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| Μη Γραμμικό Μοντέλο TGARCH× | Μοντέλο EGARCH (Exponential GARCH)× | Μοντέλο TGARCH (Threshold GARCH)× | |
|---|---|---|---|
| Πεδίο | Οικονομετρία | Οικονομετρία | Οικονομετρία |
| Οικογένεια | Regression model | Regression model | Regression model |
| Έτος προέλευσης≠ | 1993–1994 | 1991 | 1993-1994 |
| Δημιουργός≠ | Jean-Michel Zakoian; related work by Glosten, Jagannathan & Runkle | Daniel B. Nelson | Zakoian (1994); Glosten, Jagannathan & Runkle (1993) |
| Τύπος≠ | Conditional heteroskedasticity model | Volatility / conditional variance model | Asymmetric volatility model |
| Θεμελιώδης πηγή≠ | Zakoian, J.-M. (1994). Threshold heteroskedastic models. Journal of Economic Dynamics and Control, 18(5), 931–955. DOI ↗ | Nelson, D. B. (1991). Conditional heteroskedasticity in asset returns: A new approach. Econometrica, 59(2), 347–370. DOI ↗ | Zakoian, J.-M. (1994). Threshold heteroskedastic models. Journal of Economic Dynamics and Control, 18(5), 931-955. DOI ↗ |
| Εναλλακτικές ονομασίες | NL-TGARCH, Nonlinear Threshold GARCH, Asymmetric TGARCH, GJR-GARCH variant | Exponential GARCH, EGARCH, Nelson EGARCH, log-GARCH | Threshold GARCH, TGARCH, GJR-GARCH, asymmetric GARCH |
| Συναφείς≠ | 4 | 6 | 6 |
| Σύνοψη≠ | 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. | The Exponential GARCH (EGARCH) model, introduced by Nelson (1991), extends the standard GARCH framework by modelling the logarithm of conditional variance. This ensures variance is always positive without parameter constraints and, crucially, allows negative and positive shocks to have asymmetric effects on volatility — capturing the well-known leverage effect in financial markets. | 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. |
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