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Long-Term Care: Risk Description of a Spanish Portfolio and Economic Analysis of the Timing of Insurance Purchase

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  • Jean Pinquet

    (CECO - Laboratoire d'économétrie de l'École polytechnique - X - École polytechnique - IP Paris - Institut Polytechnique de Paris - CNRS - Centre National de la Recherche Scientifique)

  • Guillén Montserrat

    (CECO - Laboratoire d'économétrie de l'École polytechnique - X - École polytechnique - IP Paris - Institut Polytechnique de Paris - CNRS - Centre National de la Recherche Scientifique)

Abstract

This paper analyzes the rationale of long-term care insurance purchasing, from a statistical analysis of insurance data and a life cycle model. We make a short survey of the pros and cons of LTC insurance purchase. Then risk distributions in the occurrence and duration dimension are estimated on a Spanish portfolio. Calendar effects are estimated besides age and gender. These statistical results are integrated in a life cycle model of savings and insurance purchasing. A numerical illustration is also provided, which leads to an optimal age of forty years for insurance purchase.

Suggested Citation

  • Jean Pinquet & Guillén Montserrat, 2008. "Long-Term Care: Risk Description of a Spanish Portfolio and Economic Analysis of the Timing of Insurance Purchase," Post-Print hal-00343104, HAL.
    • Handle: RePEc:hal:journl:hal-00343104
    Note: View the original document on HAL open archive server: https://hal.science/hal-00343104
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    References listed on IDEAS

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    1. Robert B. Barsky & Miles S. Kimball & F. Thomas Juster & Matthew D. Shapiro, 1995. "Preference Parameters and Behavioral Heterogeneity: An Experimental Approach in the Health and Retirement Survey," NBER Working Papers 5213, National Bureau of Economic Research, Inc.
    2. Denis Kessler, 2008. "The Long-Term Care Insurance Market," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 33(1), pages 33-40, January.
    3. Sloan, Frank A & Norton, Edward C, 1997. "Adverse Selection, Bequests, Crowding Out, and Private Demand for Insurance: Evidence from the Long-Term Care Insurance Market," Journal of Risk and Uncertainty, Springer, vol. 15(3), pages 201-219, December.
    4. de Meza, David & Webb, David C, 2001. "Advantageous Selection in Insurance Markets," RAND Journal of Economics, The RAND Corporation, vol. 32(2), pages 249-262, Summer.
    5. 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.
    6. Hanming Fang & Michael P. Keane & Dan Silverman, 2008. "Sources of Advantageous Selection: Evidence from the Medigap Insurance Market," Journal of Political Economy, University of Chicago Press, vol. 116(2), pages 303-350, April.
    7. 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.
    8. Christian Gollier, 2004. "The Economics of Risk and Time," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262572249, April.
    9. 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.
    10. Gupta, Aparna & Li, Lepeng, 2007. "Integrating long-term care insurance purchase decisions with saving and investment for retirement," Insurance: Mathematics and Economics, Elsevier, vol. 41(3), pages 362-381, November.
    11. Paul A. Samuelson, 2011. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," World Scientific Book Chapters, in: Leonard C MacLean & Edward O Thorp & William T Ziemba (ed.), THE KELLY CAPITAL GROWTH INVESTMENT CRITERION THEORY and PRACTICE, chapter 31, pages 465-472, World Scientific Publishing Co. Pte. Ltd..
    12. Robert B. Barsky & F. Thomas Juster & Miles S. Kimball & Matthew D. Shapiro, 1997. "Preference Parameters and Behavioral Heterogeneity: An Experimental Approach in the Health and Retirement Study," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 537-579.
    13. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    14. Amy Finkelstein & Kathleen McGarry, 2006. "Multiple Dimensions of Private Information: Evidence from the Long-Term Care Insurance Market," American Economic Review, American Economic Association, vol. 96(4), pages 938-958, September.
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    Cited by:

    1. Jean Pinquet & Montserrat Guillén & Mercedes Ayuso, 2011. "Commitment and Lapse Behavior in Long‐Term Insurance: A Case Study," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 78(4), pages 983-1002, December.
    2. Jean Pinquet, 2008. "Quel avenir pour l'assurance dépendance? Leçons de l'expérience américaine," Post-Print hal-00396151, HAL.
    3. Manuel L. Esquível & Gracinda R. Guerreiro & Matilde C. Oliveira & Pedro Corte Real, 2021. "Calibration of Transition Intensities for a Multistate Model: Application to Long-Term Care," Risks, MDPI, vol. 9(2), pages 1-17, February.

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    Keywords

    Long-term care insurance; Lee-Carter models; life cycle approach; calendar; gender and age effects;
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