Compara mètodes

	Model del Mercat LIBOR	Marc HJM
Camp	Finances quantitatives	Finances quantitatives
Família	Regression model	Regression model
Any d'origen	1997	1992
Autor original	Alan Brace, Dariusz Gatarek, and Marek Musiela	David Heath, Robert Jarrow, and Andrew Morton
Tipus	Interest Rate Model	Interest Rate Framework
Font seminal	Brace, A., Gatarek, D., & Musiela, M. (1997). The market model of interest rate dynamics. Mathematical Finance, 7(2), 127-155.	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.
Àlies	BGM Model, LMM	Forward Rate Model, No-Arbitrage Drift Condition
Relacionats	4	4
Resum	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.	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.