The variance of six-monthly changes in the price of a commodity is 90.25, the variance of six-monthly changes in the futures price of the commodity is 110.25 and the coefficient of correlation between the two changes is 0.85. A company plans to buy 10,000 units of th commodity in 6 months, the size of the futures contract is on 1,000 units of the commodity and the delivery date of the contract is in 9 months. Consider the following statements. I. The optimal hedge ratio if the futures contract that is used to hedge is 0.6958. II. The hedging effectiveness of the futures contract is 0.85. II. The company should hedge by buying 7.69 futures contracts. IV. If the company hedges optimally, the difference between the variance of the unhedged position and the variance of the optimally hedged position would be 65.21.

The variance of six-monthly changes in the price of a commodity is 90.25, the variance of six-monthly changes in the futures price of the commodity is 110.25 and the coefficient of correlation between the two changes is 0.85. A company plans to buy 10,000 units of th commodity in 6 months, the size of the futures contract is on 1,000 units of the commodity and the delivery date of the contract is in 9 months. Consider the following statements. I. The optimal hedge ratio if the futures contract that is used to hedge is 0.6958. II. The hedging effectiveness of the futures contract is 0.85. II. The company should hedge by buying 7.69 futures contracts. IV. If the company hedges optimally, the difference between the variance of the unhedged position and the variance of the optimally hedged position would be 65.21.

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter16: Labor Markets

Section: Chapter Questions

Problem 16.9P

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