medium · FRM Part 1 Valuation and Risk Models

During a backtest of a 99% 1-day VaR model over 250 days, a bank observes 8 exceptions (days where losses exceeded VaR).

How should the bank interpret this result using the Basel traffic light system?

  1. The model is correctly calibrated because 8 exceptions is within the normal statistical fluctuation for a 95% confidence interval.
  2. The model is likely understating risk and falls into the 'Red zone' (or high Yellow), as the expected number of exceptions was only 2.5.
  3. The model is in the 'Green zone' because the number of exceptions is less than the 5% significance level often used in hypothesis testing (12.5 days).
  4. The bank should decrease its capital requirement because the model proved to be conservative by identifying so many tail events.

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