G. Moschini et H. Lapan, THE HEDGING ROLE OF OPTIONS AND FUTURES UNDER JOINT PRICE, BASIS, ANDPRODUCTION RISK, International economic review, 36(4), 1995, pp. 1025-1049
This paper analyzes the optimal production and hedging decisions for f
irms facing futures price, basis and production risk, assuming futures
and options can be used. Using CARA (constant absolute risk aversion)
utility and normal distributions, we derive an exact solution and sho
w that joint production and price risk lead to a hedging role for opti
ons. Risk averse firms that can use each hedging instrument will gener
ally have higher (expected) output. Using Iowa data for soybeans, the
parameters of the joint distribution of future prices, cash prices and
yields are estimated and the results are used to approximate optimal
hedging decisions for soybean producers.