विधियों की तुलना करें

	लिबोर मार्केट मॉडल	जोखिम-उदासीन मूल्यांकन
क्षेत्र	मात्रात्मक वित्त	मात्रात्मक वित्त
परिवार	Regression model	Regression model
उद्भव वर्ष	1997	1979
प्रवर्तक	Alan Brace, Dariusz Gatarek, and Marek Musiela	John Harrison and David Kreps
प्रकार	Interest Rate Model	Fundamental Principle
मौलिक स्रोत	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.
उपनाम	BGM Model, LMM	Risk-Neutral Measure, Q-Measure
संबंधित	4	4
सारांश	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.