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FRM Part II · FRM Exam Part II · Backtesting VaR

A bank's internal model produces 99% one-day VaR. Over the last 250 trading days it records 7 exceptions. Under the Basel traffic light framework, which outcome is most accurate?

Seven exceptions is the yellow zone. Supervisors add a table-based plus factor, which is 0.85 at seven exceptions, so the multiplier becomes about 3.85. The automatic increase to 4.0 applies only to the red zone, at ten or more exceptions.

  1. AGreen zone; the multiplier stays at the minimum of 3.0
  2. BYellow zone; the multiplier increase is set by a supervisory table and is between 0 and 1 added to the baseCorrect
  3. CRed zone; the model is automatically rejected and the multiplier rises to 4.0
  4. DYellow zone; the multiplier is automatically increased to 4.0

Explanation

Seven exceptions lie in the yellow zone (5-9). The plus factor is a table value that rises with exceptions (0.65 for 5, 0.75 for 6, 0.85 for 7, 0.92 for 8, 0.97 for 9), giving a multiplier of 3.85 for 7. A 4.0 multiplier applies only in the red zone (10+).

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