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Social long-term care insurance and redistribution

Author

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  • Helmuth Cremer

    () (GREMAQ - Groupe de recherche en économie mathématique et quantitative - CNRS - Centre National de la Recherche Scientifique - EHESS - École des hautes études en sciences sociales - INRA - Institut National de la Recherche Agronomique - UT1 - Université Toulouse 1 Capitole, TSE - Toulouse School of Economics - UT1 - Université Toulouse 1 Capitole - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - CNRS - Centre National de la Recherche Scientifique)

  • Pierre Pestieau

    (PSE - Paris School of Economics - ENPC - École des Ponts ParisTech - ENS Paris - École normale supérieure - Paris - PSL - Université Paris sciences et lettres - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique - EHESS - École des hautes études en sciences sociales - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, PSE - Paris-Jourdan Sciences Economiques - CNRS - Centre National de la Recherche Scientifique - ENPC - École des Ponts ParisTech - EHESS - École des hautes études en sciences sociales - INRA - Institut National de la Recherche Agronomique - ENS Paris - École normale supérieure - Paris - PSL - Université Paris sciences et lettres, CORE - Center of Operation Research and Econometrics [Louvain] - UCL - Université Catholique de Louvain, CEPR - Center for Economic Policy Research - CEPR)

Abstract

We study the role of social long-term care (LTC) insurance when income taxation and private insurance markets are imperfect. Policy instruments include public provision of LTC as well as a subsidy on private insurance. The subsidy scheme may be linear or nonlinear. For the linear part we consider an arbitrary number of types, characterized by earnings and survival probabilities. In the nonlinear part, society consists of three types: poor, middle class and rich. The first type is too poor to provide for dependence; the middle class type purchases private insurance and the high income type is self-insured. The main questions are at what level LTC should be provided to the poor and whether it is desirable to subsidize private LTC for the middle class. Interestingly, the results are not totally similar under both linear and nonlinear schemes. First, whereas in the linear case a subsidy of private LTC insurance is desirable, it is not in the nonlinear case (at least at the margin). Second, the desirability of public provision of LTC services depends on the way the income tax is restricted. In the linear case, it may be desirable only if no demogrant (uniform lump-sum transfer) is available. In the nonlinear case, public provision is desirable when the income tax is sufficiently restricted. Specifically, this is the case when the income is subject only to a proportional payroll tax while the LTC reimbursement policy can be nonlinear.

Suggested Citation

  • Helmuth Cremer & Pierre Pestieau, 2014. "Social long-term care insurance and redistribution," PSE-Ecole d'économie de Paris (Postprint) halshs-01157447, HAL.
  • Handle: RePEc:hal:pseptp:halshs-01157447
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-01157447
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    References listed on IDEAS

    as
    1. Cremer, Helmuth & Roeder, Kerstin, 2013. "Long-term care policy, myopia and redistribution," Journal of Public Economics, Elsevier, vol. 108(C), pages 33-43.
    2. Alain Jousten & Barbara Lipszyc & Maurice Marchand & Pierre Pestieau, 2005. "Long-term Care Insurance and Optimal Taxation for Altruistic Children," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 61(1), pages 1-18, March.
    3. Helmuth Cremer & Pierre Pestieau, 1996. "Redistributive taxation and social insurance," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 3(3), pages 281-295, July.
    4. Cremer, Helmuth & Gahvari, Firouz & Pestieau, Pierre, 2017. "Uncertain altruism and the provision of long term care," Journal of Public Economics, Elsevier, vol. 151(C), pages 12-24.
    5. 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.
    6. CREMER, Helmuth & PESTIEAU, Pierre & PONTHIERE, Grégory, 2012. "The economics of long-term care: a survey," LIDAM Discussion Papers CORE 2012030, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Varian, Hal R., 1980. "Redistributive taxation as social insurance," Journal of Public Economics, Elsevier, vol. 14(1), pages 49-68, August.
    8. Diamond, P. A., 1975. "A many-person Ramsey tax rule," Journal of Public Economics, Elsevier, vol. 4(4), pages 335-342, November.
    9. 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.
    10. 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.
    11. repec:cor:louvrp:-1753 is not listed on IDEAS
    12. Cremer, Helmuth & Gahvari, Firouz, 1995. "Uncertainty, Optimal Taxation and the Direct versus Indirect Tax Controversy," Economic Journal, Royal Economic Society, vol. 105(432), pages 1165-1179, September.
    13. Besley, Timothy & Coate, Stephen, 1991. "Public Provision of Private Goods and the Redistribution of Income," American Economic Review, American Economic Association, vol. 81(4), pages 979-984, September.
    14. Jonathan Eaton & Harvey S. Rosen, 1980. "Optimal Redistributive Taxation and Uncertainty," The Quarterly Journal of Economics, Oxford University Press, vol. 95(2), pages 357-364.
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    Cited by:

    1. Philippe De Donder & Marie-Louise Leroux, 2019. "Long Term Care Insurance with State-Dependent Preferences," CESifo Working Paper Series 8017, CESifo.
    2. Marie-Louise Leroux & Pierre Pestieau, 2020. "Age-related taxation of bequests in the presence of a dependency risk," Cahiers de recherche / Working Papers 2007, Chaire de recherche sur les enjeux économiques intergénérationnels / Research Chair in Intergenerational Economics.
    3. Masaya Yasuoka, 2014. "Financing Elderly Care Service Subsidies horizontally differentiated duopoly," Discussion Paper Series 122, School of Economics, Kwansei Gakuin University, revised Oct 2014.
    4. Marie-Louise Leroux & Pierre Pestieau, 2020. "Age-Related Taxation of Bequests in the Presence of a Dependency Risk," CIRANO Working Papers 2020s-55, CIRANO.
    5. Cremer, Helmuth & Gahvari, Firouz & Pestieau, Pierre, 2017. "Uncertain altruism and the provision of long term care," Journal of Public Economics, Elsevier, vol. 151(C), pages 12-24.
    6. 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.
    7. Drèze, Jacques H. & Pestieau, Pierre & Schokkaert, Erik, 2016. "Arrow’s theorem of the deductible and long-term care insurance," Economics Letters, Elsevier, vol. 148(C), pages 103-105.
    8. Cremer, Helmuth & Roeder, Kerstin, 2013. "Long-term care policy, myopia and redistribution," Journal of Public Economics, Elsevier, vol. 108(C), pages 33-43.
    9. Marie-Louise Leroux & Pierre Pestieau, 2020. "Age-Related Taxation of Bequests in the Presence of a Dependency Risk," CESifo Working Paper Series 8642, CESifo.
    10. repec:bla:annpce:v:89:y:2018:i:1:p:49-63 is not listed on IDEAS
    11. Masaya Yasuoka, 2019. "Should Public Elderly Care Be Provided?," Economics Bulletin, AccessEcon, vol. 39(1), pages 564-570.
    12. Masaya Yasuoka, 2019. "Elderly care service in an aging society," Journal of Economic Studies, Emerald Group Publishing, vol. 46(1), pages 18-34, January.
    13. Atsushi Miyake & Masaya Yasuoka, 2016. "Which Should the Government Subsidize: Child Care or Elderly Care?," Discussion Paper Series 144, School of Economics, Kwansei Gakuin University, revised Jun 2016.
    14. Casamatta, G. & Batté, L., 2016. "The Political Economy of Population Aging," Handbook of the Economics of Population Aging, in: Piggott, John & Woodland, Alan (ed.),Handbook of the Economics of Population Aging, edition 1, volume 1, chapter 0, pages 381-444, Elsevier.
    15. Leroux, Marie-Louise & Pestieau, Pierre, 2020. "Age-related taxation of bequests in the presence of a dependency risk," LIDAM Discussion Papers CORE 2020031, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

    More about this item

    Keywords

    Long-term Care; Social insurance;

    JEL classification:

    • H50 - Public Economics - - National Government Expenditures and Related Policies - - - General
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies

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