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Long Term Care and Longevity

Author

Listed:
  • Christian Gourieroux

    (Crest, University of Toronto)

  • Yang Lu

    (SCOR and Crest)

Abstract

The increase of the expected lifetime, that is the longevity phenomenon, is accompanied by an increase of the number of seniors with a severe disability. Because of the significant costs of long term care facilities, it is important to analyze the time spent in long term care, as well as the probability of entering into this state during its lifetime, and how they evolve with longevity. Our paper considers such questions, when lifetime data are available, but long term care data are either unavailable, or too aggregated, or unreliable, as it is usually the case. We specify a joint structural model of long term care and mortality, and explain why parameters of such models are identifiable from only the lifetime data. The methodology is applied to the mortality data of French males, first with a deterministic trend and then with a dynamic factor process. Prediction formulas are then provided and illustrated using the same data. We show in particular that the expected cost of the long term care is increasing less fast than the residual life expectancy at age 50

Suggested Citation

  • Christian Gourieroux & Yang Lu, 2013. "Long Term Care and Longevity," Working Papers 2013-16, Center for Research in Economics and Statistics.
    • Handle: RePEc:crs:wpaper:2013-16
    as

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    References listed on IDEAS

    as
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    6. Chris Elbers & Geert Ridder, 1982. "True and Spurious Duration Dependence: The Identifiability of the Proportional Hazard Model," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(3), pages 403-409.
    Full references (including those not matched with items on IDEAS)

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