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Mertonin hyppy-diffuusiomalli×GARCH-malli (volatiliteetin ennustaminen)×
TieteenalaRahoitusEkonometria
MenetelmäperheRegression modelRegression model
Syntyvuosi19761986
KehittäjäRobert C. MertonTim Bollerslev
TyyppiContinuous-time asset price model (diffusion plus Poisson jumps)Conditional volatility model
AlkuperäislähdeMerton, 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 ↗
RinnakkaisnimetMerton jump-diffusion, jump-diffusion process, Atlama Difüzyon Modeli (Merton Jump-Diffusion)GARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini)
Liittyvät45
TiivistelmäThe 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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