IDEAS home Printed from https://ideas.repec.org/p/cpr/ceprdp/19080.html
   My bibliography  Save this paper

The design of insurance contracts for home versus nursing home Long-Term Care

Author

Listed:
  • Borsenberger, Claire
  • Cremer, Helmuth
  • Joram, Denis
  • Lozachmeur, Jean-Marie
  • Malavoltl, Estelle

Abstract

We study the design of optimal (private and/or social) insurance schemes for formal home care and institutional care. We consider a three period model. Individuals are either in good health, lightly dependent or heavily dependent. Lightly dependent individuals can buy formal home care which reduces the severity of dependency and reduces the probability to become severely dependent in the next period. Severely dependent individuals pay for nursing home care. In both states of dependency individuals can receive a (private or public) insurance benefit (transfers). These benefits can be flat or depend on the formal care consumed (or a combination of the two). These benefits are financed by a premium (or a tax). Individuals may be alive until the end of period 2 or die at the beginning of periods 1 or 2 with a certain probability which may depend on their state of health. The laissez faire is inefficient because individuals consume a too low level of formal home care and are not insured. The first-best insurances scheme requires a transfer to lightly dependent individuals that, (under some conditions) increases with the amount of formal home care consumed. Severely dependent individuals, on the other hand, must receive a flat transfer (from private or social insurance). The theoretical analysis is illustrated by a calibrated numerical example which show that the expressions have the expected signs under plausible conditions.

Suggested Citation

  • Borsenberger, Claire & Cremer, Helmuth & Joram, Denis & Lozachmeur, Jean-Marie & Malavoltl, Estelle, 2024. "The design of insurance contracts for home versus nursing home Long-Term Care," CEPR Discussion Papers 19080, C.E.P.R. Discussion Papers.
    • Handle: RePEc:cpr:ceprdp:19080
    as

    Download full text from publisher

    File URL: https://cepr.org/publications/DP19080
    Download Restriction: CEPR Discussion Papers are free to download for our researchers, subscribers and members. If you fall into one of these categories but have trouble downloading our papers, please contact us at subscribers@cepr.org
    ---><---

    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. 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.
    2. Cremer, Helmuth & Lozachmeur, Jean-Marie & Pestieau, Pierre, 2016. "The design of long term care insurance contracts," Journal of Health Economics, Elsevier, vol. 50(C), pages 330-339.
    3. Cremer, Helmuth & Roeder, Kerstin, 2017. "Social insurance with competitive insurance markets and risk misperception," Journal of Public Economics, Elsevier, vol. 146(C), pages 138-147.
    4. 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.
    5. 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).
    6. Daniel Barczyk & Matthias Kredler, 2018. "Evaluating Long-Term-Care Policy Options, Taking the Family Seriously," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(2), pages 766-809.
    7. 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.
    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. Justina Klimaviciute & Pierre Pestieau, 2018. "Long-term care social insurance: How to avoid big losses?," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 25(1), pages 99-139, February.
    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. Martin Eling & Omid Ghavibazoo, 2019. "Research on long-term care insurance: status quo and directions for future research," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 44(2), pages 303-356, April.
    4. repec:bla:annpce:v:89:y:2018:i:1:p:49-63 is not listed on IDEAS
    5. Chiara Canta & Helmuth Cremer, 2021. "Opting out and topping up reconsidered: Informal care under uncertain altruism," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 54(1), pages 259-283, February.
    6. Cremer Helmuth & Gahvari Firouz & Pestieau Pierre, 2013. "Endogenous Altruism, Redistribution, and Long-Term Care," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 14(2), pages 499-524, July.
    7. Akira Yakita, 2024. "Old-age support policy and fertility with strategic bequest motives," Journal of Population Economics, Springer;European Society for Population Economics, vol. 37(2), pages 1-23, June.
    8. Pestieau, Pierre & Ponthiere, Gregory, 2016. "The public economics of long term care," CEPR Discussion Papers 11365, C.E.P.R. Discussion Papers.
    9. Cremer Helmuth & Pestieau Pierre, 2018. "Means-Tested Long-Term Care and Family Transfers," German Economic Review, De Gruyter, vol. 19(3), pages 351-364, August.
    10. Canta, Chiara & Cremer, Helmuth, 2018. "Uncertain Altruism and Non-Linear Long-Term Care Policies," IZA Discussion Papers 11619, Institute of Labor Economics (IZA).
    11. Canta, Chiara & Cremer, Helmuth & Gahvari, Firouz, 2016. "Maybe "honor thy father and thy mother": uncertainfamily aid and the design of social long term care insurance," TSE Working Papers 16-685, Toulouse School of Economics (TSE).
    12. Pestieau, Pierre & Ponthiere, Gregory, 2016. "Long-term care and births timing," Journal of Health Economics, Elsevier, vol. 50(C), pages 340-357.
    13. Helmuth Cremer & Kerstin Roeder, 2013. "Long-Term Care and Lazy Rotten Kids," CESifo Working Paper Series 4372, CESifo.
    14. 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.
    15. Marie‐Louise Leroux & Gregory Ponthiere, 2020. "Nursing home choice, family bargaining, and optimal policy in a Hotelling economy," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(4), pages 899-932, August.
    16. Yakita, Akira, 2019. "Optimal long-term care policy in an intergenerational exchange setting," Research in Economics, Elsevier, vol. 73(4), pages 321-328.
    17. Chiara Canta & Helmuth Cremer & Firouz Gahvari, 2020. "“Honor thy father and thy mother” or not: uncertain family aid and the design of social long term care insurance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(4), pages 687-734, December.
    18. Helmuth Cremer & Pierre Pestieau, 2014. "Social long-term care insurance and redistribution," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 21(6), pages 955-974, December.
    19. Chiara Canta & Pierre Pestieau & Jérôme Schoenmaeckers, 2024. "Blood and gender bias in informal care within the family," Review of Economics of the Household, Springer, vol. 22(2), pages 595-631, June.
    20. Yakita, Akira, 2020. "Economic development and long-term care provision by families, markets and the state," The Journal of the Economics of Ageing, Elsevier, vol. 15(C).
    21. Claire Borsenberger & Helmuth Cremer & Denis Joram & Jean-Marie Lozachmeur & Estelle Malavolti, 2023. "Testing for fragility: a valuable public policy and an opportunity for postal operators," Working Papers hal-04088343, HAL.

    More about this item

    Keywords

    Long-term care insurance;

    JEL classification:

    • I13 - Health, Education, and Welfare - - Health - - - Health Insurance, Public and Private
    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health
    • H51 - Public Economics - - National Government Expenditures and Related Policies - - - Government Expenditures and Health

    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:cpr:ceprdp:19080. 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: the person in charge (email available below). General contact details of provider: https://www.cepr.org .

    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.