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| GJR-GARCH (Asymmetrisk GARCH)× | ARCH-model (Autoregressiv Betinget Heteroskedasticitet)× | GARCH-model (volatilitetsprognoser)× | |
|---|---|---|---|
| Fagområde | Økonometri | Økonometri | Økonometri |
| Familie | Regression model | Regression model | Regression model |
| Oprindelsesår≠ | 1993 | 1982 | 1986 |
| Ophavsperson≠ | Glosten, Jagannathan & Runkle (1993); Zakoian (1994) | Robert F. Engle | Tim Bollerslev |
| Type≠ | Asymmetric conditional volatility model | Conditional volatility model | Conditional volatility model |
| Oprindelig kilde≠ | 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 ↗ | Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. DOI ↗ | Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307–327. DOI ↗ |
| Aliasser | asymmetric GARCH, leverage GARCH, TGARCH, GJR-GARCH — Asimetrik GARCH (Glosten-Jagannathan-Runkle) | ARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance model | GARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini) |
| Relaterede≠ | 5 | 6 | 5 |
| Resumé≠ | 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). | The ARCH model, introduced by Robert Engle in 1982, captures time-varying volatility in financial and macroeconomic time series. It models the conditional variance of today's error as a function of past squared errors, explaining why volatile periods cluster together — a phenomenon known as volatility clustering. | The Generalized Autoregressive Conditional Heteroskedasticity (GARCH) model, introduced by Tim Bollerslev in 1986, models the time-varying conditional variance of a financial time series. It captures volatility clustering and the ARCH effect, and is the standard tool for estimating risk and volatility in return series. |
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