IDEAS home Printed from https://ideas.repec.org/p/isu/genstf/199307010700001539.html
   My bibliography  Save this paper

Risk and Probability Premiums for CARA Utility Functions

Author

Listed:
  • Babcock, Bruce A.
  • Choi, E. Kwan
  • Feinerman, Eli

Abstract

The risk premium and the probability premium are used to determine appropriate coefficients of absolute risk aversion under CARA utility. A defensible range of risk-aversion coefficients is defined by the coefficients that correspond to risk premiums falling between 1 and 99% of the amount at risk or to probability premiums falling between .005 and ,49 for a lottery that pays or loses a given sum. The consequences of ignoring risk premiums when selecting risk-aversion coefficients for representative decision makers are illustrated by calculation of the implied risk premium associated with the levels of absolute risk aversion assumed in six selected studies.

Suggested Citation

  • Babcock, Bruce A. & Choi, E. Kwan & Feinerman, Eli, 1993. "Risk and Probability Premiums for CARA Utility Functions," ISU General Staff Papers 199307010700001539, Iowa State University, Department of Economics.
    • Handle: RePEc:isu:genstf:199307010700001539
    as

    Download full text from publisher

    File URL: https://dr.lib.iastate.edu/server/api/core/bitstreams/d9a31932-f5f5-4ca5-8a43-f8cdf8e5c6a8/content
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Buccola, Steven T., 1982. "Portfolio Selection Under Exponential And Quadratic Utility," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 7(1), pages 1-10, July.
    2. Hans P. Binswanger, 1980. "Attitudes Toward Risk: Experimental Measurement in Rural India," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 62(3), pages 395-407.
    3. Babcock, Bruce A. & Chalfant, James A. & Collender, Robert N., 1987. "Simultaneous Input Demands And Land Allocation In Agricultural Production Under Certainty," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 12(2), pages 1-9, December.
    4. Rister, M. Edward & Skees, Jerry R. & Black, J. Roy, 1984. "Evaluating Use Of Outlook Information In Grain Sorghum Storage Decisions," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 16(1), pages 1-8, July.
    5. James A. Chalfant & Robert N. Collender & Shankar Subramanian, 1990. "The Mean and Variance of the Mean-Variance Decision Rule," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 72(4), pages 966-974.
    6. Robert N. Collender & David Zilberman, 1985. "Land Allocation under Uncertainty for Alternative Specifications of Return Distributions," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 67(4), pages 779-786.
    7. Joseph Yassour & David Zilberman & Gordon C. Rausser, 1981. "Optimal Choices among Alternative Technologies with Stochastic Yield," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 63(4), pages 718-723.
    8. J. M. Antle & W. J. Goodger, 1984. "Measuring Stochastic Technology: The Case of Tulare Milk Production," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 66(3), pages 342-350.
    9. Matthew T. Holt & Jon A. Brandt, 1985. "Combining price forecasting with hedging of hogs: An evaluation using alternative measures of risk," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 5(3), pages 297-309, September.
    10. King, Robert P. & Lybecker, Donald W., 1983. "Flexible, Risk-Oriented Marketing Strategies For Pinto Bean Producers," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 8(2), pages 1-10, December.
    11. H. Alan Love & Steven T. Buccola, 1991. "Joint Risk Preference-Technology Estimation with a Primal System," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 73(3), pages 765-774.
    12. Arthur H. Grube, 1986. "Participation in Farm Commodity Programs: A Stochastic Dominance Analysis: Comment," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 68(1), pages 185-188.
    13. Randall A. Kramer & Rulon D. Pope, 1981. "Participation in Farm Commodity Programs: A Stochastic Dominance Analysis," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 63(1), pages 119-128.
    14. repec:cdl:agrebk:1141583 is not listed on IDEAS
    15. William T. McSweeny & Randall A. Kramer, 1986. "The Integration of Farm Programs for Achieving Soil Conservation and Nonpoint Pollution Control Objectives," Land Economics, University of Wisconsin Press, vol. 62(2), pages 159-173.
    16. Rister, M. Edward & Skees, Jerry R. & Black, J. Roy, 1984. "Evaluating Use of Outlook Information in Grain Sorghum Storage Decisions," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 16(1), pages 151-158, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Raskin, Rob & Cochran, Mark J., 1986. "Interpretations And Transformations Of Scale For The Pratt-Arrow Absolute Risk Aversion Coefficient: Implications For Generalized Stochastic Dominance," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 11(2), pages 1-7, December.
    2. Cochran, Mark J., 1986. "Stochastic Dominance: The State Of The Art In Agricultural Economics," Regional Research Projects > 1986: S-180 Annual Meeting, March 23-26, 1986, Tampa, Florida 271995, Regional Research Projects > S-180: An Economic Analysis of Risk Management Strategies for Agricultural Production Firms.
    3. McCarl, Bruce A. & Bessler, David A., 1989. "Estimating An Upper Bound On The Pratt Risk A Version Coefficient When The Utility Function Is Unknown," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 33(1), pages 1-8, April.
    4. Goh, Siew & Shih, Chao-Chyuan & Cochran, Mark J. & Raskin, Rob, 1989. "A Generalized Stochastic Dominance Program For The Ibm Pc," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 21(2), pages 1-8, December.
    5. Teague, Paul W. & Lee, John G., 1988. "Risk Efficient Perennial Crop Selection: A Motad Approach To Citrus Production," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 20(2), pages 1-8, December.
    6. McCarl, Bruce A., 1988. "Preference Among Risky Prospects Under Constant Risk Aversion," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 20(2), pages 1-10, December.
    7. Ritchie, John W. & Abawi, G. Yahya & Dutta, Sunil C. & Harris, Trevor R. & Bange, Michael, 2004. "Risk management strategies using seasonal climate forecasting in irrigated cotton production: a tale of stochastic dominance," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 48(1), pages 1-29.
    8. John W. Ritchie & G. Yahya Abawi & Sunil C. Dutta & Trevor R. Harris & Michael Bange, 2004. "Risk management strategies using seasonal climate forecasting in irrigated cotton production: a tale of stochastic dominance," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 48(1), pages 65-93, March.
    9. Anaman, Kwabena A. & Boggess, William G., 1986. "A Stochastic Dominance Analysis Of Alternative Marketing Strategies For Mixed Crop Farms In North Florida," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 18(2), pages 1-9, December.
    10. Boisvert, Richard N. & Peterson, Jeffrey M., 1996. "Conditions for Requiring Separate Green Payments Policies Under Asymmetric Information," Working Papers 127934, Cornell University, Department of Applied Economics and Management.
    11. Z. Bar‐Shira & R.E. Just & D. Zilberman, 1997. "Estimation of farmers' risk attitude: an econometric approach," Agricultural Economics, International Association of Agricultural Economists, vol. 17(2-3), pages 211-222, December.
    12. Mitchell, Paul David, 1999. "The theory and practice of green insurance: insurance to encourage the adoption of corn rootworm IPM," ISU General Staff Papers 1999010108000013154, Iowa State University, Department of Economics.
    13. Babcock, Bruce A. & Chalfant, James A. & Collender, Robert N., 1987. "Simultaneous Input Demands And Land Allocation In Agricultural Production Under Certainty," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 12(2), pages 1-9, December.
    14. Drynan, Ross G., 1986. "A Note On Optimal Rules For Stochastic Efficiency Analysis," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 30(1), pages 1-10, April.
    15. Rahman, Shaikh Mahfuzur & Dorfman, Jeffrey H. & Turner, Steven C., 2004. "A Bayesian Approach to Optimal Cross-Hedging of Cottonseed Products Using Soybean Complex Futures," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 29(2), pages 1-16, August.
    16. Alain Carpentier & . European Association of Environmental And Resource Economists, 1994. "Some issues on pesticide ban : the example of the French crop sector," Post-Print hal-01947506, HAL.
    17. Wilson, Paul N. & Eidman, Vernon R., 1983. "An Empirical Test Of The Interval Approach For Estimating Risk Preferences," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 8(2), pages 1-13, December.
    18. Antti Saastamoinen, 2015. "Heteroscedasticity Or Production Risk? A Synthetic View," Journal of Economic Surveys, Wiley Blackwell, vol. 29(3), pages 459-478, July.
    19. Elamin H. Elbasha, 2005. "Risk aversion and uncertainty in cost‐effectiveness analysis: the expected‐utility, moment‐generating function approach," Health Economics, John Wiley & Sons, Ltd., vol. 14(5), pages 457-470, May.
    20. Li, Zheng & Rejesus, Roderick M. & Zheng, Xiaoyong, 2018. "Nonparametric Estimation and Inference of Production Risk with Categorical Variables," 2018 Annual Meeting, August 5-7, Washington, D.C. 274400, Agricultural and Applied Economics Association.

    More about this item

    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:isu:genstf:199307010700001539. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Curtis Balmer (email available below). General contact details of provider: https://edirc.repec.org/data/deiasus.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.