The design of an optimal area yield crop insurance contract

This article focuses on the design of a crop insurance contract when the indemnity is based on the aggregate yield of a surrounding geographical area. Coinsurance under a critical yield often provides an efficient sharing of systemic risk. Under a linear relationship between individual yield and aggregate yield, the optimal form depends on the individual beta coefficient, which measures the sensitivity of individual yield to aggregate yield. The optimal hedging position of the producer on the yield options market is to buy put options or call options depending upon whether his beta coefficient is positive or negative.