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Abstract
The assumption in standard expected utility model formulations that the coefficient of risk
aversion is a constant is potentially unrealistic. This study takes the standard linear expected meanvariance
problem and replaces the coefficient of risk aversion with a function of risk aversion,
allowing risk to be depicted as a constraint that farmers face. Treating output prices as stochastic,
the theoretical formulation measures the impact price variability itself has on risk preferences.
Acreage response elasticities are also estimated as a function of prices and price variances using
U.S. county-level data for corn, soybean, and wheat producers.