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Fourier EGARCH: Modelagem de Volatilidade com Quebras Estruturais Suaves×Heterocedasticidade Condicional Autorregressiva Generalizada (GARCH)×GJR-GARCH (GARCH Assimétrico)×
ÁreaEconometriaEconometriaEconometria
FamíliaRegression modelRegression modelRegression model
Ano de origem2010s19861993
Autor originalExtension of Nelson (1991) EGARCH using Fourier approximation frameworksTim BollerslevGlosten, Jagannathan & Runkle (1993); Zakoian (1994)
TipoVolatility model with smooth structural breaksConditional volatility modelAsymmetric conditional volatility model
Fonte seminalEnders, 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 ↗Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307-327. DOI ↗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. The Journal of Finance, 48(5), 1779-1801. DOI ↗
Outros nomesFourier-EGARCH, F-EGARCH, Fourier exponential GARCH, smooth structural break EGARCHGARCH(1,1), generalized ARCH, conditional volatility model, GARCH Modeliasymmetric GARCH, leverage GARCH, TGARCH, GJR-GARCH — Asimetrik GARCH (Glosten-Jagannathan-Runkle)
Relacionados355
ResumoFourier 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.GARCH is an econometric model for the time-varying volatility of financial time series, introduced by Tim Bollerslev in 1986 as a generalisation of Engle's ARCH model. It treats the conditional variance as a function of past squared shocks and past variances, capturing the volatility clustering seen in returns.GJR-GARCH is a variant of the GARCH conditional-volatility model that captures the asymmetric effect of negative shocks on volatility using an indicator variable. It was introduced by Glosten, Jagannathan and Runkle (1993), with a closely related threshold formulation by Zakoian (1994).
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ScholarGateComparar métodos: Fourier EGARCH · GARCH · GJR-GARCH. Recuperado em 2026-06-20 de https://scholargate.app/pt/compare