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Power Risk Aversion Utility Functions

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Author Info

  • Danyang Xie

    (International Monetary Fund)

Abstract

This paper introduces a new class of utility function -- the power risk aversion.It is shown that the CRRA and CARA utility functions are both in this class. The implications of the PRA utility functions are explored in the context of growth theory. In particular, it is found that economies facing a common real interest rate do not necessarily grow at the same rates if they start with different levels of capital stock. Thus diversity in growth performance across countries occurs even if these countries have access to perfect international capital markets. Potential applications of the PRA in asset pricing are considered.

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File URL: http://128.118.178.162/eps/if/papers/0207/0207006.pdf
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Bibliographic Info

Paper provided by EconWPA in its series International Finance with number 0207006.

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Length: 18 pages
Date of creation: 22 Aug 2002
Date of revision:
Handle: RePEc:wpa:wuwpif:0207006

Note: Type of Document - Acrobat PDF; prepared on PC; to print on HP/PostScript/Franciscan monk; pages: 18; figures: Included
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Web page: http://128.118.178.162

Related research

Keywords: Power Risk Aversion; Growth; Asset Pricing;

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Cited by:
  1. Conniffe, Denis, 2008. "Generalised Means of Simple Utility Functions with Risk Aversion," The Economic and Social Review, Economic and Social Studies, vol. 39(1), pages 1-12.
  2. Mitra, Tapan & Roy, Santanu, 2010. "Sustained Positive Consumption in a Model of Stochastic Growth: The Role of Risk Aversion," Working Papers 10-03, Cornell University, Center for Analytic Economics.
  3. Bahaji, Hamza, 2012. "De l’évaluation des stock options en « juste valeur » : apport de l’approche comportementale," Economics Thesis from University Paris Dauphine, Paris Dauphine University, number 123456789/10710 edited by Casta, Jean-François.
  4. William T. Smith & Qiang Zhang, 2006. "Asset Pricing With Multiplicative Habit and Power-Expo Preferences," CIRJE F-Series CIRJE-F-429, CIRJE, Faculty of Economics, University of Tokyo.
  5. Denis Conniffe, 2007. "The Flexible Three Parameter Utility Function," Annals of Economics and Finance, Society for AEF, vol. 8(1), pages 57-63, May.
  6. William T. Smith & Qiang Zhang, 2006. "Asset Pricing With Multiplicative Habit and Power-Expo Preferences (Subsequently published in "Economics Letters", 2007, 94(3), 319-325. )," CARF F-Series CARF-F-070, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.

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