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Modelo TGARCH com Fourier×Fourier EGARCH: Modelagem de Volatilidade com Quebras Estruturais Suaves×
ÁreaEconometriaEconometria
FamíliaRegression modelRegression model
Ano de origem1994 / 20122010s
Autor originalZakoian (1994) for TGARCH; Enders and Lee (2012) for Fourier approximation frameworkExtension of Nelson (1991) EGARCH using Fourier approximation frameworks
TipoVolatility model with asymmetric leverage and Fourier smooth breaksVolatility model with smooth structural breaks
Fonte seminalZakoian, J.-M. (1994). Threshold heteroskedastic models. Journal of Economic Dynamics and Control, 18(5), 931-955. DOI ↗Enders, W., & Lee, J. (2012). A unit root test using a Fourier series to approximate smooth breaks. Oxford Bulletin of Economics and Statistics, 74(4), 574-599. DOI ↗
Outros nomesFourier TGARCH, Fourier Threshold GARCH, Fourier GJR-GARCH, smooth structural break TGARCHFourier-EGARCH, F-EGARCH, Fourier exponential GARCH, smooth structural break EGARCH
Relacionados53
ResumoThe 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.Fourier EGARCH extends Nelson's (1991) Exponential GARCH model by embedding Fourier trigonometric terms in the conditional variance equation to capture smooth, gradual shifts in the unconditional variance level over time. This allows the model to handle structural breaks in volatility without requiring prior knowledge of their timing or number.
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ScholarGateComparar métodos: Fourier TGARCH · Fourier EGARCH. Recuperado em 2026-06-19 de https://scholargate.app/pt/compare