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Value of Life and Annuity Demand

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  • Pashchenko, Svetlana
  • Porapakkarm, Ponpoje

Abstract

How does the value of life affect annuity demand? To address this question, we construct a portfolio choice problem with three key features: i) agents have access to life-contingent assets, ii) they always prefer living to dying, iii) agents have non-expected utility preferences. We show that as utility from being alive increases, annuity demand decreases (increases) if agents are more (less) averse to risk rather than to intertemporal fluctuations. Put differently, if people prefer early resolution of uncertainty, they are less interested in annuities when the value of life is high. Our findings have two important implications. First, we get better understanding of the well-known annuity puzzle. Second, we argue that the observed low annuity demand provides evidence that people prefer early rather than late resolution of uncertainty.

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  • Pashchenko, Svetlana & Porapakkarm, Ponpoje, 2021. "Value of Life and Annuity Demand," MPRA Paper 108886, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:108886
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    1. 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.
    2. Raquel Fonseca & Pierre-Carl Michaud & Titus Galama & Arie Kapteyn, 2021. "Accounting for the Rise of Health Spending and Longevity," Journal of the European Economic Association, European Economic Association, vol. 19(1), pages 536-579.
    3. Antoine Bommier & François Le Grand, 2014. "Too risk averse to purchase insurance?," Post-Print hal-02313181, HAL.
    4. Antoine Bommier & Bertrand Villeneuve, 2012. "Risk Aversion and the Value of Risk to Life," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 79(1), pages 77-104, March.
    5. Svetlana Pashchenko & Ponpoje Porapakkarm, 2024. "Accounting For Social Security Claiming Behavior," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 65(1), pages 505-545, February.
    6. 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.
    7. Kim Peijnenburg & Theo Nijman & Bas J.M. Werker, 2017. "Health Cost Risk: A Potential Solution to the Annuity Puzzle," Economic Journal, Royal Economic Society, vol. 127(603), pages 1598-1625, August.
    8. Philippe Weil, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(1), pages 29-42.
    9. Rosen, Sherwin, 1988. "The Value of Changes in Life Expectancy," Journal of Risk and Uncertainty, Springer, vol. 1(3), pages 285-304, September.
    10. 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..
    11. Xiaohong Chen & Jack Favilukis & Sydney C. Ludvigson, 2013. "An estimation of economic models with recursive preferences," Quantitative Economics, Econometric Society, vol. 4(1), pages 39-83, March.
    12. 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.
    13. Fatih Guvenen, 2009. "A Parsimonious Macroeconomic Model for Asset Pricing," Econometrica, Econometric Society, vol. 77(6), pages 1711-1750, November.
    14. David K. Backus & Bryan R. Routledge & Stanley E. Zin, 2005. "Exotic Preferences for Macroeconomists," NBER Chapters, in: NBER Macroeconomics Annual 2004, Volume 19, pages 319-414, National Bureau of Economic Research, Inc.
    15. Greg Kaplan & Giovanni L. Violante, 2014. "A Model of the Consumption Response to Fiscal Stimulus Payments," Econometrica, Econometric Society, vol. 82(4), pages 1199-1239, July.
    16. 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.
    17. Meissner, Thomas & Pfeiffer, Philipp, 2022. "Measuring preferences over the temporal resolution of consumption uncertainty," Journal of Economic Theory, Elsevier, vol. 200(C).
    18. TallariniJr., Thomas D., 2000. "Risk-sensitive real business cycles," Journal of Monetary Economics, Elsevier, vol. 45(3), pages 507-532, June.
    19. Anderson, Evan W., 2005. "The dynamics of risk-sensitive allocations," Journal of Economic Theory, Elsevier, vol. 125(2), pages 93-150, December.
    20. David Dillenberger & Daniel Gottlieb & Pietro Ortoleva, 2017. "Stochastic Impatience and the Separation of Time and Risk Preferences," PIER Working Paper Archive 20-026, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 05 Jul 2020.
    21. Bryan R. Routledge & Stanley E. Zin, 2010. "Generalized Disappointment Aversion and Asset Prices," Journal of Finance, American Finance Association, vol. 65(4), pages 1303-1332, August.
    22. Gul, Faruk, 1991. "A Theory of Disappointment Aversion," Econometrica, Econometric Society, vol. 59(3), pages 667-686, May.
    23. Pashchenko, Svetlana, 2013. "Accounting for non-annuitization," Journal of Public Economics, Elsevier, vol. 98(C), pages 53-67.
    24. 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.
    25. Alexander L. Brown & Hwagyun Kim, 2014. "Do Individuals Have Preferences Used in Macro-Finance Models? An Experimental Investigation," Management Science, INFORMS, vol. 60(4), pages 939-958, April.
    26. Mariacristina De Nardi & Eric French & John Bailey Jones, 2016. "Medicaid Insurance in Old Age," American Economic Review, American Economic Association, vol. 106(11), pages 3480-3520, November.
    27. 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.
    28. Lisa A. Robinson, 2007. "Policy Monitor How US Government Agencies Value Mortality Risk Reductions," Review of Environmental Economics and Policy, Association of Environmental and Resource Economists, vol. 1(2), pages 283-299, Summer.
    29. Julien Hugonnier & Florian Pelgrin & Pascal St‐Amour, 2020. "Closing down the shop: Optimal health and wealth dynamics near the end of life," Health Economics, John Wiley & Sons, Ltd., vol. 29(2), pages 138-153, February.
    30. Claudio Campanale & Rui Castro & Gian Luca Clementi, 2010. "Asset Pricing in a Production Economy with Chew-Dekel Preferences," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(2), pages 379-402, April.
    31. Love, David A., 2017. "Countercyclical retirement accounts," European Economic Review, Elsevier, vol. 98(C), pages 32-48.
    32. Christopher J. Malloy & Tobias J. Moskowitz & Annette Vissing‐Jørgensen, 2009. "Long‐Run Stockholder Consumption Risk and Asset Returns," Journal of Finance, American Finance Association, vol. 64(6), pages 2427-2479, December.
    33. John Ameriks & Joseph Briggs & Andrew Caplin & Matthew D. Shapiro & Christopher Tonetti, 2020. "Long-Term-Care Utility and Late-in-Life Saving," Journal of Political Economy, University of Chicago Press, vol. 128(6), pages 2375-2451.
    34. Kevin M. Murphy & Robert H. Topel, 2006. "The Value of Health and Longevity," Journal of Political Economy, University of Chicago Press, vol. 114(5), pages 871-904, October.
    35. 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.
    36. Ameriks, John & Mitchell, Olivia S. (ed.), 2008. "Recalibrating Retirement Spending and Saving," OUP Catalogue, Oxford University Press, number 9780199549108, Decembrie.
    37. Emily Oster & Ira Shoulson & E. Ray Dorsey, 2013. "Optimal Expectations and Limited Medical Testing: Evidence from Huntington Disease," American Economic Review, American Economic Association, vol. 103(2), pages 804-830, April.
    38. Lee M. Lockwood, 2018. "Incidental Bequests and the Choice to Self-Insure Late-Life Risks," American Economic Review, American Economic Association, vol. 108(9), pages 2513-2550, September.
    39. Kim Peijnenburg & Theo Nijman & Bas J.M. Werker, 2017. "Health Cost Risk: A Potential Solution to the Annuity Puzzle," Economic Journal, Royal Economic Society, vol. 127(603), pages 1598-1625, August.
    40. Chew, Soo Hong, 1983. "A Generalization of the Quasilinear Mean with Applications to the Measurement of Income Inequality and Decision Theory Resolving the Allais Paradox," Econometrica, Econometric Society, vol. 51(4), pages 1065-1092, July.
    41. Viscusi, W Kip, 1993. "The Value of Risks to Life and Health," Journal of Economic Literature, American Economic Association, vol. 31(4), pages 1912-1946, December.
    42. repec:dau:papers:123456789/4812 is not listed on IDEAS
    43. 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.
    44. Juan Carlos CóRdoba & Marla Ripoll, 2017. "Risk Aversion and the Value of Life," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(4), pages 1472-1509.
    45. 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).
    46. 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.
    47. Hubbard, R. Glenn & Skinner, Jonathan & Zeldes, Stephen P., 1994. "The importance of precautionary motives in explaining individual and aggregate saving," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 40(1), pages 59-125, June.
    48. Antoine Bommier & Asen Kochov & François Le Grand, 2017. "On Monotone Recursive Preferences," Econometrica, Econometric Society, vol. 85, pages 1433-1466, September.
    49. 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.
    50. Dushi, Irena & Webb, Anthony, 2004. "Household annuitization decisions: simulations and empirical analyses," Journal of Pension Economics and Finance, Cambridge University Press, vol. 3(2), pages 109-143, July.
    51. Raquel Fonseca & Pierre-Carl Michaud & Titus Galama & Arie Kapteyn, 0. "Accounting for the Rise of Health Spending and Longevity," Journal of the European Economic Association, European Economic Association, vol. 19(1), pages 536-579.
    52. Felix Reichling & Kent Smetters, 2015. "Optimal Annuitization with Stochastic Mortality and Correlated Medical Costs," American Economic Review, American Economic Association, vol. 105(11), pages 3273-3320, November.
    53. Ravi Bansal & Amir Yaron, 2004. "Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles," Journal of Finance, American Finance Association, vol. 59(4), pages 1481-1509, August.
    54. Antoine Bommier & François Grand, 2014. "Too risk averse to purchase insurance?," Journal of Risk and Uncertainty, Springer, vol. 48(2), pages 135-166, April.
    55. Motohiro Yogo, 2006. "A Consumption‐Based Explanation of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 61(2), pages 539-580, April.
    56. 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.
    57. Dekel, Eddie, 1986. "An axiomatic characterization of preferences under uncertainty: Weakening the independence axiom," Journal of Economic Theory, Elsevier, vol. 40(2), pages 304-318, December.
    58. 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.
    59. Attanasio, Orazio P & Weber, Guglielmo, 1989. "Intertemporal Substitution, Risk Aversion and the Euler Equation for Consumption," Economic Journal, Royal Economic Society, vol. 99(395), pages 59-73, Supplemen.
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    1. Pashchenko, Svetlana & Porapakkarm, Ponpoje & Jang, Youngsoo, 2023. "Mortality Regressivity and Pension Design," MPRA Paper 117936, University Library of Munich, Germany.

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    More about this item

    Keywords

    annuities; value of a statistical life; portfolio choice problem; life-contingent assets; longevity insurance;
    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
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies

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