IDEAS home Printed from https://ideas.repec.org/a/bla/agecon/v40y2009i6p691-699.html
   My bibliography  Save this article

Integration of VaR and expected utility under departures from normality

Author

Listed:
  • Peter J. Barry
  • Bruce J. Sherrick
  • Jianmei Zhao

Abstract

This article identifies the level of the expected utility (EU) risk aversion and Value‐at‐Risk (VaR) confidence level that yield the same choice from a given distribution of outcomes, and thus allow for consistent application of the two criteria. The result for a given distribution is an explicit mapping between risk aversion under EU and VaR, for both normal and nonnormal distributions. The Cornish–Fisher expansion is used to establish adjusted mean‐deviates for nonnormal outcome distributions and the investor's preference function is expanded to include elements for variance, skewness, and excess kurtosis. A farm‐level application with nonnormal revenue distribution illustrates these approaches.

Suggested Citation

  • Peter J. Barry & Bruce J. Sherrick & Jianmei Zhao, 2009. "Integration of VaR and expected utility under departures from normality," Agricultural Economics, International Association of Agricultural Economists, vol. 40(6), pages 691-699, November.
    • Handle: RePEc:bla:agecon:v:40:y:2009:i:6:p:691-699
    DOI: 10.1111/j.1574-0862.2009.00408.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1574-0862.2009.00408.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1574-0862.2009.00408.x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Young, Douglas L., 1979. "Risk Preferences Of Agricultural Producers: Their Use In Extension And Research," 1979 Annual Meeting, July 29-August 1, Pullman, Washington 278203, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    2. Babcock, Bruce A. & Choi, E. Kwan & Feinerman, Eli, 1993. "Risk And Probability Premiums For Cara Utility Functions," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 18(1), pages 1-8, July.
    3. Basak, Suleyman & Shapiro, Alexander, 2001. "Value-at-Risk-Based Risk Management: Optimal Policies and Asset Prices," The Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 371-405.
    4. Bruce J. Sherrick & Fabio C. Zanini & Gary D. Schnitkey & Scott H. Irwin, 2004. "Crop Insurance Valuation under Alternative Yield Distributions," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 86(2), pages 406-419.
    5. Tsiang, S C, 1972. "The Rationale of the Mean-Standard Deviation Analysis, Skewness Preference, and the Demand for Money," American Economic Review, American Economic Association, vol. 62(3), pages 354-371, June.
    6. repec:ebl:ecbull:v:4:y:2003:i:38:p:1-10 is not listed on IDEAS
    7. Eric Jondeau & Michael Rockinger, 2006. "Optimal Portfolio Allocation under Higher Moments," European Financial Management, European Financial Management Association, vol. 12(1), pages 29-55, January.
    8. John M. Antle, 1987. "Econometric Estimation of Producers' Risk Attitudes," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 69(3), pages 509-522.
    9. Douglas L. Young, 1979. "Risk Preferences of Agricultural Producers: Their Use in Extension and Research," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 61(5), pages 1063-1070.
    10. Alexander, Gordon J. & Baptista, Alexandre M., 2002. "Economic implications of using a mean-VaR model for portfolio selection: A comparison with mean-variance analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 26(7-8), pages 1159-1193, July.
    11. Jaschke, Stefan R., 2001. "The Cornish-Fisher-Expansion in the context of Delta - Gamma - Normal approximations," SFB 373 Discussion Papers 2001,54, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    12. 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.
    13. William J. Baumol, 1963. "An Expected Gain-Confidence Limit Criterion for Portfolio Selection," Management Science, INFORMS, vol. 10(1), pages 174-182, October.
    14. Abdellaoui, Mohammed & Barrios, Carolina & Wakker, Peter P., 2007. "Reconciling introspective utility with revealed preference: Experimental arguments based on prospect theory," Journal of Econometrics, Elsevier, vol. 138(1), pages 356-378, May.
    15. Charles A. Holt & Susan K. Laury, 2002. "Risk Aversion and Incentive Effects," American Economic Review, American Economic Association, vol. 92(5), pages 1644-1655, December.
    16. Mark R. Manfredo & Raymond M. Leuthold, 1999. "Value-at-Risk Analysis: A Review and the Potential for Agricultural Applications," Review of Agricultural Economics, Agricultural and Applied Economics Association, vol. 21(1), pages 99-111.
    17. Scott, Robert C & Horvath, Philip A, 1980. "On the Direction of Preference for Moments of Higher Order Than the Variance," Journal of Finance, American Finance Association, vol. 35(4), pages 915-919, September.
    18. Steven T. Buccola, 1986. "Testing for Nonnormality in Farm Net Returns," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 68(2), pages 334-343.
    19. Levy, H & Markowtiz, H M, 1979. "Approximating Expected Utility by a Function of Mean and Variance," American Economic Review, American Economic Association, vol. 69(3), pages 308-317, June.
    20. Yamai, Yasuhiro & Yoshiba, Toshinao, 2002. "Comparative Analyses of Expected Shortfall and Value-at-Risk (2): Expected Utility Maximization and Tail Risk," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 20(2), pages 95-115, April.
    21. Joseph G. Eisenhauer, 2003. "Approximation bias in estimating risk aversion," Economics Bulletin, AccessEcon, vol. 4(38), pages 1-10.
    22. Kaplanski, Guy & Levy, Haim, 2007. "Basel's value-at-risk capital requirement regulation: An efficiency analysis," Journal of Banking & Finance, Elsevier, vol. 31(6), pages 1887-1906, June.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Greiner, Romy & Bliemer, Michiel & Ballweg, Julie, 2014. "Design considerations of a choice experiment to estimate likely participation by north Australian pastoralists in contractual biodiversity conservation," Journal of choice modelling, Elsevier, vol. 10(C), pages 34-45.
    2. Markus Arlindo Monteiro & Bennie Grové & Nicolette Matthews, 2022. "Developing a Moving Average Crossover Strategy as an Alternative Hedging Strategy for the South Africa Maize Market," Agriculture, MDPI, vol. 12(8), pages 1-14, August.

    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. Gomez-Limon, Jose A. & Arriaza, Manuel & Riesgo, Laura, 2003. "An MCDM analysis of agricultural risk aversion," European Journal of Operational Research, Elsevier, vol. 151(3), pages 569-585, December.
    2. Monica Billio & Bertrand Maillet & Loriana Pelizzon, 2022. "A meta-measure of performance related to both investors and investments characteristics," Annals of Operations Research, Springer, vol. 313(2), pages 1405-1447, June.
    3. Emmanuel Jurczenko & Bertrand Maillet & Paul Merlin, 2008. "Efficient Frontier for Robust Higher-order Moment Portfolio Selection," Post-Print halshs-00336475, HAL.
    4. Gomez-Limon, Jose Antonio & Riesgo, Laura & Arriaza Balmón, Manuel, 2002. "Agricultural Risk Aversion Revisited: A Multicriteria Decision-Making Approach," 2002 International Congress, August 28-31, 2002, Zaragoza, Spain 24827, European Association of Agricultural Economists.
    5. Dias, Alexandra, 2016. "The economic value of controlling for large losses in portfolio selection," Journal of Banking & Finance, Elsevier, vol. 72(S), pages 81-91.
    6. M. C. Lyne & G. F. Ortmann & N. Vink, 1991. "Food Security In Kwazulu: Results Of A Household‐Based Programming Model," Journal of Agricultural Economics, Wiley Blackwell, vol. 42(1), pages 43-55, January.
    7. 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.
    8. Holt, Matthew T., 1989. "Risk, Rational Expectations, and Price Stabilization in the U.S. Corn Market," Staff Papers 200480, University of Wisconsin-Madison, Department of Agricultural and Applied Economics.
    9. Ji Cao, 2017. "How does the underlying affect the risk-return profiles of structured products?," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 31(1), pages 27-47, February.
    10. Penaranda, Francisco, 2007. "Portfolio choice beyond the traditional approach," LSE Research Online Documents on Economics 24481, London School of Economics and Political Science, LSE Library.
    11. Mateane, Lebogang, 2020. "Risk preferences, global market conditions and foreign debt: Is there any role for the currency composition of FX reserves?," EconStor Preprints 227484, ZBW - Leibniz Information Centre for Economics.
    12. Musser, Wesley N., 1994. "Progress In Risk Analysis In Regional Projects," 1994 Quantifying Long Run Agricultural Risks and Evaluating Farmer Responses Risk, Technical Committee Meeting, March 24-26, 1994, Gulf Shores State Park, Alabama 271553, Regional Research Projects > S-232: Quantifying Long Run Agricultural Risks and Evaluating Farmer Responses to Risk.
    13. Elaine M. Liu, 2013. "Time to Change What to Sow: Risk Preferences and Technology Adoption Decisions of Cotton Farmers in China," The Review of Economics and Statistics, MIT Press, vol. 95(4), pages 1386-1403, October.
    14. Eric Jondeau & Michael Rockinger, 2006. "Optimal Portfolio Allocation under Higher Moments," European Financial Management, European Financial Management Association, vol. 12(1), pages 29-55, January.
    15. Fahrenwaldt, Matthias A. & Sun, Chaofan, 2020. "Expected utility approximation and portfolio optimisation," Insurance: Mathematics and Economics, Elsevier, vol. 93(C), pages 301-314.
    16. Eric Jondeau & Michael Rockinger, 2005. "Conditional Asset Allocation under Non-Normality: How Costly is the Mean-Variance Criterion?," FAME Research Paper Series rp132, International Center for Financial Asset Management and Engineering.
    17. Levy, Haim & Levy, Moshe, 2009. "The safety first expected utility model: Experimental evidence and economic implications," Journal of Banking & Finance, Elsevier, vol. 33(8), pages 1494-1506, August.
    18. Kaplanski, Guy & Kroll, Yoram, 2002. "VaR Risk Measures versus Traditional Risk Measures: an Analysis and Survey," MPRA Paper 80070, University Library of Munich, Germany.
    19. Philip A. Horvath & Amit K. Sinha, 2017. "Asymmetric reaction is rational behavior," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 41(1), pages 160-179, January.
    20. Barry, Peter J. & Escalante, Cesar L. & Moss, Leeann E., 2002. "Rental Premiums For Share Versus Cash Leases," 2002 Annual meeting, July 28-31, Long Beach, CA 19684, American Agricultural Economics Association (New Name 2008: 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:bla:agecon:v:40:y:2009:i:6:p:691-699. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/iaaeeea.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.