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| Model ARCH z parametrami zmiennymi w czasie (TVP-ARCH)× | Model zmienności stochastycznej (Heston)× | |
|---|---|---|
| Dziedzina≠ | Ekonometria | Finanse |
| Rodzina | Regression model | Regression model |
| Rok powstania≠ | 1980s–1990s | 1993 |
| Twórca≠ | Extension of Engle (1982) ARCH; TVP-ARCH formalization credited to Nicholls & Quinn and subsequent state-space literature | Steven L. Heston |
| Typ≠ | Conditional heteroscedasticity model with time-varying coefficients | Continuous-time stochastic volatility model |
| Źródło pierwotne≠ | Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. 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 ↗ |
| Inne nazwy | TVP-ARCH, time-varying ARCH, adaptive ARCH, state-space ARCH | Heston model, SV model, continuous-time stochastic volatility, Stokastik Volatilite Modeli (Heston, SV) |
| Pokrewne | 5 | 5 |
| Podsumowanie≠ | The Time-Varying Parameter ARCH (TVP-ARCH) model extends the classic ARCH framework by allowing both the conditional mean coefficients and the ARCH variance parameters to drift over time according to a random-walk or state-space process. This makes it possible to capture structural shifts in volatility dynamics without imposing a fixed parameter regime. | 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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