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Power Risk Aversion Utility Functions

Author

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  • Danyang Xie

    () (Department of Economics, Hong Kong University of Science and Technology
    International Monetary Fund)

Abstract

This paper introduces a new class of utility functions---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.

Suggested Citation

  • Danyang Xie, 2000. "Power Risk Aversion Utility Functions," Annals of Economics and Finance, Society for AEF, vol. 1(2), pages 265-282, November.
  • Handle: RePEc:cuf:journl:y:2000:v:1:i:2:p:265-282
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    References listed on IDEAS

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    1. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
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    10. Jeff Frank, 1990. "Monopolistic Competition, Risk Aversion, and Equilibrium Recessions," The Quarterly Journal of Economics, Oxford University Press, vol. 105(4), pages 921-938.
    11. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
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    Citations

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    Cited by:

    1. de Brauw, Alan & Eozenou, Patrick, 2014. "Measuring risk attitudes among Mozambican farmers," Journal of Development Economics, Elsevier, vol. 111(C), pages 61-74.
    2. 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, March.
    3. 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.
    4. Smith, William T. & Zhang, Qiang, 2007. "Asset pricing with multiplicative habit and power-expo preferences," Economics Letters, Elsevier, vol. 94(3), pages 319-325, March.
    5. Mark Kagan & Frederick Ploeg & Cees Withagen, 2015. "Battle for Climate and Scarcity Rents: Beyond the Linear-Quadratic Case," Dynamic Games and Applications, Springer, vol. 5(4), pages 493-522, December.
    6. Denis Conniffe, 2007. "The Generalised Extreme Value Distribution as Utility Function," The Economic and Social Review, Economic and Social Studies, vol. 38(3), pages 275-288.
    7. 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.
    8. Soriano-Morales, Yazmín Viridiana & Vallejo-Jiménez, Benjamín & Venegas-Martínez, Francisco, 2017. "Impact of the Degree of Relative Risk Aversion, the Interest Rate and the Exchange Rate Depreciation on Economic Welfare in a Small Open Economy," MPRA Paper 76441, University Library of Munich, Germany.
    9. Samuel Mongrut Montalván, 2016. "Discount Rates for Seed Capital Investments," Working Papers 16-01, Centro de Investigación, Universidad del Pacífico.
    10. Spreeuw, Jaap, 2014. "Archimedean copulas derived from utility functions," Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 235-242.
    11. Mitra, Tapan & Roy, Santanu, 2012. "Sustained positive consumption in a model of stochastic growth: The role of risk aversion," Journal of Economic Theory, Elsevier, vol. 147(2), pages 850-880.
    12. Denis Conniffe, 2007. "The Flexible Three Parameter Utility Function," Annals of Economics and Finance, Society for AEF, vol. 8(1), pages 57-63, May.

    More about this item

    Keywords

    PRA utility functions; Growth; Asset pricing;

    JEL classification:

    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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