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Advantageous selection without moral hazard (with an application to life care annuities)

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Listed:
  • Philippe De Donder
  • Marie-Louise Leroux
  • François Salanié

Abstract

Advantageous (or propitious) selection occurs when an increase in the premium of an insurance contract induces high-cost agents to quit, thereby reducing the average cost among remaining buyers. Hemenway (1990) and many subsequent contributions motivate its advent by differences in risk-aversion among agents, implying different prevention efforts. We argue that it may also appear in the absence of moral hazard, when agents only differ in riskiness and not in (risk) preferences. We first show that profit-maximization implies that advantageous selection is more likely when markup rates and the elasticity of insurance demand are high. We then move to standard settings satisfying the single-crossing property and show that advantageous selection may occur when several contracts are offered, when agents also face a non-insurable background risk, or when agents face two mutually exclusive risks that are bundled together in a single insurance contract. We exemplify this last case with life care annuities, a product which bundles long-term care insurance and annuities, and we use Canadian survey data to provide an example of a contract facing advantageous selection.

Suggested Citation

  • Philippe De Donder & Marie-Louise Leroux & François Salanié, 2022. "Advantageous selection without moral hazard (with an application to life care annuities)," Cahiers de recherche / Working Papers 2203, Chaire de recherche sur les enjeux économiques intergénérationnels / Research Chair in Intergenerational Economics.
    • Handle: RePEc:rsi:creeic:2203
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    References listed on IDEAS

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    More about this item

    Keywords

    Propitious selection; positive or negative correlation property; contract bundling; long-term care insurance; annuity.;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • I13 - Health, Education, and Welfare - - Health - - - Health Insurance, Public and Private

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