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Libor Market Model×Rámec HJM×
OdborKvantitatívne financieKvantitatívne financie
RodinaRegression modelRegression model
Rok vzniku19971992
TvorcaAlan Brace, Dariusz Gatarek, and Marek MusielaDavid Heath, Robert Jarrow, and Andrew Morton
TypInterest Rate ModelInterest Rate Framework
Pôvodný zdrojBrace, A., Gatarek, D., & Musiela, M. (1997). The market model of interest rate dynamics. Mathematical Finance, 7(2), 127-155. DOI ↗Heath, 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 ↗
Ďalšie názvyBGM Model, LMMForward Rate Model, No-Arbitrage Drift Condition
Príbuzné44
ZhrnutieThe 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.The 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.
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ScholarGatePorovnať metódy: Libor Market Model · HJM Framework. Získané 2026-06-17 z https://scholargate.app/sk/compare