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Using a Farmer's Beta for Improved Estimation of Actual Production History (APH) Yields

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  • Carriquiry, Miguel A.
  • Babcock, Bruce A.
  • Hart, Chad E.

Abstract

The effect of sampling error in estimation of farmers' mean yields for crop insurance purposes is explored using farm-level corn yield data in Iowa from 1990 to 2000 and Monte Carlo simulations. We find that sampling error combined with nonlinearities in the insurance indemnity function will result in empirically estimated crop insurance rates that exceed actuarially fair values by between 2 and 16 percent, depending on the coverage level and the number of observations used to estimate mean yields. Accounting for the adverse selection caused by sampling error results in crop insurance rates that will exceed fair values by between 42 and 127 percent. We propose a new estimator for mean yields based on a common decomposition of farm yields into systemic and idiosyncratic components. The proposed estimator reduces sampling variance by approximately 45 percent relative to the current estimator.

Suggested Citation

  • Carriquiry, Miguel A. & Babcock, Bruce A. & Hart, Chad E., 2005. "Using a Farmer's Beta for Improved Estimation of Actual Production History (APH) Yields," Hebrew University of Jerusalem Archive 18600, Hebrew University of Jerusalem.
    • Handle: RePEc:ags:hebarc:18600
    DOI: 10.22004/ag.econ.18600
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    1. Bruce A. Babcock & Chad E. Hart & Dermot J. Hayes, 2004. "Actuarial Fairness of Crop Insurance Rates with Constant Rate Relativities," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 86(3), pages 563-575.
    2. Bharat Ramaswami & Terry L. Roe, 2004. "Aggregation in Area-Yield Crop Insurance: The Linear Additive Model," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 86(2), pages 420-431.
    3. Jerry R. Skees & Michael R. Reed, 1986. "Rate Making for Farm-Level Crop Insurance: Implications for Adverse Selection," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 68(3), pages 653-659.
    4. Miller, Stephen E. & Kahl, Kandice H. & Rathwell, P. James, 2000. "Evaluation Of Crop Insurance Premium Rates For Georgia And South Carolina Peaches," Journal of Agribusiness, Agricultural Economics Association of Georgia, vol. 18(3), pages 1-15.
    5. James A. Vercammen, 2000. "Constrained Efficient Contracts for Area Yield Crop Insurance," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 82(4), pages 856-864.
    6. Olivier Mahul, 1999. "Optimum area yield crop insurance," Post-Print hal-01952090, HAL.
    7. Mario J. Miranda, 1991. "Area-Yield Crop Insurance Reconsidered," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 73(2), pages 233-242.
    8. 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.
    9. Olivier Mahul, 1999. "Optimum Area Yield Crop Insurance," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 81(1), pages 75-82.
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    2. Sung, Jae-hoon & Miranowski, John A., "undated". "Adaptive Behavior of U.S. Farms to Climate and Risk," 2015 AAEA & WAEA Joint Annual Meeting, July 26-28, San Francisco, California 205787, Agricultural and Applied Economics Association.

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