To calculate the amount you must top-up to restore a 60% margin, we need to follow these steps:
1. Calculate the initial short sale proceeds:
400 shares * $30 per share = $12,000
2. Determine the minimum margin requirement:
$12,000 * 25% = $3,000
3. Calculate the current equity in the trade:
Initial short sale proceeds - Margin call = Current equity
$12,000 - $7,200 = $4,800
4. Determine the desired equity at a 60% margin:
$12,000 * 60% = $7,200
5. Calculate the top-up amount:
Desired equity - Current equity = Top-up amount
$7,200 - $4,800 = $2,400
Therefore, the amount you must top-up to restore to a 60% margin is $2,400.
The correct answer is (b) $2,400.