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pantera1 [17]
3 years ago
6

Suppose that the standard deviation of quarterly changes in the prices of a commodity is $0.65, the standard deviation of quarte

rly changes in a futures price on the commodity is $0.81, and the coefficient of correlation between the two changes is 0.8. What is the optimal hedge ratio for a three-month contract? What does it mean?
Business
1 answer:
Natasha_Volkova [10]3 years ago
6 0

Answer:

The optimal hedge is 0.642 and it means that the size of the future positions should be 64.2% of the exposure of the company in a 3 month-hedge.

Explanation:

optimal hedge ratio

= coefficient of correlation*(standard deviation of quarterly changes in the prices of a commodity/standard deviation of quarterly changes in a futures price on the commodity)

= 0..8*(0.65/0.81)

= 0.642

Therefore, The optimal hedge is 0.642 and it means that the size of the future positions should be 64.2% of the exposure of the company in a 3 month-hedge.

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