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Modeling Dependence in the Design of Whole Farm---A Copula-Based Model Approach

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  • Zhu, Ying
  • Ghosh, Sujit K.
  • Goodwin, Barry K.

Abstract

The objective of this study is to evaluate and model the risks of corn and soybean production. This study focuses on the risk of revenue variability that arises from changes in prices, yields shortfalls or both. There are several models for price and yield risk factors for corn and soybeans. For instance, yield risks can be modeled by a family of Beta distributions, whereas price shocks can be modeled by log-normal distributions. In order to develop a multivariate model that preserves a given set of marginals, a copula approach can be used to characterize the joint yield and price risk of corn and soybeans, which are usually highly correlated. The copula approach has been spurred by the recent developments in the whole farm insurance (WFI), resulting in an increasing need for the modeling of multivariate risk factors and their interaction. As a part of the study, various copula models are investigated for their suitability in modeling yield and price risks. Finally, the proposed copula approach is illustrated with simulated data to calculate the premium rate of the whole farm insurance. Results show that WFI is superior to crop-specific insurance with premia 36% cheaper than the latter.

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  • Zhu, Ying & Ghosh, Sujit K. & Goodwin, Barry K., 2008. "Modeling Dependence in the Design of Whole Farm---A Copula-Based Model Approach," 2008 Annual Meeting, July 27-29, 2008, Orlando, Florida 6282, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    • Handle: RePEc:ags:aaea08:6282
    DOI: 10.22004/ag.econ.6282
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    3. Songjiao Chen & William Wilson & Ryan Larsen & Bruce Dahl, 2016. "Risk Management for Grain Processors and “Copulas”," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 64(2), pages 365-382, June.
    4. Kobus, Paweł, 2013. "Modelling joint distribution of crop plant yields and prices with use of a copula function," Problems of World Agriculture / Problemy Rolnictwa Światowego, Warsaw University of Life Sciences, vol. 13(28), pages 1-10, December.
    5. Miao, Ruiqing & Khanna, Madhu, 2015. "The Biomass Crop Assistance Program: Critical, Notional, or Distortional Support for Cellulosic Biofuels?," 2015 AAEA & WAEA Joint Annual Meeting, July 26-28, San Francisco, California 205818, Agricultural and Applied Economics Association.
    6. Miao, Ruiqing & Hennessy, David A. & Feng, Hongli, 2016. "The Effects of Crop Insurance Subsidies and Sodsaver on Land-Use Change," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 41(2), May.
    7. Bousebata, Meryem & Enjolras, Geoffroy & Girard, Stéphane, 2020. "The dependence structure between yields and prices: A copula-based model of French farm income," 2020 Annual Meeting, July 26-28, Kansas City, Missouri 304313, Agricultural and Applied Economics Association.
    8. Liu, Xiaoliang & Xu, Wei & Odening, Martin, 2011. "Can crop yield risk be globally diversified?," SFB 649 Discussion Papers 2011-018, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    9. Seyyed Ali Zeytoon Nejad Moosavian & Barry K. Goodwin, 2021. "Flexible modelling of multivariate risks in pricing margin protection insurance: modelling portfolio risks with mixtures of mixtures," Applied Economics, Taylor & Francis Journals, vol. 53(4), pages 411-440, January.
    10. Angelo Frascarelli & Simone Del Sarto & Giada Mastandrea, 2021. "A New Tool for Covering Risk in Agriculture: The Revenue Insurance Policy," Risks, MDPI, vol. 9(7), pages 1-16, July.
    11. Bokusheva, Raushan, 2010. "Measuring the dependence structure between yield and weather variables," MPRA Paper 22786, University Library of Munich, Germany.
    12. Songjiao Chen & William W. Wilson & Ryan Larsen & Bruce Dahl, 2015. "Investing in Agriculture as an Asset Class," Agribusiness, John Wiley & Sons, Ltd., vol. 31(3), pages 353-371, June.
    13. Feng, Xiaoguang & Hayes, Dermot, 2014. "Is Government Involvement Really Necessary: Implications for Systemic Risk and Crop Reinsurance Contracts," 2014 AAEA: Crop Insurance and the 2014 Farm Bill Symposium: Implementing Change in U.S. Agricultural Policy, October 8-9, 2014, Louisville, KY 184241, Agricultural and Applied Economics Association.
    14. Larsen, Ryan A. & Leatham, David J. & Mjelde, James W. & Wolfley, Jared L., 2008. "Geographical Diversification: An Application of Copula Based CVaR," 2008 Agricultural and Rural Finance Markets in Transition, September 25-26, 2008, Kansas City, Missouri 119533, Regional Research Committee NC-1014: Agricultural and Rural Finance Markets in Transition.
    15. Ostap Okhrin & Martin Odening & Wei Xu, 2013. "Systemic Weather Risk and Crop Insurance: The Case of China," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(2), pages 351-372, June.
    16. Mohit Anand & Ruiqing Miao & Madhu Khanna, 2019. "Adopting bioenergy crops: Does farmers’ attitude toward loss matter?," Agricultural Economics, International Association of Agricultural Economists, vol. 50(4), pages 435-450, July.
    17. Mubenga-Tshitaka, Jean-Luc & Muteba Mwamba, John W. & Dikgang, Johane & Gelo, Dambala, 2021. "Risk spillover between climate variables and the agricultural commodity market in East Africa," EconStor Preprints 243160, ZBW - Leibniz Information Centre for Economics.
    18. Željko Kokot & Todor Marković & Sanjin Ivanović & Maja Meseldžija, 2020. "Whole-Farm Revenue Protection as a Factor of Economic Stability in Crop Production," Sustainability, MDPI, vol. 12(16), pages 1-11, August.
    19. Rong-Gang Cong & Mette Termansen & Mark V. Brady, 2017. "Managing soil natural capital: a prudent strategy for adapting to future risks," Annals of Operations Research, Springer, vol. 255(1), pages 439-463, August.
    20. Miao, Ruiqing & Khanna, Madhu, 2015. "Costs of Meeting the Cellulosic Biofuel Mandate with an Energy Crop with Establishment Cost and Yield Risk: Implications for Policy," 2015 Conference, August 9-14, 2015, Milan, Italy 212458, International Association of Agricultural Economists.
    21. Larsen, Ryan A. & Vedenov, Dmitry V. & Leatham, David J., 2009. "Enterprise-level risk assessment of geographically diversified commercial farms: a copula approach," 2009 Annual Meeting, January 31-February 3, 2009, Atlanta, Georgia 46763, Southern Agricultural Economics Association.
    22. Nasreldin, Osama Ahmed & Devesa, Teresa Serra, 2014. "Price volatility of food staples. The case of millet in Niger," 2014 International Congress, August 26-29, 2014, Ljubljana, Slovenia 182728, European Association of Agricultural Economists.
    23. Ghahremanzadeh, Mohammad & Mohammadrezaei, Rassul & Dashti, Ghader & Ainollahi, Moharram, 2018. "Designing a whole-farm revenue insurance for agricultural crops in Zanjan province of Iran," Economia Agraria y Recursos Naturales, Spanish Association of Agricultural Economists, vol. 17(02), January.

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