medium · FRM Part 1 Valuation and Risk Models

A risk manager observes that a 1-day Historical Simulation VaR at 99% confidence is $1 million.

If the manager scales this to a 10-day VaR using the √(10) rule, what assumption is being made?

  1. That the portfolio's underlying assets exhibit purely linear payoffs across the full range.
  2. That the VaR distribution being scaled by the square-root rule is fundamentally non-parametric in nature.
  3. That the historical P&L outcomes are independent and identically distributed (i.i.d.) over time.
  4. That the Historical Simulation look-back window is sufficiently long to genuinely capture full 10-day cycles.

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