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Direction And Intensity Of Risk Preference At The Third Order

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  • Donald C. Keenan
  • Arthur Snow

Abstract

In expected utility theory, aversion to risk, greater aversion, and the desire to substitute away from risk are each characterized by properties of the Arrow–Pratt index of absolute risk aversion, with comparative statics implications for such decisions as saving. At the third order, however, no single index suffices. We contrast alternative indices of third†order risk preference and show that the substitution effect of downside risk is governed by the Schwarzian, and that where the degree of prudence governs the magnitude of precautionary saving, the Schwarzian governs the effect of background risk on the marginal rate of time preference.

Suggested Citation

  • Donald C. Keenan & Arthur Snow, 2018. "Direction And Intensity Of Risk Preference At The Third Order," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 85(2), pages 355-378, June.
    • Handle: RePEc:bla:jrinsu:v:85:y:2018:i:2:p:355-378
    DOI: 10.1111/jori.12232
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    Cited by:

    1. Donald C. Keenan & Arthur Snow, 2022. "Reversibly greater downside risk aversion," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 47(2), pages 327-338, September.
    2. Richard Peter, 2024. "The economics of self-protection," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 49(1), pages 6-35, March.
    3. Richard Peter, 2021. "A fresh look at primary prevention for health risks," Health Economics, John Wiley & Sons, Ltd., vol. 30(5), pages 1247-1254, May.

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