Faye Sagler takes a long position in 12 August yttrium futures contracts at a contract price of $3.50 per unit. Each contract is for 1,000 units of yttrium. The required initial margin is $400 per contract and the maintenance margin is $300 per contract. August yttrium futures decline to $3.42, $3.38, and $3.31 on the next three trading days. On the first day that Sagler will be required to deposit additional cash into her futures account, the required deposit is closest to:
The initial margin is $400 × 12 = $4,800 and the maintenance margin level will be $300 × 12 = $3,600. Each $0.01 change in the price of yttrium changes the value of the account by $0.01 × 1,000 × 12 = $120.
Day |
Price |
Daily Change |
Gain/Loss |
Balance |
0 |
$3.50 |
|
|
$4,800 (initial margin) |
1 |
$3.42 |
-$0.08 |
-$960 |
$3,840 |
2 |
$3.38 |
-$0.04 |
-$480 |
$3,360 |
3 |
$3.31 |
-$0.07 |
-$840 |
$2,520 |
At the end of Day 2, the account balance has fallen below the maintenance margin level of $3,600, so Sagler must deposit enough cash to bring the balance back to the initial margin level of $4,800. The deposit is $4,800 - $3,360 = $1,440.
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