Suppose that you enter into a short futures contract to sell July silver for $5.15 per ounce on the New York Commodity Exchange. The size of the contract is 5,000 ounces. The initial margin is $4,000 and the maintenance margin is $3,000. Which of the following futures prices represents the smallest change that will lead to a margin call?Group of answer choices$4.95$5.35$5.40$5.15$5.05
Question
Suppose that you enter into a short futures contract to sell July silver for 4,000 and the maintenance margin is 4.955.405.05
Solution
The correct answer is $5.35.
Here's why:
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You have entered into a short futures contract, which means you have agreed to sell silver in the future at a price of $5.15 per ounce.
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If the futures price increases, you would be in a loss position because you have agreed to sell at a lower price.
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The initial margin is the amount of money you must have in your account at the time you enter into the contract, which is $4,000 in this case.
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The maintenance margin is the minimum amount of money you must have in your account after you have entered into the contract, which is $3,000 in this case.
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A margin call is made if the balance in your margin account falls below the maintenance margin.
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The futures price that represents the smallest change that will lead to a margin call is the price that would cause your margin account balance to fall just below the maintenance margin.
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In this case, if the futures price increases to 1,000 (which is the difference between 5.15, multiplied by the size of the contract, 5,000 ounces).
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This 3,000, which is the maintenance margin. Any further increase in the futures price would cause your margin account balance to fall below the maintenance margin, leading to a margin call.
Therefore, the futures price of $5.35 represents the smallest change that will lead to a margin call.
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