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On the relationship between absolute prudence and absolute risk aversion

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  • 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

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    1. Pratt, John W & Zeckhauser, Richard J, 1987. "Proper Risk Aversion," Econometrica, Econometric Society, vol. 55(1), pages 143-154, January.
    2. Menegatti, Mario, 2001. "On the Conditions for Precautionary Saving," Journal of Economic Theory, Elsevier, vol. 98(1), pages 189-193, May.
    3. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    4. A. Sandmo, 1970. "The Effect of Uncertainty on Saving Decisions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 37(3), pages 353-360.
    5. Kimball, Miles S, 1993. "Standard Risk Aversion," Econometrica, Econometric Society, vol. 61(3), pages 589-611, May.
    6. Hayne E. Leland, 1968. "Saving and Uncertainty: The Precautionary Demand for Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 82(3), pages 465-473.
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    Citations

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    Cited by:

    1. Christian Josef Bauer & Wolfgang Buchholz, 2008. "How Changing Prudence and Risk Aversion Affect Optimal Saving," CESifo Working Paper Series 2438, CESifo.
    2. Marzia Donno & Marco Magnani & Mario Menegatti, 2020. "Changes in multiplicative risks and optimal portfolio choice: new interpretations and results," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(1), pages 251-267, June.
    3. 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.
    4. 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.
    5. Marzia De Donno & Mario Menegatti, 2020. "Some conditions for the equivalence between risk aversion, prudence and temperance," Theory and Decision, Springer, vol. 89(1), pages 39-60, July.
    6. Andrei Matveenko & Vladimir Matveenko, 2014. "Curvature and the Elasticity of Substitution: What Is the Link? Project," Montenegrin Journal of Economics, Economic Laboratory for Transition Research (ELIT), vol. 10(2), pages 7-20.
    7. Daria Pignalosa, 2019. "On the role of the utility function in the estimation of preference parameters," Metroeconomica, Wiley Blackwell, vol. 70(4), pages 793-820, November.
    8. Shraddha Pathak & Ankur A. Kulkarni, 2022. "A Scalable Bayesian Persuasion Framework for Epidemic Containment on Heterogeneous Networks," Papers 2207.11578, arXiv.org.

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    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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