Explanation
The leverage ratio is calculated as the reciprocal of the margin requirement.
Formula:
Leverage Ratio=Margin Requirement1
Given:
- Minimum margin requirement = 55% = 0.55
Calculation:
Leverage Ratio=0.551=1.81818...
Rounding:
Why this is correct:
- When you have a 55% margin requirement, it means you need to put up 55% of the position's value as your own capital.
- The remaining 45% is borrowed.
- The leverage ratio represents how much total position you control relative to your equity.
- With 55% equity, you control 100% of the position, so leverage = 100/55 = 1.818.
Verification:
- Option A (1.55) would correspond to a margin requirement of 1/1.55 ≈ 64.5%
- Option C (2.22) would correspond to a margin requirement of 1/2.22 ≈ 45.0%
Therefore, the maximum leverage ratio is closest to 1.82.