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Fourier TGARCH×DCC-GARCH-model (Dynamisk Betinget Korrelation)×
FagområdeØkonometriØkonometri
FamilieRegression modelRegression model
Oprindelsesår1994 / 20122002
OphavspersonZakoian (1994) for TGARCH; Enders and Lee (2012) for Fourier approximation frameworkRobert F. Engle
TypeVolatility model with asymmetric leverage and Fourier smooth breaksMultivariate volatility model
Oprindelig kildeZakoian, J.-M. (1994). Threshold heteroskedastic models. Journal of Economic Dynamics and Control, 18(5), 931-955. DOI ↗Engle, R. F. (2002). Dynamic conditional correlation: A simple class of multivariate generalized autoregressive conditional heteroskedasticity models. Journal of Business and Economic Statistics, 20(3), 339-350. DOI ↗
AliasserFourier TGARCH, Fourier Threshold GARCH, Fourier GJR-GARCH, smooth structural break TGARCHDCC-GARCH, Dynamic Conditional Correlation GARCH, Engle DCC model, multivariate DCC
Relaterede55
ResuméThe 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 DCC-GARCH model, introduced by Engle (2002), extends univariate GARCH to capture time-varying correlations between multiple financial time series. It decomposes the multivariate conditional covariance matrix into individual volatility processes and a dynamic correlation matrix, allowing correlations to fluctuate over time while remaining computationally tractable even with many series.
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