Calibration and Parameter Estimation in Models › Key Parameters

Michael BrenndoerferDecember 13, 20251 min read
Quantitative FinanceAll chapters
Part 8 of 15Econometrics and Statistical Modeling
Chapter 45Calibration and Parameter Estimation in Models › Key Parameters
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The key parameters for the GARCH(1,1) model are:

  • ω\omega: Constant baseline variance term.
  • α\alpha: ARCH parameter. Measures the reaction of volatility to recent return shocks (innovations).
  • β\beta: GARCH parameter. Measures the persistence of past variance.
  • μ\mu: Mean return parameter.