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On the relationship between absolute prudence and absolute risk aversion

Author

Listed:
  • Mario Maggi

    ()

  • Umberto Magnani

    ()

  • Mario Menegatti

    ()

Abstract

This paper shows how, under a few standard assumptions on the utility function, the monotonicity of absolute risk aversion (ARA) and of absolute prudence (AP) are connected. We get some general Propositions on the behaviour of the two functions regarding the positions and the number of their critical points. We also examine some cases where the shape of ap allows to completely determine that of ARA.
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Suggested Citation

  • Mario Maggi & Umberto Magnani & Mario Menegatti, 2006. "On the relationship between absolute prudence and absolute risk aversion," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 29(2), pages 155-160, November.
  • Handle: RePEc:spr:decfin:v:29:y:2006:i:2:p:155-160 DOI: 10.1007/s10203-006-0064-2
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    References listed on IDEAS

    as
    1. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    2. Pratt, John W & Zeckhauser, Richard J, 1987. "Proper Risk Aversion," Econometrica, Econometric Society, vol. 55(1), pages 143-154, January.
    3. Menegatti, Mario, 2001. "On the Conditions for Precautionary Saving," Journal of Economic Theory, Elsevier, vol. 98(1), pages 189-193, May.
    4. A. Sandmo, 1970. "The Effect of Uncertainty on Saving Decisions," Review of Economic Studies, Oxford University Press, vol. 37(3), pages 353-360.
    5. Kimball, Miles S, 1993. "Standard Risk Aversion," Econometrica, Econometric Society, vol. 61(3), pages 589-611, May.
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    Citations

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    Cited by:

    1. Martin Bohner & Gregory Gelles, 2012. "Risk aversion and risk vulnerability in the continuous and discrete case," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 35(1), pages 1-28, May.
    2. Christian Josef Bauer & Wolfgang Buchholz, 2008. "How Changing Prudence and Risk Aversion Affect Optimal Saving," CESifo Working Paper Series 2438, CESifo Group Munich.
    3. repec:mje:mjejnl:v:10:y:2014:i:2:p:7-20 is not listed on IDEAS
    4. Menegatti, Mario, 2014. "New results on the relationship among risk aversion, prudence and temperance," European Journal of Operational Research, Elsevier, vol. 232(3), pages 613-617.

    More about this item

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

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