IDEAS home Printed from https://ideas.repec.org/p/sie/siegen/99-01.html
   My bibliography  Save this paper

More on Parametric Characterizations of Risk Aversion and Prudence

Author

Listed:
  • Thomas Eichner
  • Andreas Wagener

Abstract

This note provides an alternative proof for the equivalence of decreasing absolute prudence (DAP) in the expected utility framework and in a two-parametric approach where utility is a function of the mean and the standard deviation. In addition, we elucidate that the equivalence of DAP and the concavity of utility as a function of mean and variance, which was shown to hold for normally distributed stochastics in Lajeri and Nielsen [Economic Theory 15 (2000), 469-476], cannot be generalized.

Suggested Citation

  • Thomas Eichner & Andreas Wagener, 2001. "More on Parametric Characterizations of Risk Aversion and Prudence," Volkswirtschaftliche Diskussionsbeiträge 99-01, Universität Siegen, Fakultät Wirtschaftswissenschaften, Wirtschaftsinformatik und Wirtschaftsrecht.
    • Handle: RePEc:sie:siegen:99-01
    as

    Download full text from publisher

    File URL: http://www.wiwi.uni-siegen.de/vwl/repec/sie/papers/99-01.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Andreas Wagener, 2005. "Linear risk tolerance and mean-variance preferences," Economics Bulletin, AccessEcon, vol. 4(1), pages 1-8.
    2. Thomas Eichner & Andreas Wagener, 2005. "Notes and Comments: Measures of risk attitude: correspondences between mean-variance and expected-utility approaches," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 28(1), pages 53-65, June.
    3. Gerry Boyle & Denis Conniffe, 2008. "Compatibility of expected utility and μ/σ approaches to risk for a class of non location–scale distributions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(2), pages 343-366, May.
    4. Fausto Corradin & Domenico Sartore, 2020. "Risk Aversion: Differential Conditions for the Iso-Utility Curves with Positive Slope in Transformed Two-Parameter Distributions," Advances in Decision Sciences, Asia University, Taiwan, vol. 24(3), pages 142-217, September.
    5. Wing-Keung Wong & Chenghu Ma, 2008. "Preferences over location-scale family," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(1), pages 119-146, October.
    6. Fatma Lajeri-Chaherli, 2016. "On The Concavity And Quasiconcavity Properties Of ( Σ , Μ ) Utility Functions," Bulletin of Economic Research, Wiley Blackwell, vol. 68(3), pages 287-296, April.
    7. James Cox & Vjollca Sadiraj & Bodo Vogt & Utteeyo Dasgupta, 2013. "Is there a plausible theory for decision under risk? A dual calibration critique," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(2), pages 305-333, October.
    8. Bonilla, Claudio A. & Ruiz, Jose L., 2014. "Insurance demand and first order risk increases under (μ,σ)-preferences," Finance Research Letters, Elsevier, vol. 11(3), pages 219-223.
    9. Alain Chateauneuf & Ghizlane Lakhnati & Eric Langlais, 2016. "On the precautionary motive for savings and prudence in the rank-dependent utility framework," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(1), pages 169-182, January.
    10. Vergara, Marcos & Bonilla, Claudio A., 2021. "Precautionary saving in mean-variance models and different sources of risk," Economic Modelling, Elsevier, vol. 98(C), pages 280-289.
    11. Xu Guo & Andreas Wagener & Wing-Keung Wong & Lixing Zhu, 2018. "The two-moment decision model with additive risks," Risk Management, Palgrave Macmillan, vol. 20(1), pages 77-94, February.
    12. Subhadip Mukherjee & Soumyatanu Mukherjee & Mamata Parhi & Kun Duan & Ahmed Usman, 2024. "A risk–return trade‐off or co‐movement? Are food processing firms risk‐averse?," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 29(2), pages 2176-2192, April.
    13. Fausto Corradin & Domenico Sartore, 2020. "Risk Aversion: Differential Conditions for the Iso-Utility Curves with Positive Slope in Transformed Two-Parameter Distributions," Advances in Decision Sciences, Asia University, Taiwan, vol. 24(3), pages 142-217, September.
    14. Guo, Xu & Wong, Wing-Keung & Zhu, Lixing, 2013. "Two-moment decision model for location-scale family with background asset," MPRA Paper 43864, University Library of Munich, Germany.
    15. Moawia Alghalith & Xu Guo & Cuizhen Niu & Wing-Keung Wong, 2017. "Input Demand Under Joint Energy and Output Prices Uncertainties," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(04), pages 1-12, August.
    16. Wagener, Andreas, 2003. "Comparative statics under uncertainty: The case of mean-variance preferences," European Journal of Operational Research, Elsevier, vol. 151(1), pages 224-232, November.
    17. Alghalith, Moawia & Niu, Cuizhen & Wong, Wing-Keung, 2017. "The impacts of joint energy and output prices uncertainties in a mean-variance framework," MPRA Paper 79739, University Library of Munich, Germany.

    More about this item

    JEL classification:

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sie:siegen:99-01. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Michael Gail (email available below). General contact details of provider: https://edirc.repec.org/data/fwsiede.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.