hard · FRM Part 1

A risk manager is utilizing a GARCH(1,1) model where the daily variance is updated as σ_t^2 = ω + α r_t-1^2 + β σ_t-1^2.

Given the parameters ω = 0.000002, α = 0.04, and β = 0.94, and a current daily volatility of 2.0%, what is the expected daily volatility 10 days from now?

  1. 1.89%
  2. 2.00%
  3. 1.41%
  4. 1.73%

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