
Explanation:
B is correct. The optimal hedge ratio is estimated by multiplying the correlation by the ratio of standard deviation of spot price to standard deviation of hedge price:
.
The standard deviation is the square root of variance:
A is incorrect. The standard deviations are reversed.
C is incorrect. This uses the ratio of standard deviations without the correlation multiplier.
D is incorrect. It uses the variances instead of the standard deviations.
Learning Objective: Define cross hedging and compute and interpret the hedge ratio and hedge effectiveness.
Reference: Global Association of Risk Professionals, Financial Markets and Products (New York, NY: 2021).
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Q-75. An analyst at a logistics company is asked to recommend an appropriate hedging strategy using heating oil futures to hedge the volume of jet fuel required by its cargo planes. The analyst gathers the following relevant information about the spot price of jet fuel and the price of the appropriate heating oil futures contract:
What is the analyst's best estimate for the optimal hedge ratio?
A
0.60
B
1.07
C
1.33
D
1.42
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