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FRM Part II · FRM Exam Part II · Beyond Exceedance-Based Backtesting of Value-at-Risk Models

Compared with a traditional exceedance-count backtest at the 99% level, what is a key advantage of PIT-based backtesting?

PIT-based backtesting assesses the entire predicted distribution using every observation, rather than just counting days when losses exceeded VaR. This gives more information and greater power to detect misspecification, though independence still must be tested and results are not expressed as currency loss amounts.

  1. AIt uses the entire predicted distribution and all observations, not only whether the loss exceeded VaRCorrect
  2. BIt requires fewer observations because only tail days are used
  3. CIt removes the need to assume anything about independence of forecasts
  4. DIt directly measures the magnitude of losses beyond VaR in currency units

Explanation

PIT backtests evaluate the whole forecast distribution at every observation, so they can detect misspecification in the body or both tails that an exceedance count would miss. They still rely on independence testing and do not give losses in currency terms. They use all observations, not just tail days.

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