Hedging Role of Options and Futures Under Joint Price, Basis and Production Risk, The
This paper analyzes the optimal production and hedging decisions for firms 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 show that joint production and price risk lead to a hedging role for options. Risk averse firms that can use each hedging instrument will generally 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.