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Insurance with a deductible: a way out of the long term care insurance puzzle

Author

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  • Klimaviciute, Justina
  • Pestieau, Pierre

    (Université catholique de Louvain, LIDAM/CORE, Belgium)

Abstract

Long-term care (LTC) is one of the largest uninsured risks facing the elderly. In this paper, we first survey the standard causes of what has been dubbed the LTC insurance puzzle and then suggest that a possible way out of this puzzle is to make the reimbursement formula less threatening for those who fear a too long period of dependence. We adopt a reimbursement formula resting on Arrow’s theorem of the deductible, i.e. that it is optimal to focus insurance coverage on the states with largest expenditures. It implies full self-insurance for the first years of dependency followed by full insurance thereafter. We show that this result remains at work with ex post moral hazard.

Suggested Citation

  • Klimaviciute, Justina & Pestieau, Pierre, 2021. "Insurance with a deductible: a way out of the long term care insurance puzzle," LIDAM Reprints CORE 3158, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvrp:3158
    DOI: https://doi.org/10.1007/s00712-020-00700-0
    Note: In: Journal of Economics, 2020, 130, p. 297-307
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    References listed on IDEAS

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    1. Pierre Pestieau & Gregory Ponthière, 2012. "Long-Term Care Insurance Puzzle," Palgrave Macmillan Books, in: Joan Costa-Font & Christophe Courbage (ed.), Financing Long-Term Care in Europe, chapter 3, pages 41-52, Palgrave Macmillan.
    2. Martin Boyer & Philippe Donder & Claude Fluet & Marie-Louise Leroux & Pierre-Carl Michaud, 2019. "Long-term care risk misperceptions," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 44(2), pages 183-215, April.
    3. Jacques Drèze & Erik Schokkaert, 2013. "Arrow’s theorem of the deductible: Moral hazard and stop-loss in health insurance," Journal of Risk and Uncertainty, Springer, vol. 47(2), pages 147-163, October.
    4. 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.
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    6. Richard G. Frank, 2012. "Long-term Care Financing in the United States: Sources and Institutions," Applied Economic Perspectives and Policy, Agricultural and Applied Economics Association, vol. 34(2), pages 333-345.
    7. Justina Klimaviciute, 2017. "Long-Term Care Insurance and Intra-family Moral Hazard: Fixed vs Proportional Insurance Benefits," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 42(2), pages 87-116, September.
    8. 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.
    9. David M. Cutler, 1993. "Why Doesn't the Market Fully Insure Long-Term Care?," NBER Working Papers 4301, National Bureau of Economic Research, Inc.
    10. Richard G. Frank, 2012. "Long-term Care Financing in the United States: Sources and Institutions," Applied Economic Perspectives and Policy, Agricultural and Applied Economics Association, vol. 34(2), pages 333-345.
    11. Saurabh Bhargava & George Loewenstein & Justin Sydnor, 2017. "Choose to Lose: Health Plan Choices from a Menu with Dominated Option," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 132(3), pages 1319-1372.
    12. Raviv, Artur, 1979. "The Design of an Optimal Insurance Policy," American Economic Review, American Economic Association, vol. 69(1), pages 84-96, March.
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    Cited by:

    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. Marianne Tenand & Pieter Bakx & Bram Wouterse, 2021. "The impact of co-payments for nursing home care on use, health, and welfare," CPB Discussion Paper 430, CPB Netherlands Bureau for Economic Policy Analysis.
    3. Bram Wouterse & Arjen Hussem & Albert Wong, 2022. "The risk protection and redistribution effects of long‐term care co‐payments," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 89(1), pages 161-186, March.

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    More about this item

    Keywords

    Long-term care insurance ; Deductible ; Arrow’s theorem ; Reimbursement rule;
    All these keywords.

    JEL classification:

    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
    • I13 - Health, Education, and Welfare - - Health - - - Health Insurance, Public and Private
    • J14 - Labor and Demographic Economics - - Demographic Economics - - - Economics of the Elderly; Economics of the Handicapped; Non-Labor Market Discrimination

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