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푸리에 GARCH 모형×EGARCH 모형 (Exponential GARCH)×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도2000–20121991
창시자Ludlow & Enders (2000); extended by Enders & Lee (2012) Fourier frameworkDaniel B. Nelson
유형Volatility modelVolatility / conditional variance model
원전Ludlow, J., & Enders, W. (2000). Estimating non-linear ARMA models using Fourier coefficients. International Journal of Forecasting, 16(3), 333–347. DOI ↗Nelson, D. B. (1991). Conditional heteroskedasticity in asset returns: A new approach. Econometrica, 59(2), 347–370. DOI ↗
별칭Fourier GARCH, Fourier-flexible GARCH, GARCH with Fourier terms, smooth-break GARCHExponential GARCH, EGARCH, Nelson EGARCH, log-GARCH
관련56
요약The 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 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.
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