IDEAS home Printed from https://ideas.repec.org/p/gbl/wpaper/2022-05.html
   My bibliography  Save this paper

Conditioning public pensions on health: effects on capital accumulation and welfare

Author

Listed:
  • Giorgio Fabbri
  • Marie-Louise Leroux
  • Paolo Melindi-Ghidi
  • Willem Sas

Abstract

This paper develops an overlapping generations model which links a public health system to a pay-as-you-go (PAYG) pension system. It relies on two assumptions. First, the health system directly finances curative health spending on the elderly. Second, public pensions partially depend on health status during old age, by introducing a component which is indexed to society’s average level of disability. This way, reducing disability during old age lowers the pension benefit as the need to finance long-term care services also drops. We then study the effects of introducing such a ‘comprehensive’ social security system on individual decisions, capital accumulation, and welfare. We first show that under certain conditions, health investments can boost savings and capital accumulation in the long run. Second, we show that if individuals are sufficiently concerned with their health when old, it is optimal to introduce a health-dependant pension system, as this will raise social welfare compared to a system where pensions are not tied to the society’s average level of old-age disability. Our analysis thus highlights an important policy recommendation: making PAYG pension schemes partially health-dependent can be beneficial to society.

Suggested Citation

  • Giorgio Fabbri & Marie-Louise Leroux & Paolo Melindi-Ghidi & Willem Sas, 2022. "Conditioning public pensions on health: effects on capital accumulation and welfare," Working Papers 2022-05, Grenoble Applied Economics Laboratory (GAEL).
  • Handle: RePEc:gbl:wpaper:2022-05
    as

    Download full text from publisher

    File URL: https://gael.univ-grenoble-alpes.fr/sites/gael/files/doc-recherche/WP/A2022/gael2022-05.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Chiara Canta & Pierre Pestieau & Emmanuel Thibault, 2016. "Long-term care and capital accumulation: the impact of the State, the market and the family," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(4), pages 755-785, April.
    3. Philippe Donder & Marie-Louise Leroux, 2017. "The political choice of social long term care transfers when family gives time and money," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(3), pages 755-786, December.
    4. Philippe De Donder & Marie‐Louise Leroux, 2021. "Long term care insurance with state‐dependent preferences," Health Economics, John Wiley & Sons, Ltd., vol. 30(12), pages 3074-3086, December.
    5. David de la Croix & Omar Licandro, 2013. "The Child is Father Of the Man: Implications for the Demographic Transition," Economic Journal, Royal Economic Society, vol. 123(567), pages 236-261, March.
    6. de la Croix, David & Ponthiere, Gregory, 2010. "On the Golden Rule of capital accumulation under endogenous longevity," Mathematical Social Sciences, Elsevier, vol. 59(2), pages 227-238, March.
    7. Hung‐Ju Chen, 2018. "Fertility, retirement age, and pay‐as‐you‐go pensions," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 20(6), pages 944-961, December.
    8. Michael Kaganovich & Volker Meier, 2012. "Social Security Systems, Human Capital, and Growth in a Small Open Economy," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 14(4), pages 573-600, August.
    9. Hemmi, Noriyoshi & Tabata, Ken & Futagami, Koichi, 2007. "The long-term care problem, precautionary saving, and economic growth," Journal of Macroeconomics, Elsevier, vol. 29(1), pages 60-74, March.
    10. Dávila, Julio & Leroux, Marie-Louise, 2015. "Efficiency in overlapping generations economies with longevity choices and fair annuities," Journal of Macroeconomics, Elsevier, vol. 45(C), pages 363-383.
    11. Luciano Fanti & Luca Gori, 2014. "Endogenous fertility, endogenous lifetime and economic growth: the role of child policies," Journal of Population Economics, Springer;European Society for Population Economics, vol. 27(2), pages 529-564, April.
    12. Apouey, Bénédicte H., 2018. "Preparation for old age in France: The roles of preferences and expectations," The Journal of the Economics of Ageing, Elsevier, vol. 12(C), pages 15-23.
    13. Philippe De Donder & Pierre Pestieau, 2013. "Private, Social and Self-Insurance for Long-Term Care in the Presence of Family Help - A Political Economy Analysis," CESifo Working Paper Series 4352, CESifo.
    14. Karen A. Kopecky & Tatyana Koreshkova, 2014. "The Impact of Medical and Nursing Home Expenses on Savings," American Economic Journal: Macroeconomics, American Economic Association, vol. 6(3), pages 29-72, July.
    15. Siciliani Luigi, 2013. "The Economics of Long-Term Care," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 14(2), pages 343-375, August.
    16. Rowena A. Pecchenino & Patricia S. Pollard, 2005. "Aging, Myopia, and the Pay‐As‐You‐Go Public Pension Systems of the G7: A Bright Future?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 7(3), pages 449-470, August.
    17. Marie-Louise Leroux & Pierre Pestieau & Gregory Ponthiere, 2021. "Fair long-term care insurance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(3), pages 503-533, October.
    18. Ettner, Susan L., 1996. "New evidence on the relationship between income and health," Journal of Health Economics, Elsevier, vol. 15(1), pages 67-85, February.
    19. Canta Chiara & Pestieau Pierre, 2013. "Long-Term Care Insurance and Family Norms," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 14(2), pages 401-428, April.
    20. Douglas Gollin, 2002. "Getting Income Shares Right," Journal of Political Economy, University of Chicago Press, vol. 110(2), pages 458-474, April.
    21. Luca Gori & Luciano Fanti, 2007. "From the Malthusian to the Modern Growth Regime in an OLG Model with Unions," Economics Bulletin, AccessEcon, vol. 10(14), pages 1-10.
    22. Brown, Jeffrey R. & Finkelstein, Amy, 2007. "Why is the market for long-term care insurance so small?," Journal of Public Economics, Elsevier, vol. 91(10), pages 1967-1991, November.
    23. Robert E. Hall & Charles I. Jones, 2007. "The Value of Life and the Rise in Health Spending," The Quarterly Journal of Economics, Oxford University Press, vol. 122(1), pages 39-72.
    24. Balia, Silvia & Jones, Andrew M., 2008. "Mortality, lifestyle and socio-economic status," Journal of Health Economics, Elsevier, vol. 27(1), pages 1-26, January.
    25. Contoyannis, Paul & Jones, Andrew M., 2004. "Socio-economic status, health and lifestyle," Journal of Health Economics, Elsevier, vol. 23(5), pages 965-995, September.
    26. Pierre-André Jouvet & Pierre Pestieau & Gregory Ponthiere, 2010. "Longevity and environmental quality in an OLG model," Journal of Economics, Springer, vol. 100(3), pages 191-216, July.
    27. Grossmann Volker & Strulik Holger, 2019. "Optimal Social Insurance and Health Inequality," German Economic Review, De Gruyter, vol. 20(4), pages 913-948, December.
    28. Chakraborty, Shankha, 2004. "Endogenous lifetime and economic growth," Journal of Economic Theory, Elsevier, vol. 116(1), pages 119-137, May.
    29. Fanti, Luciano & Gori, Luca, 2011. "Public health spending, old-age productivity and economic growth: Chaotic cycles under perfect foresight," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1), pages 137-151.
    30. M. Martin Boyer & Philippe De Donder & Claude Fluet & Marie-Louise Leroux & Pierre-Carl Michaud, 2020. "Long-Term Care Insurance: Information Frictions and Selection," American Economic Journal: Economic Policy, American Economic Association, vol. 12(3), pages 134-169, August.
    31. Cremer Helmuth, 2014. "The Economics of Long-Term Care: An Introduction," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 14(2), pages 339-342, February.
    32. Jeffrey R. Brown & Amy Finkelstein, 2009. "The Private Market for Long‐Term Care Insurance in the United States: A Review of the Evidence," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(1), pages 5-29, March.
    33. Pauly, Mark V, 1990. "The Rational Nonpurchase of Long-term-Care Insurance," Journal of Political Economy, University of Chicago Press, vol. 98(1), pages 153-168, February.
    34. Pierre Pestieau & Motohiro Sato, 2008. "Long‐Term Care: the State, the Market and the Family," Economica, London School of Economics and Political Science, vol. 75(299), pages 435-454, August.
    35. Kaplan, G.A. & Seeman, T.E. & Cohen, R.D. & Knudsen, L.P. & Guralnik, J., 1987. "Mortality among the elderly in the Alameda County study: Behavioral and demographic risk factors," American Journal of Public Health, American Public Health Association, vol. 77(3), pages 307-312.
    36. Giam Cipriani, 2014. "Population aging and PAYG pensions in the OLG model," Journal of Population Economics, Springer;European Society for Population Economics, vol. 27(1), pages 251-256, January.
    37. Raquel Fonseca & François Langot & Pierre-Carl Michaud & Thepthida Sopraseuth, 2020. "Understanding Cross-Country Differences in Health Status and Expenditures," CIRANO Working Papers 2020s-16, CIRANO.
    38. Luciano Fanti & Luca Gori, 2012. "Fertility and PAYG pensions in the overlapping generations model," Journal of Population Economics, Springer;European Society for Population Economics, vol. 25(3), pages 955-961, July.
    39. de la Croix,David & Michel,Philippe, 2002. "A Theory of Economic Growth," Cambridge Books, Cambridge University Press, number 9780521001151.
    40. Ph. De Donder & P. Pestieau, 2017. "Private, Social, and Self-Insurance for Long-Term Care in the Presence of Family Help," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 19(1), pages 18-37, February.
    41. Alessandro Cigno & Martin Werding, 2007. "Children and Pensions," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262033690, December.
    42. Blackburn, Keith & Cipriani, Giam Pietro, 2002. "A model of longevity, fertility and growth," Journal of Economic Dynamics and Control, Elsevier, vol. 26(2), pages 187-204, February.
    43. Luciano Fanti & Luca Gori, 2011. "Public Health Spending and Unfunded Public Pensions in an OLG Model of Neoclassical Growth: Some New Results About the Poverty Trap Problem," Rivista italiana degli economisti, Società editrice il Mulino, issue 2, pages 319-338.
    44. repec:ebl:ecbull:v:10:y:2007:i:14:p:1-10 is not listed on IDEAS
    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. Paolo Melindi-Ghidi & Willem Sas, 2015. "Invest as You Go: How Public Health Investment Keeps Pension Systems Healthy," AMSE Working Papers 1525, Aix-Marseille School of Economics, France.
    2. Justina Klimaviciute & Pierre Pestieau, 2023. "The economics of long‐term care. An overview," Journal of Economic Surveys, Wiley Blackwell, vol. 37(4), pages 1192-1213, September.
    3. Philippe De Donder & Marie‐Louise Leroux, 2021. "Long term care insurance with state‐dependent preferences," Health Economics, John Wiley & Sons, Ltd., vol. 30(12), pages 3074-3086, December.
    4. Luciano Fanti & Luca Gori & Fabio Tramontana, 2014. "Endogenous lifetime, accidental bequests and economic growth," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(1), pages 81-98, April.
    5. Betti, Thierry & Lefebvre, Mathieu & Pestieau, Pierre, 2023. "Macroeconomics of aging," LIDAM Discussion Papers CORE 2023002, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Pierre Pestieau & Gregory Ponthiere, 2012. "The Public Economics of Increasing Longevity," Hacienda Pública Española / Review of Public Economics, IEF, vol. 200(1), pages 41-74, March.
    7. Gregory Ponthiere, 2013. "Fair Accumulation under Risky Lifetime," Scottish Journal of Political Economy, Scottish Economic Society, vol. 60(2), pages 210-230, May.
    8. repec:bla:annpce:v:89:y:2018:i:1:p:49-63 is not listed on IDEAS
    9. Luciano Fanti & Luca Gori, 2014. "Endogenous fertility, endogenous lifetime and economic growth: the role of child policies," Journal of Population Economics, Springer;European Society for Population Economics, vol. 27(2), pages 529-564, April.
    10. Gori, Luca & Manfredi, Piero & Sodini, Mauro, 2021. "A Parsimonious Model Of Longevity, Fertility, Hiv Transmission And Development," Macroeconomic Dynamics, Cambridge University Press, vol. 25(5), pages 1155-1174, July.
    11. David Croix & Pierre Pestieau & Grégory Ponthière, 2012. "How powerful is demography? The Serendipity Theorem revisited," Journal of Population Economics, Springer;European Society for Population Economics, vol. 25(3), pages 899-922, July.
    12. Chiara Canta & Pierre Pestieau & Emmanuel Thibault, 2016. "Long-term care and capital accumulation: the impact of the State, the market and the family," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(4), pages 755-785, April.
    13. Luciano Fanti & Luca Gori, 2012. "Public Expenditure on Health and Private Old-Age Insurance in an OLG Growth Model with Endogenous Fertility: Chaotic Dynamics Under Perfect Foresight," Computational Economics, Springer;Society for Computational Economics, vol. 40(4), pages 333-353, December.
    14. Pestieau, Pierre & Ponthiere, Gregory, 2016. "Longevity Variations And The Welfare State," Journal of Demographic Economics, Cambridge University Press, vol. 82(2), pages 207-239, June.
    15. Thibault, Emmanuel & Ponthieres, Grégory, 2023. "Life Expectancy, Income and Long-Term Care: The Preston Curve Reexamined," TSE Working Papers 23-1474, Toulouse School of Economics (TSE).
    16. Luciano Fanti & Luca Gori, 2013. "Fertility-related pensions and cyclical instability," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(3), pages 1209-1232, July.
    17. Philippe De Donder & Marie-Louise Leroux & François Salanié, 2023. "Advantageous selection without moral hazard," Journal of Risk and Uncertainty, Springer, vol. 67(1), pages 21-43, August.
    18. Dávila, Julio & Leroux, Marie-Louise, 2015. "Efficiency in overlapping generations economies with longevity choices and fair annuities," Journal of Macroeconomics, Elsevier, vol. 45(C), pages 363-383.
    19. Luciano Fanti & Luca Gori, 2010. "A two-sector overlapping generations economy: economic growth and multiple equilibria," Discussion Papers 2010/100, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    20. Philippe De Donder & Marie-Louise Leroux & François Salanié, 2022. "Advantageous Selection Without Moral Hazard (with an Application to Life Care Annuities)," CESifo Working Paper Series 9764, CESifo.
    21. Gori, Luca & Sodini, Mauro, 2020. "Endogenous labour supply, endogenous lifetime and economic development," Structural Change and Economic Dynamics, Elsevier, vol. 52(C), pages 238-259.

    More about this item

    Keywords

    Curative Health Investments; PAYG Pension System; Disability; Overlapping Generations; Long-term Care;
    All these keywords.

    JEL classification:

    • H55 - Public Economics - - National Government Expenditures and Related Policies - - - Social Security and Public Pensions
    • I15 - Health, Education, and Welfare - - Health - - - Health and Economic Development
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

    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:gbl:wpaper:2022-05. 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: Adrien Hervouet (email available below). General contact details of provider: https://edirc.repec.org/data/inragfr.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.