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Merton Jump-Diffusion Modell×GARCH-modell (volatilitetsprognoser)×
FagfeltFinansØkonometri
FamilieRegression modelRegression model
Opprinnelsesår19761986
OpphavspersonRobert C. MertonTim Bollerslev
TypeContinuous-time asset price model (diffusion plus Poisson jumps)Conditional volatility model
Opprinnelig kildeMerton, R. C. (1976). Option Pricing When Underlying Stock Returns Are Discontinuous. Journal of Financial Economics, 3(1–2), 125–144. DOI ↗Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307–327. DOI ↗
AliasMerton jump-diffusion, jump-diffusion process, Atlama Difüzyon Modeli (Merton Jump-Diffusion)GARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini)
Relaterte45
SammendragThe Merton Jump-Diffusion model, introduced by Robert C. Merton in 1976, extends Geometric Brownian Motion by adding sudden price jumps generated by a Poisson process. It captures the volatility smile and the fat-tailed return behaviour that standard Black-Scholes cannot explain, and is widely used in option pricing and risk management.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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ScholarGateSammenlign metoder: Jump-Diffusion Model · GARCH Model. Hentet 2026-06-15 fra https://scholargate.app/no/compare