Methoden vergleichen

	Fourier-GARCH-Modell	Das TGARCH-Modell (Threshold GARCH)
Fachgebiet	Ökonometrie	Ökonometrie
Familie	Regression model	Regression model
Entstehungsjahr	2000–2012	1993-1994
Urheber	Ludlow & Enders (2000); extended by Enders & Lee (2012) Fourier framework	Zakoian (1994); Glosten, Jagannathan & Runkle (1993)
Typ	Volatility model	Asymmetric volatility model
Wegweisende Quelle	Ludlow, J., & Enders, W. (2000). Estimating non-linear ARMA models using Fourier coefficients. International Journal of Forecasting, 16(3), 333–347.	Zakoian, J.-M. (1994). Threshold heteroskedastic models. Journal of Economic Dynamics and Control, 18(5), 931-955.
Aliasnamen	Fourier GARCH, Fourier-flexible GARCH, GARCH with Fourier terms, smooth-break GARCH	Threshold GARCH, TGARCH, GJR-GARCH, asymmetric GARCH
Verwandt	5	6
Zusammenfassung	The Fourier GARCH model embeds trigonometric Fourier terms into a standard GARCH framework to capture smooth, gradual shifts in the conditional variance process without requiring knowledge of exact structural break dates. By approximating unknown break patterns with sinusoidal functions, it jointly models volatility clustering and time-varying unconditional variance.	The Threshold GARCH (TGARCH) model extends the standard GARCH framework by allowing positive and negative return shocks to have asymmetric effects on conditional variance. Negative shocks — bad news — typically amplify volatility more than positive shocks of the same magnitude, a stylised fact known as the leverage effect. TGARCH captures this asymmetry through a threshold indicator that switches on when the previous period's shock was negative.