Bandingkan kaedah

	Model Pasaran LIBOR	Penilaian Bebas Risiko
Bidang	Kewangan Kuantitatif	Kewangan Kuantitatif
Keluarga	Regression model	Regression model
Tahun asal	1997	1979
Pengasas	Alan Brace, Dariusz Gatarek, and Marek Musiela	John Harrison and David Kreps
Jenis	Interest Rate Model	Fundamental Principle
Sumber perintis	Brace, A., Gatarek, D., & Musiela, M. (1997). The market model of interest rate dynamics. Mathematical Finance, 7(2), 127-155.	Harrison, J. M., & Kreps, D. M. (1979). Martingales and arbitrage in multiperiod securities markets. Journal of Economic Theory, 20(3), 381-408.
Alias	BGM Model, LMM	Risk-Neutral Measure, Q-Measure
Berkaitan	4	4
Ringkasan	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.	Risk-neutral valuation (1979) is the fundamental principle that derivative prices equal the expected payoff discounted at the risk-free rate, computed under a risk-neutral probability measure (Q-measure). This principle, formalized by Harrison and Kreps, eliminates the need to estimate risk premia and is the foundation of modern derivatives pricing.