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| Model DCC-GARCH amb paràmetres variables en el temps (TVP-DCC-GARCH)× | Model de volatilitat estocàstica (Heston)× | |
|---|---|---|
| Camp≠ | Econometria | Finances |
| Família | Regression model | Regression model |
| Any d'origen≠ | 2002 (DCC-GARCH); TVP extension 2010s | 1993 |
| Autor original≠ | Robert F. Engle (DCC-GARCH); TVP extension developed in applied finance literature | Steven L. Heston |
| Tipus≠ | Multivariate volatility model with time-varying correlation | Continuous-time stochastic volatility model |
| Font seminal≠ | Engle, R. (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 ↗ | Heston, S. L. (1993). A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options. Review of Financial Studies, 6(2), 327-343. DOI ↗ |
| Àlies | TVP-DCC-GARCH, time-varying DCC-GARCH, dynamic conditional correlation GARCH with TVP, TVP dynamic conditional correlation model | Heston model, SV model, continuous-time stochastic volatility, Stokastik Volatilite Modeli (Heston, SV) |
| Relacionats≠ | 4 | 5 |
| Resum≠ | The TVP-DCC-GARCH model extends the Dynamic Conditional Correlation GARCH framework by allowing not only the pairwise correlations but also the underlying model parameters to evolve continuously over time. It captures structural shifts in volatility dynamics and cross-asset dependence, making it essential for financial risk modelling in non-stationary environments. | The stochastic volatility model is a continuous-time option-pricing and risk framework in which volatility follows its own random process rather than staying constant. The Heston model, introduced by Steven Heston in 1993, gives the variance a mean-reverting square-root (CIR) dynamic and yields a closed-form option price; it is the continuous-time counterpart of GARCH. |
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