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HJM-rammeværket×Hull-White-modellen×
FagområdeKvantitativ finansKvantitativ finans
FamilieRegression modelRegression model
Oprindelsesår19921990
OphavspersonDavid Heath, Robert Jarrow, and Andrew MortonJohn C. Hull and Alan White
TypeInterest Rate FrameworkInterest Rate Model
Oprindelig kildeHeath, D., Jarrow, R. A., & Morton, A. (1992). Bond pricing and the term structure of interest rates: A new methodology for contingent claims valuation. Econometrica, 60(1), 77-105. DOI ↗Hull, J., & White, A. (1990). Pricing interest-rate-derivative securities. Review of Financial Studies, 3(4), 573-592. DOI ↗
AliasserForward Rate Model, No-Arbitrage Drift ConditionExtended Vasicek, Generalized Vasicek
Relaterede44
ResuméThe Heath-Jarrow-Morton (HJM) framework (1992) is a general no-arbitrage approach to modeling the entire term structure of forward rates. Unlike short-rate models, HJM works directly with forward rates f(t,T) and specifies their volatility; the drift is then determined by arbitrage constraints. This flexibility enables multi-factor modeling and accurate calibration to swaption matrices.The Hull-White model (1990) is a one-factor short-rate model with time-dependent mean reversion and volatility, designed to fit the initial yield curve exactly. It generalizes the Vasicek model to allow better calibration to observed bond and derivative prices, and is widely used for pricing interest rate exotics and managing interest rate risk.
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