Regression modelEconometrics / time series

Nonlinear TGARCH Model

The Nonlinear TGARCH (Threshold GARCH) model extends the standard GARCH framework by allowing positive and negative shocks of equal magnitude to exert different effects on future volatility. It models conditional volatility in terms of the absolute value of lagged residuals split by a sign threshold, capturing the well-documented leverage effect in financial return series.

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Sources

  1. Zakoian, J.-M. (1994). Threshold heteroskedastic models. Journal of Economic Dynamics and Control, 18(5), 931–955. DOI: 10.1016/0165-1889(94)90039-6
  2. Glosten, L. R., Jagannathan, R., & Runkle, D. E. (1993). On the relation between the expected value and the volatility of the nominal excess return on stocks. Journal of Finance, 48(5), 1779–1801. DOI: 10.1111/j.1540-6261.1993.tb05128.x

Related methods

ScholarGateNonlinear TGARCH model (Nonlinear Threshold GARCH Model). Retrieved 2026-06-04 from https://scholargate.app/tr/econometrics/nonlinear-tgarch-model