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Libor Market Model×HJM-rammeverket×
FagfeltKvantitativ finansKvantitativ finans
FamilieRegression modelRegression model
Opprinnelsesår19971992
OpphavspersonAlan Brace, Dariusz Gatarek, and Marek MusielaDavid Heath, Robert Jarrow, and Andrew Morton
TypeInterest Rate ModelInterest Rate Framework
Opprinnelig kildeBrace, 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 ↗
AliasBGM Model, LMMForward Rate Model, No-Arbitrage Drift Condition
Relaterte44
SammendragThe 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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ScholarGateSammenlign metoder: Libor Market Model · HJM Framework. Hentet 2026-06-17 fra https://scholargate.app/no/compare