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FRM Part II · FRM Exam Part II · Margin (Collateral) and Settlement

A bank's IM model for a netting set uses a 99% one-sided confidence level over a 10-day margin period of risk. The 1-day 99% loss estimate for the portfolio is USD 2.0 million, with returns assumed i.i.d. normal. What is the approximate IM requirement using square-root-of-time scaling?

The IM is about USD 6.32 million, found by scaling the 1-day 99% loss of USD 2.0 million by the square root of 10, roughly 3.162. Multiplying by 10 would wrongly assume losses grow linearly with time under i.i.d. returns.

  1. AUSD 6.32 millionCorrect
  2. BUSD 20.0 million
  3. CUSD 2.0 million
  4. DUSD 3.16 million

Explanation

Scale by the square root of 10: 2.0 × 3.162 = 6.32 million. Using 10 directly (20.0) ignores square-root scaling; 3.16 is just the scaling factor; 2.0 ignores the horizon.

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