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Toward exploring the location-scale condition: a constant relative risk aversion location-scale objective function

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  • Carl H. Nelson

Abstract

A constant relative risk aversion (CRRA) location-scale function is derived, analysed, and demonstrated for modelling choice under uncertainty. The function contributes to further exploration of the location-scale condition in agricultural economics risk research. Such analysis has been infrequent in recent research because the well-known linear mean-variance function implicitly assumes constant absolute risk aversion (CARA). Examples demonstrate that the CARA meanvariance function produces substantially different results than the CRRA locationscale function. Further, the CRRA location-scale function produces results similar to direct expected utility maximisation with a CRRA utility function and normally distributed returns. Copyright 2004, Oxford University Press.

Suggested Citation

  • Carl H. Nelson, 2004. "Toward exploring the location-scale condition: a constant relative risk aversion location-scale objective function," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 31(3), pages 273-287, September.
    • Handle: RePEc:oup:erevae:v:31:y:2004:i:3:p:273-287
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    Cited by:

    1. Ahmedov, Zafarbek & Woodard, Joshua D., 2012. "Do RIN Mandates and Blender's Tax Credit Affect Blenders' Hedging Strategies?," 2012 Annual Meeting, August 12-14, 2012, Seattle, Washington 124980, Agricultural and Applied Economics Association.
    2. William T. Smith, 2023. "The optimal hedge ratio: A closed-form solution, a conjecture, and a challenge," Economics Bulletin, AccessEcon, vol. 43(2), pages 748-758.
    3. Ferrer, Myra Clarisse R. & Fonsah, Esendugue Greg & Escalante, Cesar L., 2011. "Risk-Efficient Fumigant-Mulching System Alternatives for Bell Pepper Production," Journal of the ASFMRA, American Society of Farm Managers and Rural Appraisers, vol. 2011, pages 1-12, June.
    4. Carpentier, Alain & Gohin, Alexandre & Sckokai, Paolo & Thomas, Alban, 2015. "Economic modelling of agricultural production: past advances and new challenges," Revue d'Etudes en Agriculture et Environnement, Editions NecPlus, vol. 96(01), pages 131-165, March.
    5. Joshua Huang & Teresa Serra & Philip Garcia, 2021. "The Value of USDA Announcements in the Electronically Traded Corn Futures Market: A Modified Sufficient Test with Risk Adjustments," Journal of Agricultural Economics, Wiley Blackwell, vol. 72(3), pages 712-734, September.
    6. Boyle, Gerry & Conniffe, Denis & McQuinn, Kieran, 2005. "A New Mean Standard Deviation Utility Function and the Behaviour Towards Risk of Specialist Irish Agricultural Producers: 1988-1997," Research Technical Papers 5/RT/05, Central Bank of Ireland.
    7. Escalante, Cesar L. & Rejesus, Roderick M., 2005. "Farmland Control Decisions under Different Intertemporal Risk Behavioral Constructs," 2005 Annual meeting, July 24-27, Providence, RI 19113, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    8. Nakashima, Takahiro, 2006. "Linear Structural Models of Production under Price Uncertainty: A Mean-Standard Deviation Approach," Japanese Journal of Agricultural Economics (formerly Japanese Journal of Rural Economics), Agricultural Economics Society of Japan (AESJ), vol. 8, pages 1-11.
    9. Mattos, Fabio & Garcia, Philip & Nelson, Carl, 2008. "Relaxing standard hedging assumptions in the presence of downside risk," The Quarterly Review of Economics and Finance, Elsevier, vol. 48(1), pages 78-93, February.
    10. Mattos, Fabio & Garcia, Philip & Pennings, Joost M.E., 2008. "Probability weighting and loss aversion in futures hedging," Journal of Financial Markets, Elsevier, vol. 11(4), pages 433-452, November.
    11. Elisson Andrade & Fabio Mattos & Roberto Arruda de Souza Lima, 2018. "New Insights on Hedge Ratios in the Presence of Stochastic Transaction Costs," Risks, MDPI, vol. 6(4), pages 1-15, October.
    12. Mullally, Conner & Boucher, Steve & Carter, Michael, 2010. "Encouragement Designs and Heterogeneous Effects in Agricultural Insurance: Challenges for Impact Evaluations in Agricultural Insurance Interventions," 2010 Annual Meeting, July 25-27, 2010, Denver, Colorado 271511, Agricultural and Applied Economics Association.
    13. Mullally, Conner & Boucher, Stephen R. & Carter, Michael R., 2010. "Perceptions and Participation: Mistaken Beliefs, Encouragement Designs, and Demand for Index Insurance," 2010 Annual Meeting, July 25-27, 2010, Denver, Colorado 61002, Agricultural and Applied Economics Association.
    14. Torben M. Andersen, 2015. "Incentive And Insurance Effects Of Income Taxation," Bulletin of Economic Research, Wiley Blackwell, vol. 67(3), pages 209-226, July.
    15. William T. Smith, 2022. "The optimal hedge ratio: A solution, a conjecture, and a challenge," Economics Bulletin, AccessEcon, vol. 42(2), pages 877-888.

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