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Investigate six VaR breaches

Backtest a VaR model · Fictional case

The situation

A desk records six exceptions in 250 matched daily observations for a 99% one-day VaR model. Four occur in the same week.

Your task

Compare observed and expected breaches and suggest a review.

Reveal step-by-step solution
  1. Set up the problem

    At 1% model exception probability, expected count = 250 × 0.01 = 2.5.

  2. Work through the numbers

    Observed rate = 6 ÷ 250 = 2.4%. The cluster suggests reviewing volatility dynamics and data.

  3. Interpret the result

    Check clean versus actual P&L and run formal coverage and independence diagnostics before deciding whether recalibration is needed.

What to remember

Evaluate breach count and timing. Keep forecast horizon and realized P&L aligned.

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