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| Mô hình Fourier TGARCH× | Mô hình TGARCH (Threshold GARCH)× | |
|---|---|---|
| Lĩnh vực | Kinh tế lượng | Kinh tế lượng |
| Họ | Regression model | Regression model |
| Năm ra đời≠ | 1994 / 2012 | 1993-1994 |
| Người khởi xướng≠ | Zakoian (1994) for TGARCH; Enders and Lee (2012) for Fourier approximation framework | Zakoian (1994); Glosten, Jagannathan & Runkle (1993) |
| Loại≠ | Volatility model with asymmetric leverage and Fourier smooth breaks | Asymmetric volatility model |
| Công trình gốc | Zakoian, J.-M. (1994). Threshold heteroskedastic models. Journal of Economic Dynamics and Control, 18(5), 931-955. DOI ↗ | Zakoian, J.-M. (1994). Threshold heteroskedastic models. Journal of Economic Dynamics and Control, 18(5), 931-955. DOI ↗ |
| Tên gọi khác | Fourier TGARCH, Fourier Threshold GARCH, Fourier GJR-GARCH, smooth structural break TGARCH | Threshold GARCH, TGARCH, GJR-GARCH, asymmetric GARCH |
| Liên quan≠ | 5 | 6 |
| Tóm tắt≠ | The Fourier TGARCH model extends the Threshold GARCH framework by embedding Fourier trigonometric terms in the conditional variance equation to capture smooth, gradual structural breaks in volatility dynamics. It jointly models asymmetric leverage effects — where negative shocks amplify volatility more than positive shocks of the same magnitude — and time-varying intercept shifts caused by unobserved structural change. | 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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