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Modelul de Volatilitate Stocastică (Heston)×Modele cu memorie lungă (ARFIMA, FIGARCH)×
DomeniuFinanțeFinanțe
FamilieRegression modelRegression model
Anul apariției19931980
Autorul originalSteven L. HestonGranger & Joyeux (ARFIMA); Baillie, Bollerslev & Mikkelsen (FIGARCH)
TipContinuous-time stochastic volatility modelFractionally integrated time series model
Sursa seminalăHeston, 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 ↗Granger, C. W. J. & Joyeux, R. (1980). An Introduction to Long-Memory Time Series Models and Fractional Differencing. Journal of Time Series Analysis, 1(1), 15-29. DOI ↗
Denumiri alternativeHeston model, SV model, continuous-time stochastic volatility, Stokastik Volatilite Modeli (Heston, SV)ARFIMA, FIGARCH, fractionally integrated models, fractional integration
Înrudite54
RezumatThe 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.Long-memory models are fractional-integration methods that capture genuine long memory through a hyperbolically decaying autocorrelation structure. ARFIMA, introduced by Granger and Joyeux (1980), models long memory in return series, while FIGARCH, introduced by Baillie, Bollerslev and Mikkelsen (1996), captures long memory in volatility series; the parameter d measures the degree of fractional integration.
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ScholarGateCompară metode: Stochastic Volatility Model · Long-Memory Models. Preluat la 2026-06-17 de pe https://scholargate.app/ro/compare