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The Annuity Puzzle Revisited

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  • Hugo Benítez-Silva

    (SUNY at Stony Brook)

Abstract

There is a pressing need for a better understanding of how access to various types of financial products can impact retirement behavior, especially if this access comes from a change in the incentive scheme through a reform of the current Social Security system. This is especially important if we are to provide useful policy recommendations regarding reform to the current social insurance system. In this paper I focus on the “annuity puzzle,” the question as to why the annuity market is so narrow. I present a model that endogenizes the annuity decision along with the consumption/saving and labor supply decisions. This research enhances our understanding of how annuities work in a life cycle model with more realistic characterizations of the choices and incentives that individuals face. My results show that the low rates of annuitization can be the product of optimal decision making by individuals in a life cycle model which endogenizes the labor/leisure decision and accounts for Social Security. The government should pay particular attention to the rules regarding withdrawal of benefits through annuities or lump-sums when introducing individual retirement accounts or other privatization schemes, given the interaction between retirement incentives and the attractiveness of annuities.

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  • Hugo Benítez-Silva, 2003. "The Annuity Puzzle Revisited," Working Papers wp055, University of Michigan, Michigan Retirement Research Center.
  • Handle: RePEc:mrr:papers:wp055
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    1. Martin Browning & Annamaria Lusardi, 1996. "Household Saving: Micro Theories and Micro Facts," Journal of Economic Literature, American Economic Association, vol. 34(4), pages 1797-1855, December.
    2. Christopher D. Carroll, 1997. "Buffer-Stock Saving and the Life Cycle/Permanent Income Hypothesis," The Quarterly Journal of Economics, Oxford University Press, vol. 112(1), pages 1-55.
    3. Eric French, 2005. "The Effects of Health, Wealth, and Wages on Labour Supply and Retirement Behaviour," Review of Economic Studies, Oxford University Press, vol. 72(2), pages 395-427.
    4. Hubbard, R Glenn & Skinner, Jonathan & Zeldes, Stephen P, 1995. "Precautionary Saving and Social Insurance," Journal of Political Economy, University of Chicago Press, vol. 103(2), pages 360-399, April.
    5. Brown, Jeffrey R. & Mitchell, Olivia S. & Poterba, James M. & Warshawsky, Mark J., 2001. "The Role of Annuity Markets in Financing Retirement," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262529130, September.
    6. Attanasio, Orazio P & Browning, Martin, 1995. "Consumption over the Life Cycle and over the Business Cycle," American Economic Review, American Economic Association, vol. 85(5), pages 1118-1137, December.
    7. Kotlikoff, Laurence J & Spivak, Avia, 1981. "The Family as an Incomplete Annuities Market," Journal of Political Economy, University of Chicago Press, vol. 89(2), pages 372-391, April.
    8. John Geanakoplos & Olivia S. Mitchell & Stephen P. Zeldes, "undated". "Social Security Money's Worth," Pension Research Council Working Papers 98-9, Wharton School Pension Research Council, University of Pennsylvania.
    9. Modigliani, Franco, 1988. "The Role of Intergenerational Transfers and Life Cycle Saving in the Accumulation of Wealth," Journal of Economic Perspectives, American Economic Association, vol. 2(2), pages 15-40, Spring.
    10. Walliser, Jan, 2000. " Adverse Selection in the Annuities Market and the Impact of Privatizing Social Security," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(3), pages 373-393, June.
    11. Banks, James & Blundell, Richard & Tanner, Sarah, 1998. "Is There a Retirement-Savings Puzzle?," American Economic Review, American Economic Association, vol. 88(4), pages 769-788, September.
    12. Kotlikoff, Laurence J & Summers, Lawrence H, 1981. "The Role of Intergenerational Transfers in Aggregate Capital Accumulation," Journal of Political Economy, University of Chicago Press, vol. 89(4), pages 706-732, August.
    13. Eric French, 2004. "The Labor Supply Response to (Mismeasured but) Predictable Wage Changes," The Review of Economics and Statistics, MIT Press, vol. 86(2), pages 602-613, May.
    14. Hugo Benítez-Silva, 2003. "Labor Supply Flexibility and Portfolio Choice: An Empirical Analysis," Working Papers wp056, University of Michigan, Michigan Retirement Research Center.
    15. Brown, Jeffrey R., 2001. "Private pensions, mortality risk, and the decision to annuitize," Journal of Public Economics, Elsevier, vol. 82(1), pages 29-62, October.
    16. Tauchen, George & Hussey, Robert, 1991. "Quadrature-Based Methods for Obtaining Approximate Solutions to Nonlinear Asset Pricing Models," Econometrica, Econometric Society, vol. 59(2), pages 371-396, March.
    17. John Rust & Christopher Phelan, 1997. "How Social Security and Medicare Affect Retirement Behavior in a World of Incomplete Markets," Econometrica, Econometric Society, vol. 65(4), pages 781-832, July.
    18. Hurd, Michael D, 1989. "Mortality Risk and Bequests," Econometrica, Econometric Society, vol. 57(4), pages 779-813, July.
    19. Miller, Bruce L, 1974. "Optimal Consumption with a Stochastic Income Stream," Econometrica, Econometric Society, vol. 42(2), pages 253-266, March.
    20. Attanasio, Orazio P, et al, 1999. "Humps and Bumps in Lifetime Consumption," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(1), pages 22-35, January.
    21. Bernheim, B Douglas, 1991. "How Strong Are Bequest Motives? Evidence Based on Estimates of the Demand for Life Insurance and Annuities," Journal of Political Economy, University of Chicago Press, vol. 99(5), pages 899-927, October.
    22. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, September.
    23. Olivia S. Mitchell, 1999. "New Evidence on the Money's Worth of Individual Annuities," American Economic Review, American Economic Association, vol. 89(5), pages 1299-1318, December.
    24. Laitner, John & Juster, F Thomas, 1996. "New Evidence on Altruism: A Study of TIAA-CREF Retirees," American Economic Review, American Economic Association, vol. 86(4), pages 893-908, September.
    25. Leora Friedberg, 2000. "The Labor Supply Effects of the Social Security Earnings Test," The Review of Economics and Statistics, MIT Press, vol. 82(1), pages 48-63, February.
    26. Paul A. Samuelson, 2011. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," World Scientific Book Chapters, in: Leonard C MacLean & Edward O Thorp & William T Ziemba (ed.),THE KELLY CAPITAL GROWTH INVESTMENT CRITERION THEORY and PRACTICE, volume 3, chapter 31, pages 465-472, World Scientific Publishing Co. Pte. Ltd..
    27. Rob Alessie & Annamaria Lusardi & Trea Aldershof, 1997. "Income And Wealth Over The Life Cycle Evidence From Panel Data," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 43(1), pages 1-32, March.
    28. Zvi Bodie & John B. Shoven & David A. Wise, 1987. "Issues in Pension Economics," NBER Books, National Bureau of Economic Research, Inc, number bodi87-1, March.
    29. Jeffrey Brown, 2001. "Are the Elderly Really Over-Annuitized? New Evidence on Life Insurance and Bequests," NBER Chapters, in: Themes in the Economics of Aging, pages 91-126, National Bureau of Economic Research, Inc.
    30. Ayse Imrohoroglu & Selahattin Imrohoroglu & Douglas H. Joines, 1998. "Computing Models of Social Security," QM&RBC Codes 131, Quantitative Macroeconomics & Real Business Cycles.
    31. Davies, James B, 1981. "Uncertain Lifetime, Consumption, and Dissaving in Retirement," Journal of Political Economy, University of Chicago Press, vol. 89(3), pages 561-577, June.
    32. Eichenbaum, Martin S & Peled, Dan, 1987. "Capital Accumulation and Annuities in an Adverse Selection Economy," Journal of Political Economy, University of Chicago Press, vol. 95(2), pages 334-354, April.
    33. Attanasio, Orazio P & Weber, Guglielmo, 1995. "Is Consumption Growth Consistent with Intertemporal Optimization? Evidence from the Consumer Expenditure Survey," Journal of Political Economy, University of Chicago Press, vol. 103(6), pages 1121-1157, December.
    34. Pierre-Olivier Gourinchas & Jonathan A. Parker, 2002. "Consumption Over the Life Cycle," Econometrica, Econometric Society, vol. 70(1), pages 47-89, January.
    35. Wilhelm, Mark O, 1996. "Bequest Behavior and the Effect of Heirs' Earnings: Testing the Altruistic Model of Bequests," American Economic Review, American Economic Association, vol. 86(4), pages 874-892, September.
    36. Stephen P. Zeldes, 1989. "Optimal Consumption with Stochastic Income: Deviations from Certainty Equivalence," The Quarterly Journal of Economics, Oxford University Press, vol. 104(2), pages 275-298.
    37. Hakansson, Nils H, 1970. "Optimal Investment and Consumption Strategies Under Risk for a Class of Utility Functions," Econometrica, Econometric Society, vol. 38(5), pages 587-607, September.
    38. John Rust, 1997. "A Comparison of Policy Iteration Methods for Solving Continuous-State, Infinite-Horizon Markovian Decision Problems Using Random, Quasi-random, and Deterministic Discretizations," Computational Economics 9704001, University Library of Munich, Germany.
    39. Fama, Eugene F, 1970. "Multiperiod Consumption-Investment Decisions," American Economic Review, American Economic Association, vol. 60(1), pages 163-174, March.
    40. 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.
    41. James M. Poterba, 1998. "Population Age Structure and Asset Returns: An Empirical Investigation," NBER Working Papers 6774, National Bureau of Economic Research, Inc.
    42. Christopher D. Carroll, 1994. "How does Future Income Affect Current Consumption?," The Quarterly Journal of Economics, Oxford University Press, vol. 109(1), pages 111-147.
    43. Bodie, Zvi & Merton, Robert C. & Samuelson, William F., 1992. "Labor supply flexibility and portfolio choice in a life cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 427-449.
    44. William M. Gentry & Joseph Milano, 1998. "Taxes and Investment in Annuities," NBER Working Papers 6525, National Bureau of Economic Research, Inc.
    45. 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.
    46. Laurence J. Kotlikoff & John B. Shoven & Avia Spivak, 1987. "Annuity Markets, Savings, and the Capital Stock," NBER Chapters, in: Issues in Pension Economics, pages 211-236, National Bureau of Economic Research, Inc.
    47. Hurd, Michael D, 1987. "Savings of the Elderly and Desired Bequests," American Economic Review, American Economic Association, vol. 77(3), pages 298-312, June.
    48. Nagatani, Keizo, 1972. "Life Cycle Saving: Theory and Fact," American Economic Review, American Economic Association, vol. 62(3), pages 344-353, June.
    49. Browning, Martin & Meghir, Costas, 1991. "The Effects of Male and Female Labor Supply on Commodity Demands," Econometrica, Econometric Society, vol. 59(4), pages 925-951, July.
    50. A. Sandmo, 1970. "The Effect of Uncertainty on Saving Decisions," Review of Economic Studies, Oxford University Press, vol. 37(3), pages 353-360.
    51. Kotlikoff, Laurence J, 1979. "Testing the Theory of Social Security and Life Cycle Accumulation," American Economic Review, American Economic Association, vol. 69(3), pages 396-410, June.
    52. B. Douglas Bernheim, 1987. "Dissaving after Retirement: Testing the Pure Life Cycle Hypothesis," NBER Chapters, in: Issues in Pension Economics, pages 237-280, National Bureau of Economic Research, Inc.
    53. Hugo Benitez-Silva & John Rust & Gunter Hitsch & Giorgio Pauletto & George Hall, 2000. "A Comparison Of Discrete And Parametric Methods For Continuous-State Dynamic Programming Problems," Computing in Economics and Finance 2000 24, Society for Computational Economics.
    54. Karen E. Dynan & Jonathan Skinner & Stephen P. Zeldes, 2004. "Do the Rich Save More?," Journal of Political Economy, University of Chicago Press, vol. 112(2), pages 397-444, April.
    55. Engen, Eric & Gale, William & Uccello, Cori, 1999. "The Adequacy of Household Saving," MPRA Paper 56442, University Library of Munich, Germany.
    56. Alessie, Rob & Lusardi, Annamaria, 1997. "Consumption, saving and habit formation," Economics Letters, Elsevier, vol. 55(1), pages 103-108, August.
    57. Skinner, Jonathan, 1988. "Risky income, life cycle consumption, and precautionary savings," Journal of Monetary Economics, Elsevier, vol. 22(2), pages 237-255, September.
    58. Seater, John J., 1977. "A unified model of consumption, labor supply, and job search," Journal of Economic Theory, Elsevier, vol. 14(2), pages 349-372, April.
    59. Hamish Low, 1999. "Self-insurance and unemployment benefit in a life-cycle model of labour supply and savings," IFS Working Papers W99/24, Institute for Fiscal Studies.
    60. Thurow, Lester C, 1969. "The Optimum Lifetime Distribution of Consumption Expenditures," American Economic Review, American Economic Association, vol. 59(3), pages 324-330, June.
    61. 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.
    62. Jerusalem D. Levhari & T. N. Srinivasan, 1969. "Optimal Savings under Uncertainty," Review of Economic Studies, Oxford University Press, vol. 36(2), pages 153-163.
    63. Brugiavini, Agar, 1993. "Uncertainty resolution and the timing of annuity purchases," Journal of Public Economics, Elsevier, vol. 50(1), pages 31-62, January.
    64. Heckman, James J, 1974. "Life Cycle Consumption and Labor Supply: An Explanation of the Relationship Between Income and Consumption Over the Life Cycle," American Economic Review, American Economic Association, vol. 64(1), pages 188-194, March.
    65. Craig Burnside, 1998. "Discrete State-Space Methods for the Study of Dynamic Economies," QM&RBC Codes 125, Quantitative Macroeconomics & Real Business Cycles.
    66. Hubbard, R Glenn & Judd, Kenneth L, 1987. "Social Security and Individual Welfare: Precautionary Saving, Borrowing Constraints, and the Payroll Tax," American Economic Review, American Economic Association, vol. 77(4), pages 630-646, September.
    67. Butler, Monika, 1999. "Anticipation effects of looming public-pension reforms," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 50(1), pages 119-159, June.
    68. Carroll, Christopher D. & Samwick, Andrew A., 1997. "The nature of precautionary wealth," Journal of Monetary Economics, Elsevier, vol. 40(1), pages 41-71, September.
    69. Lusardi, Annamaria, 1998. "On the Importance of the Precautionary Saving Motive," American Economic Review, American Economic Association, vol. 88(2), pages 449-453, May.
    70. Mark Huggett & Gustavo Ventura, 1999. "On the Distributional Effects of Social Security Reform," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(3), pages 498-531, July.
    71. Feldstein, Martin S, 1974. "Social Security, Induced Retirement, and Aggregate Capital Accumulation," Journal of Political Economy, University of Chicago Press, vol. 82(5), pages 905-926, Sept./Oct.
    72. Alessie, Rob & Lusardi, Annamaria, 1997. "Saving and income smoothing: Evidence from panel data," European Economic Review, Elsevier, vol. 41(7), pages 1251-1279, July.
    73. Zvi Bodie & William Samuelson, 1989. "Labor Supply Flexibility and Portfolio Choice," NBER Working Papers 3043, National Bureau of Economic Research, Inc.
    74. Hans M. Amman & David A. Kendrick, . "Computational Economics," Online economics textbooks, SUNY-Oswego, Department of Economics, number comp1.
    75. Rust, John, 1996. "Numerical dynamic programming in economics," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 14, pages 619-729, Elsevier.
    76. Martin J. Beckmann, 1959. "A Dynamic Programming Model of the Consumption Function," Cowles Foundation Discussion Papers 68, Cowles Foundation for Research in Economics, Yale University.
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