
Explanation:
Because the company does not want to tail the hedge, use the standard optimal hedge ratio:
Gold futures contract size is typically 100 ounces, so the number of contracts is:
Since the company is hedging a future sale, it should short 6,000 contracts.
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Q-156.3 Rolling the hedge forward
A gold mining company employs a stack-and-roll hedge by rolling over near-dated contracts in order to hedge the gold price risk of a future sale in one year of one million ounces of gold. The spot and near-dated futures prices of gold, respectively, are $1,500 and $1,600. The volatility of spot price changes is 20%, and the volatility of futures price changes is 30%. The correlation between spot and futures price changes is 0.90. The company does not want to tail the hedge. What is the initial trade?
A
Short 5,625 contracts
B
Short 6,000 contracts
C
Short 12,655 contracts
D
Short 13,500 contracts