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A Note on Partial Insurance and the Arrow-Pratt Measure of Risk Aversion

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  • W. Chiu

Abstract

Pratt [1964] establishes that a more risk-averse individual in the Arrow-Pratt sense has a higher compensating risk premium for full insurance, but no comparable result has been established for partial insurance. Ross [1981] shows that a more risk-averse individual in the Arrow-Pratt sense may not be willing to pay more for a reduction in risk in the sense of mean-preserving contraction. We show that a more risk-averse individual in the Arrow-Pratt sense has a higher compensating risk premium for all empirically relevant forms of partial insurance because they induce a reduction in risk in the stronger sense of Bickel and Lemann [1979]. Copyright The Geneva Association 2005

Suggested Citation

  • W. Chiu, 2005. "A Note on Partial Insurance and the Arrow-Pratt Measure of Risk Aversion," The Geneva Papers on Risk and Insurance Theory, Springer;International Association for the Study of Insurance Economics (The Geneva Association), vol. 30(1), pages 35-40, June.
    • Handle: RePEc:kap:geneva:v:30:y:2005:i:1:p:35-40
    DOI: 10.1007/s10836-005-1106-3
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    References listed on IDEAS

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    1. Diamond, Peter A. & Stiglitz, Joseph E., 1974. "Increases in risk and in risk aversion," Journal of Economic Theory, Elsevier, vol. 8(3), pages 337-360, July.
    2. Ross, Stephen A, 1981. "Some Stronger Measures of Risk Aversion in the Small and the Large with Applications," Econometrica, Econometric Society, vol. 49(3), pages 621-638, May.
    3. 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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