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FRM Part II · FRM Exam Part II · Capital Regulation Before the Global Financial Crisis

A bank's trading desk reports a 1-day 99% VaR of $2.0 million. Its 10-day 99% VaR is estimated by the square-root-of-time rule. The 60-day average of 10-day VaR is equal to the current figure, and the supervisor applies a multiplier of 3 under the 1996 Amendment (ignore specific risk). What is the general market risk capital charge, to the nearest $0.01 million?

The capital charge is $18.97 million. Scale the 1-day VaR of $2.0 million to ten days with the square root of ten, giving $6.32 million, then apply the regulatory multiplier of 3. Using the 1-day figure or linear scaling gives wrong answers.

  1. A$6.00 million
  2. B$18.97 millionCorrect
  3. C$12.65 million
  4. D$60.00 million

Explanation

10-day VaR = 2.0 × √10 = 6.3246 million. Multiply by 3 gives 18.97 million. Using 1-day VaR with the multiplier gives 6.00 (missed horizon scaling); 2×√10×2 would be 12.65 (wrong multiplier); 60 uses 10 days linearly times 3.

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