Question

A trader buys two July futures contracts on frozen orange juice concentrate. Each contract is for the delivery of 15,000 pounds. The current futures price is 160 cents per pound, the initial margin is $$\$ 6,000$$ per contract, and the maintenance margin is $$\$ 4,5004$$ per contract. What price change would lead to a margin call? Under what circumstances could $$\$ 2,000$$ be withdrawn from the margin account?

   A trader buys two July futures contracts on frozen orange juice concentrate. Each contract is for the delivery of 15,000 pounds. The current futures price is 160 cents per pound, the initial margin is $$\$ 6,000$$ per contract, and the maintenance margin is $$\$ 4,5004$$ per contract. What price change would lead to a margin call? Under what circumstances could $$\$ 2,000$$ be withdrawn from the margin account?
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Options, Futures, and Other Derivatives
Options, Futures, and Other Derivatives
John C. Hull 10th Edition
Chapter 2, Problem 11 ↓

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Since each contract has an initial margin of $6,000, the total initial margin for the two contracts is $6,000 x 2 = $12,000.  Show more…

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A trader buys two July futures contracts on frozen orange juice concentrate. Each contract is for the delivery of 15,000 pounds. The current futures price is 160 cents per pound, the initial margin is $$\$ 6,000$$ per contract, and the maintenance margin is $$\$ 4,5004$$ per contract. What price change would lead to a margin call? Under what circumstances could $$\$ 2,000$$ be withdrawn from the margin account?
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Key Concepts

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Excess Margin Withdrawals
When the futures position experiences gains, the margin account balance can rise above the initial margin level. In such circumstances, the trader may withdraw the excess funds, provided that after the withdrawal the remaining balance is at or above the required margin levels. This allows traders to manage liquidity while maintaining adequate margin coverage for open positions.
Price Movement Impacts
Price movements directly affect the value of a futures position. An adverse movement causes a loss in the account, which reduces the margin balance. If the loss is significant enough to drop the account balance below the maintenance margin, a margin call is triggered. Conversely, favorable price movements increase the margin balance above the initial margin requirement.
Margin Call
A margin call occurs when the equity in a trader’s account falls below the maintenance margin requirement. It is a demand by the broker to deposit additional funds to bring the account back up to the initial margin level. This mechanism is designed to ensure that the trader's account can cover potential losses.
Margin Requirements
Margin requirements refer to the funds that traders must deposit to open and maintain a position in a futures contract. There are two key types: the initial margin, which is the amount required to enter a position, and the maintenance margin, which is the minimum equity that must be maintained in the account to keep the position open without triggering a margin call.
Futures Contracts
A futures contract is a standardized legal agreement to buy or sell a specific quantity of a commodity or financial instrument at a predetermined price at a specified time in the future. These contracts are typically traded on exchanges, which facilitate liquidity and standardize the terms of the trade, making them an integral aspect of commodities and derivative markets.

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A trader buys two July futures contracts on frozen orange juice. Each contract is for the delivery of 15,000 pounds. The current futures price is 160 cents per pound, the initial margin is $6,000 per contract, and the maintenance margin is $4,500 per contract. What price change would lead to a margin call? Under what circumstances could $2,000 be withdrawn from the margin account? Please explain each step.

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