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Okvir HJM×Model tržišta Libor×
OblastKvantitativne finansijeKvantitativne finansije
PorodicaRegression modelRegression model
Godina nastanka19921997
TvoracDavid Heath, Robert Jarrow, and Andrew MortonAlan Brace, Dariusz Gatarek, and Marek Musiela
TipInterest Rate FrameworkInterest Rate Model
Temeljni izvorHeath, 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 ↗Brace, A., Gatarek, D., & Musiela, M. (1997). The market model of interest rate dynamics. Mathematical Finance, 7(2), 127-155. DOI ↗
Drugi naziviForward Rate Model, No-Arbitrage Drift ConditionBGM Model, LMM
Srodne44
SažetakThe 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 LIBOR Market Model (BGM), developed by Brace, Gatarek, and Musiela (1997), is a multi-factor interest rate model that directly models forward LIBOR rates as lognormal processes. Unlike short-rate models, LMM naturally prices caplets at the market level and is the industry standard for valuing caps, floors, and exotic interest rate derivatives.
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ScholarGateUporedite metode: HJM Framework · Libor Market Model. Preuzeto 2026-06-18 sa https://scholargate.app/sr/compare