IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v158y2015ipap186-212.html
   My bibliography  Save this article

Optimal choice of health and retirement in a life-cycle model

Author

Listed:
  • Kuhn, Michael
  • Wrzaczek, Stefan
  • Prskawetz, Alexia
  • Feichtinger, Gustav

Abstract

We examine within a life-cycle model the simultaneous choice of health care and retirement (together with consumption). Health tends to have an impact on retirement through morbidity, determining earnings and the disutility of work, and through longevity, determining the need to accumulate retirement wealth. Conversely, the age of retirement drives the demand for health care through the value of survival and the value of morbidity reductions. We characterise the optimal relationship between health expenditure and retirement and apply our model to analyse the effects of moral hazard in the annuity market. While moral hazard always induces excessive health investments and an excessive duration of working life, it also triggers an excessive level of consumption if the impact of health on the disutility of work is sufficiently large. We examine a transfer scheme and mandatory retirement as policies towards curtailing moral hazard. Numerical analysis illustrates the role of moral hazard in shaping the life-cycle allocation.

Suggested Citation

  • Kuhn, Michael & Wrzaczek, Stefan & Prskawetz, Alexia & Feichtinger, Gustav, 2015. "Optimal choice of health and retirement in a life-cycle model," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 186-212.
    • Handle: RePEc:eee:jetheo:v:158:y:2015:i:pa:p:186-212
    DOI: 10.1016/j.jet.2015.04.006
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022053115000757
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jet.2015.04.006?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Boucekkine, Raouf & Saglam, Cagri & Valléee, Thomas, 2004. "Technology Adoption Under Embodiment: A Two-Stage Optimal Control Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 8(2), pages 250-271, April.
    2. Tomas J. Philipson & Gary S. Becker, 1998. "Old-Age Longevity and Mortality-Contingent Claims," Journal of Political Economy, University of Chicago Press, vol. 106(3), pages 551-573, June.
    3. Lindeboom, Maarten & van der Klaauw, Bas & Llena-Nozal, Ana, 2006. "Disability and Work: The Role of Health Shocks and Childhood Circumstances," CEPR Discussion Papers 5685, C.E.P.R. Discussion Papers.
    4. Titus Galama & Arie Kapteyn & Raquel Fonseca Benito & Pierre-Carl Michaud, 2009. "Grossman's Health Threshold and Retirement," Working Papers 658, RAND Corporation.
    5. Dieter Grass & Jonathan P. Caulkins & Gustav Feichtinger & Gernot Tragler & Doris A. Behrens, 2008. "Optimal Control of Nonlinear Processes," Springer Books, Springer, number 978-3-540-77647-5, September.
    6. Helmuth Cremer & Jean-Marie Lozachmeur & Pierre Pestieau, 2006. "Retirement age and health expenditures," Annals of Economics and Statistics, GENES, issue 83-84, pages 167-186.
    7. dʼAlbis, Hippolyte & Lau, Sau-Him Paul & Sánchez-Romero, Miguel, 2012. "Mortality transition and differential incentives for early retirement," Journal of Economic Theory, Elsevier, vol. 147(1), pages 261-283.
    8. Liran Einav & Amy Finkelstein & Paul Schrimpf, 2010. "Optimal Mandates and the Welfare Cost of Asymmetric Information: Evidence From the U.K. Annuity Market," Econometrica, Econometric Society, vol. 78(3), pages 1031-1092, May.
    9. Birchenall, Javier A. & Soares, Rodrigo R., 2009. "Altruism, fertility, and the value of children: Health policy evaluation and intergenerational welfare," Journal of Public Economics, Elsevier, vol. 93(1-2), pages 280-295, February.
    10. Disney, Richard, 2000. "Crises in Public Pension Programmes in OECD: What Are the Reform Options?," Economic Journal, Royal Economic Society, vol. 110(461), pages 1-23, February.
    11. Leung, Siu Fai, 1994. "Uncertain Lifetime, the Theory of the Consumer, and the Life Cycle Hypothesis," Econometrica, Econometric Society, vol. 62(5), pages 1233-1239, September.
    12. Tomas J. Philipson & Gary Becker & Dana Goldman & Kevin M. Murphy, 2010. "Terminal Care and The Value of Life Near Its End," NBER Working Papers 15649, National Bureau of Economic Research, Inc.
    13. Andreas Kuhn & Jean-Philippe Wuellrich & Josef Zweim�ller, 2010. "Fatal attraction? Access to early retirement and mortality," IEW - Working Papers 499, Institute for Empirical Research in Economics - University of Zurich.
    14. Rosen, Sherwin, 1988. "The Value of Changes in Life Expectancy," Journal of Risk and Uncertainty, Springer, vol. 1(3), pages 285-304, September.
    15. Carl-Johan Dalgaard & Holger Strulik, 2014. "Optimal Aging And Death: Understanding The Preston Curve," Journal of the European Economic Association, European Economic Association, vol. 12(3), pages 672-701, June.
    16. Leung, Siu Fai, 2007. "The existence, uniqueness, and optimality of the terminal wealth depletion time in life-cycle models of saving under uncertain lifetime and borrowing constraint," Journal of Economic Theory, Elsevier, vol. 134(1), pages 470-493, May.
    17. Lumsdaine, Robin L. & Mitchell, Olivia S., 1999. "New developments in the economic analysis of retirement," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 49, pages 3261-3307, Elsevier.
    18. Cawley, John & Ruhm, Christopher J., 2011. "The Economics of Risky Health Behaviors," Handbook of Health Economics, in: Mark V. Pauly & Thomas G. Mcguire & Pedro P. Barros (ed.), Handbook of Health Economics, volume 2, chapter 0, pages 95-199, Elsevier.
    19. Breyer, Friedrich & Kifmann, Mathias, 2002. "Incentives to retire later – a solution to the social security crisis?," Journal of Pension Economics and Finance, Cambridge University Press, vol. 1(2), pages 111-130, July.
    20. Jonathan Gruber & David A. Wise, 2004. "Social Security Programs and Retirement around the World: Micro-Estimation," NBER Books, National Bureau of Economic Research, Inc, number grub04-1, March.
    21. repec:dau:papers:123456789/6825 is not listed on IDEAS
    22. Marcel Kerkhofs & Maarten Lindeboom, 1997. "Age related health dynamics and changes in labour market status," Health Economics, John Wiley & Sons, Ltd., vol. 6(4), pages 407-423, July.
    23. Eric French, 2005. "The Effects of Health, Wealth, and Wages on Labour Supply and Retirement Behaviour," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(2), pages 395-427.
    24. Heijdra, Ben J. & Romp, Ward E., 2009. "Retirement, pensions, and ageing," Journal of Public Economics, Elsevier, vol. 93(3-4), pages 586-604, April.
    25. Bound, John & Schoenbaum, Michael & Stinebrickner, Todd R. & Waidmann, Timothy, 1999. "The dynamic effects of health on the labor force transitions of older workers," Labour Economics, Elsevier, vol. 6(2), pages 179-202, June.
    26. Sebnem Kalemli-Ozcan & David N. Weil, 2001. "Mortality Change, the Uncertainty Effect, and Retirement," Working Papers 2001-47, Brown University, Department of Economics.
    27. Tomas J. Philipson & Gary Becker & Dana Goldman & Kevin M. Murphy, 2010. "Terminal Care and The Value of Life Near Its End," NBER Working Papers 15649, National Bureau of Economic Research, Inc.
    28. Coe, Norma B. & Zamarro, Gema, 2011. "Retirement effects on health in Europe," Journal of Health Economics, Elsevier, vol. 30(1), pages 77-86, January.
    29. Wolfe, John R, 1985. "A Model of Declining Health and Retirement," Journal of Political Economy, University of Chicago Press, vol. 93(6), pages 1258-1267, December.
    30. Robert Fenge & Pierre Pestieau, 2005. "Social Security and Early Retirement," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262062496, December.
    31. Bloom, David E. & Canning, David & Mansfield, Richard K. & Moore, Michael, 2007. "Demographic change, social security systems, and savings," Journal of Monetary Economics, Elsevier, vol. 54(1), pages 92-114, January.
    32. Lichtenberg, Frank R., 2004. "Sources of U.S. longevity increase, 1960-2001," The Quarterly Review of Economics and Finance, Elsevier, vol. 44(3), pages 369-389, July.
    33. 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.
    34. Disney, Richard & Emmerson, Carl & Wakefield, Matthew, 2006. "Ill health and retirement in Britain: A panel data-based analysis," Journal of Health Economics, Elsevier, vol. 25(4), pages 621-649, July.
    35. Johansson, Per-Olov, 2002. "On the Definition and Age-Dependency of the Value of a Statistical Life," Journal of Risk and Uncertainty, Springer, vol. 25(3), pages 251-263, November.
    36. Johansson, Per-Olov, 2002. "On the Definition and Age-Dependency of the Value of a Statistical Life. A Review and Extension," SSE/EFI Working Paper Series in Economics and Finance 490, Stockholm School of Economics, revised 29 Jan 2002.
    37. Cremer, Helmuth & Lozachmeur, Jean-Marie & Pestieau, Pierre, 2004. "Social security, retirement age and optimal income taxation," Journal of Public Economics, Elsevier, vol. 88(11), pages 2259-2281, September.
    38. Boucekkine, Raouf & de la Croix, David & Licandro, Omar, 2002. "Vintage Human Capital, Demographic Trends, and Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 104(2), pages 340-375, June.
    39. Davies, James B. & Kuhn, Peter, 1992. "Social security, longevity, and moral hazard," Journal of Public Economics, Elsevier, vol. 49(1), pages 91-106, October.
    40. Ehrlich, Isaac & Chuma, Hiroyuki, 1990. "A Model of the Demand for Longevity and the Value of Life Extension," Journal of Political Economy, University of Chicago Press, vol. 98(4), pages 761-782, August.
    41. Peter Zweifel & Lukas Steinmann & Patrick Eugster, 2005. "The Sisyphus Syndrome in Health Revisited," International Journal of Health Economics and Management, Springer, vol. 5(2), pages 127-145, June.
    42. Sánchez-Romero, Miguel & d׳Albis, Hippolyte & Prskawetz, Alexia, 2016. "Education, lifetime labor supply, and longevity improvements," Journal of Economic Dynamics and Control, Elsevier, vol. 73(C), pages 118-141.
    43. Kathleen McGarry, 2004. "Health and Retirement: Do Changes in Health Affect Retirement Expectations?," Journal of Human Resources, University of Wisconsin Press, vol. 39(3).
    44. Mark V. Pauly & Thomas G. Mcguire & Pedro P. Barros (ed.), 2011. "Handbook of Health Economics," Handbook of Health Economics, Elsevier, volume 2, number 2.
    45. Badi Baltagi & Francesco Moscone & Elisa Tosetti, 2012. "Medical technology and the production of health care," Empirical Economics, Springer, vol. 42(2), pages 395-411, April.
    46. Borsch-Supan, Axel, 2000. "Incentive effects of social security on labor force participation: evidence in Germany and across Europe," Journal of Public Economics, Elsevier, vol. 78(1-2), pages 25-49, October.
    47. 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.
    48. Sebnem Kalemli-Ozcan & David Weil, 2010. "Mortality change, the uncertainty effect, and retirement," Journal of Economic Growth, Springer, vol. 15(1), pages 65-91, March.
    49. Freund, Inga & Mahlberg, Bernhard & Prskawetz, Alexia, 2011. "A matched employer-employee panel data set for Austria: 2002 - 2005," ECON WPS - Working Papers in Economic Theory and Policy 01/2011, TU Wien, Institute of Statistics and Mathematical Methods in Economics, Economics Research Unit.
    50. Amy Finkelstein & James Poterba, 2004. "Adverse Selection in Insurance Markets: Policyholder Evidence from the U.K. Annuity Market," Journal of Political Economy, University of Chicago Press, vol. 112(1), pages 183-208, February.
    51. Coe, N.B. & Lindeboom, M., 2008. "Does Retirement Kill You? Evidence from Early Retirement Windows," Other publications TiSEM 749af81e-10f6-4c32-b9ae-0, Tilburg University, School of Economics and Management.
    52. David E. Bloom & David Canning & Michael Moore, 2007. "A Theory of Retirement," NBER Working Papers 13630, National Bureau of Economic Research, Inc.
    53. Tomas J. Philipson & William H. Dow & Xavier Sala-i-Martin, 1999. "Longevity Complementarities under Competing Risks," American Economic Review, American Economic Association, vol. 89(5), pages 1358-1371, December.
    54. Kuhn, Michael & Wrzaczek, Stefan & Prskawetz, Alexia & Feichtinger, Gustav, 2011. "Externalities in a life cycle model with endogenous survival," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 627-641.
    55. Grossman, Michael, 1972. "On the Concept of Health Capital and the Demand for Health," Journal of Political Economy, University of Chicago Press, vol. 80(2), pages 223-255, March-Apr.
    56. 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.
    57. Pierre‐Yves Crémieux & Pierre Ouellette & Caroline Pilon, 1999. "Health care spending as determinants of health outcomes," Health Economics, John Wiley & Sons, Ltd., vol. 8(7), pages 627-639, November.
    58. Kerkhofs, Marcel & Lindeboom, Maarten & Theeuwes, Jules, 1999. "Retirement, financial incentives and health," Labour Economics, Elsevier, vol. 6(2), pages 203-227, June.
    59. Dwyer, Debra Sabatini & Mitchell, Olivia S., 1999. "Health problems as determinants of retirement: Are self-rated measures endogenous?," Journal of Health Economics, Elsevier, vol. 18(2), pages 173-193, April.
    60. Carl-Johan Dalgaard & Holger Strulik, 2017. "The Genesis of the Golden Age: Accounting for the Rise in Health and Leisure," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 24, pages 132-151, March.
    61. Kuhn, Michael & Wrzaczek, Stefan & Oeppen, Jim, 2010. "Recognizing progeny in the value of life," Economics Letters, Elsevier, vol. 107(1), pages 17-21, April.
    62. David E. Bloom & David Canning & Michael Moore, 2014. "Optimal Retirement with Increasing Longevity," Scandinavian Journal of Economics, Wiley Blackwell, vol. 116(3), pages 838-858, July.
    63. Mr. Hamid Faruqee, 2002. "Population Aging and its Macroeconomic Implications: A Framework for Analysis," IMF Working Papers 2002/016, International Monetary Fund.
    64. Maarten Lindeboom & Marcel Kerkhofs, 2009. "Health and work of the elderly: subjective health measures, reporting errors and endogeneity in the relationship between health and work," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(6), pages 1024-1046.
    65. Dhaval Dave & R. Inas Rashad & Jasmina Spasojevic, 2008. "The Effects of Retirement on Physical and Mental Health Outcomes," Southern Economic Journal, John Wiley & Sons, vol. 75(2), pages 497-523, October.
    66. John Bound & Timothy Waidmann, 2007. "Estimating the Health Effects of Retirements," Working Papers wp168, University of Michigan, Michigan Retirement Research Center.
    67. Titus Galama & Arie Kapteyn & Raquel Fonseca & Pierre‐Carl Michaud, 2013. "A Health Production Model With Endogenous Retirement," Health Economics, John Wiley & Sons, Ltd., vol. 22(8), pages 883-902, August.
    68. Stefanie Behncke, 2012. "Does retirement trigger ill health?," Health Economics, John Wiley & Sons, Ltd., vol. 21(3), pages 282-300, March.
    69. Tomiyama, Ken, 1985. "Two-stage optimal control problems and optimality conditions," Journal of Economic Dynamics and Control, Elsevier, vol. 9(3), pages 317-337, November.
    70. Dhaval Dave & Inas Rashad & Jasmina Spasojevic, 2006. "The Effects of Retirement on Physical and Mental Health Outcomes," NBER Working Papers 12123, National Bureau of Economic Research, Inc.
    71. Jones, Andrew M. & Rice, Nigel & Roberts, Jennifer, 2010. "Sick of work or too sick to work? Evidence on self-reported health shocks and early retirement from the BHPS," Economic Modelling, Elsevier, vol. 27(4), pages 866-880, July.
    72. Titus Galama & Arie Kapteyn & Raquel Fonseca Benito & Pierre-Carl Michaud, 2009. "Grossman's Health Threshold and Retirement," Working Papers WR-658, RAND Corporation.
    73. repec:adr:anecst:y:2006:i:83-84:p:07 is not listed on IDEAS
    74. Ehrlich, Isaac, 2000. "Uncertain lifetime, life protection, and the value of life saving," Journal of Health Economics, Elsevier, vol. 19(3), pages 341-367, May.
    75. Donald S. Shepard & Richard J. Zeckhauser, 1984. "Survival versus Consumption," Management Science, INFORMS, vol. 30(4), pages 423-439, April.
    Full references (including those not matched with items on IDEAS)

    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. Michael Kuhn & Alexia Prskawetz & Uwe Sunde, 2014. "Health, education, and retirement over the prolonged life cycle: a selective survey of recent research," Vienna Yearbook of Population Research, Vienna Institute of Demography (VID) of the Austrian Academy of Sciences in Vienna, vol. 12(1), pages 1-22.
    2. Kuhn, Michael & Frankovic, Ivan & Wrzaczek, Stefan, 2017. "Medical Progress, Demand for Health Care, and Economic Performance," VfS Annual Conference 2017 (Vienna): Alternative Structures for Money and Banking 168249, Verein für Socialpolitik / German Economic Association.
    3. Kuhn, Michael & Wrzaczek, Stefan & Prskawetz, Alexia & Feichtinger, Gustav, 2011. "Externalities in a life cycle model with endogenous survival," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 627-641.
    4. Frankovic, Ivan & Kuhn, Michael & Wrzaczek, Stefan, 2016. "Medical care within an OLG economy with realistic demography," ECON WPS - Working Papers in Economic Theory and Policy 02/2016, TU Wien, Institute of Statistics and Mathematical Methods in Economics, Economics Research Unit.
    5. Carl-Johan Dalgaard & Holger Strulik, 2017. "The Genesis of the Golden Age: Accounting for the Rise in Health and Leisure," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 24, pages 132-151, March.
    6. Eric French & John Bailey Jones, 2017. "Health, Health Insurance, and Retirement: A Survey," Annual Review of Economics, Annual Reviews, vol. 9(1), pages 383-409, September.
    7. Owen O'Donnell & Eddy Van Doorslaer & Tom Van Ourti, 2013. "Health and Inequality," Tinbergen Institute Discussion Papers 13-170/V, Tinbergen Institute.
    8. Ivan Frankovic & Michael Kuhn & Stefan Wrzaczek, 2020. "On the Anatomy of Medical Progress Within an Overlapping Generations Economy," De Economist, Springer, vol. 168(2), pages 215-257, June.
    9. Maik T. Schneider & Ralph Winkler, 2021. "Growth and Welfare under Endogenous Lifetimes," Scandinavian Journal of Economics, Wiley Blackwell, vol. 123(4), pages 1339-1384, October.
    10. Ryan Edwards, 2013. "The cost of uncertain life span," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(4), pages 1485-1522, October.
    11. Maarten Lindeboom, 2012. "Health and Work of Older Workers," Chapters, in: Andrew M. Jones (ed.), The Elgar Companion to Health Economics, Second Edition, chapter 3, Edward Elgar Publishing.
    12. Aspen Gorry & Devon Gorry & Sita Nataraj Slavov, 2018. "Does retirement improve health and life satisfaction?," Health Economics, John Wiley & Sons, Ltd., vol. 27(12), pages 2067-2086, December.
    13. Volker Grossmann & Holger Strulik, 2019. "Optimal Social Insurance and Health Inequality," German Economic Review, Verein für Socialpolitik, vol. 20(4), pages 913-948, November.
    14. Strulik, Holger, 2015. "Frailty, mortality, and the demand for medical care," The Journal of the Economics of Ageing, Elsevier, vol. 6(C), pages 5-12.
    15. Daniel Bauer & Darius Lakdawalla & Julian Reif, 2018. "Mortality Risk, Insurance, and the Value of Life," NBER Working Papers 25055, National Bureau of Economic Research, Inc.
    16. Thomas Barnay, 2016. "Health, work and working conditions: a review of the European economic literature," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 17(6), pages 693-709, July.
    17. Antoine Bozio & Clémentine Garrouste & Elsa Perdrix, 2021. "Impact of later retirement on mortality: Evidence from France," Health Economics, John Wiley & Sons, Ltd., vol. 30(5), pages 1178-1199, May.
    18. 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.
    19. Gorry, Devon & Slavov, Sita Nataraj, 2021. "The effect of retirement on health biomarkers," Economics & Human Biology, Elsevier, vol. 40(C).
    20. Pelgrin, Florian & St-Amour, Pascal, 2016. "Life cycle responses to health insurance status," Journal of Health Economics, Elsevier, vol. 49(C), pages 76-96.

    More about this item

    Keywords

    Annuities; Health; Moral hazard; Life-cycle model; Retirement; Value of life;
    All these keywords.

    JEL classification:

    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • I12 - Health, Education, and Welfare - - Health - - - Health Behavior
    • J26 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Retirement; Retirement Policies

    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:eee:jetheo:v:158:y:2015:i:pa:p:186-212. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622869 .

    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.