Question: Three corn producers (farmer A, B and C) are producing the amount of corns based on the corn price as follows: Corn Price ($

Three corn producers (farmer A, B and C) are producing the amount

 

Three corn producers (farmer A, B and C) are producing the amount of corns based on the corn price as follows: Corn Price ($ per bushel) 1 1 2 2 3 3 A (million bushel) 1.0 1.0 1.0 1.0 1.0 1.0 Production Scenario B (million bushel) 1.8 1.7 1.6 1.5 1.4 1.3 C (million bushel) 1.3 1.4 1.6 1.7 1.8 1.9 Assume that each price of corn and the quantity are equally likely to be occurred. (a) Find the unhedged revenue for farmer A; (b) Find the expected quantity hedged revenue and the variance-minimizing hedge ratio revenue for farmer B and farmer C; (c) Find the variability (standard deviation) for all the revenues; (d) Comment the revenue variabilities.

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