hard · FRM Part 2 Market Risk

In Parametric Tail Modeling, a practitioner must choose between the Block Maxima approach and the Peaks Over Threshold (POT) approach.

Which statement correctly identifies the distributional choice and its implications for data efficiency?

  1. POT is less efficient because it requires a much larger number of observed blocks to converge to the fitted GPD than Block Maxima needs for its GEV tail model.
  2. Both approaches actually assume a Normal tail distribution, which conveniently keeps the 'Square-Root-of-Time' scaling rule valid for a 10-day VaR figure.
  3. Block Maxima uses the Generalized Pareto Distribution (GPD) for its single largest fitted tail observation; POT instead uses the GEV to model violation frequency.
  4. Block Maxima uses the Generalized Extreme Value (GEV) distribution; POT uses the Generalized Pareto Distribution (GPD) and is generally more data-efficient.

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