Bailey Jones, 2016. "Savings After Retirement: A Survey," Annual Review of Economics, Annual Reviews, vol. 8(1), pages 177-204, October.
    12. Joachim Inkmann & Paula Lopes & Alexander Michaelides, 2011. "How Deep Is the Annuity Market Participation Puzzle?," The Review of Financial Studies, Society for Financial Studies, vol. 24(1), pages 279-319.
    13. Bong-Gyu Jang & Hyeng Keun Koo & Yuna Rhee, 2016. "Asset demands and consumption with longevity risk," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(3), pages 587-633, August.
    14. Korniotis, George & Bonaparte, Yosef & Kumar, Alok, 2020. "Income Risk and Stock Market Entry/Exit Decisions," CEPR Discussion Papers 15370, C.E.P.R. Discussion Papers.
    15. Julien Hugonnier & Florian Pelgrin, 2013. "Health and (Other) Asset Holdings," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(2), pages 663-710.
    16. Magnus Dahlquist & Ofer Setty & Roine Vestman, 2018. "On the Asset Allocation of a Default Pension Fund," Journal of Finance, American Finance Association, vol. 73(4), pages 1893-1936, August.
    17. Jung, Juergen & Tran, Chung & Chambers, Matthew, 2017. "Aging and health financing in the U.S.: A general equilibrium analysis," European Economic Review, Elsevier, vol. 100(C), pages 428-462.
    18. 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.
    19. Pelgrin, Florian & St-Amour, Pascal, 2016. "Life cycle responses to health insurance status," Journal of Health Economics, Elsevier, vol. 49(C), pages 76-96.
    20. Mengyi Xu & Jennifer Alonso Garcia & Michael Sherris & Adam Shao, 2022. "Insuring Longevity Risk and Long-Term Care: Bequest, Housing and Liquidity," ULB Institutional Repository 2013/340821, ULB -- Universite Libre de Bruxelles.

    More about this item

    Keywords

    Lifecycle model; Value of life; Risk aversion; Saving choices; Portfolio choices; Annuity puzzle; Recursive utility;
    All these keywords.

    JEL classification:

    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • J14 - Labor and Demographic Economics - - Demographic Economics - - - Economics of the Elderly; Economics of the Handicapped; Non-Labor Market Discrimination
    • J17 - Labor and Demographic Economics - - Demographic Economics - - - Value of Life; Foregone Income

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cwl:cwldpp:2231r. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Brittany Ladd (email available below). General contact details of provider: https://edirc.repec.org/data/cowleus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.