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Merton Jump-Diffusion Model×HAR-RV-modellen for realiseret volatilitet×
FagområdeFinansieringFinansiering
FamilieRegression modelRegression model
Oprindelsesår19762009
OphavspersonRobert C. MertonFulvio Corsi
TypeContinuous-time asset price model (diffusion plus Poisson jumps)Linear time-series regression for volatility
Oprindelig kildeMerton, R. C. (1976). Option Pricing When Underlying Stock Returns Are Discontinuous. Journal of Financial Economics, 3(1–2), 125–144. DOI ↗Corsi, F. (2009). A Simple Approximate Long-Memory Model of Realized Volatility. Journal of Financial Econometrics, 7(2), 174–196. DOI ↗
AliasserMerton jump-diffusion, jump-diffusion process, Atlama Difüzyon Modeli (Merton Jump-Diffusion)HAR-RV, heterogeneous autoregressive realized volatility, Corsi HAR model, HAR-RV Modeli (Heterogeneous Autoregressive Realized Volatility)
Relaterede45
ResuméThe 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 HAR-RV model, introduced by Fulvio Corsi in 2009, forecasts realized volatility by decomposing it into daily, weekly, and monthly components. It is a simple linear regression that mirrors how market participants with different investment horizons react to volatility, and it naturally captures the long-memory behaviour of volatility.
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