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Libor Market Model×Risikonøytral verdsettelse×
FagfeltKvantitativ finansKvantitativ finans
FamilieRegression modelRegression model
Opprinnelsesår19971979
OpphavspersonAlan Brace, Dariusz Gatarek, and Marek MusielaJohn Harrison and David Kreps
TypeInterest Rate ModelFundamental Principle
Opprinnelig kildeBrace, A., Gatarek, D., & Musiela, M. (1997). The market model of interest rate dynamics. Mathematical Finance, 7(2), 127-155. DOI ↗Harrison, J. M., & Kreps, D. M. (1979). Martingales and arbitrage in multiperiod securities markets. Journal of Economic Theory, 20(3), 381-408. DOI ↗
AliasBGM Model, LMMRisk-Neutral Measure, Q-Measure
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.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.
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ScholarGateSammenlign metoder: Libor Market Model · Risk-Neutral Valuation. Hentet 2026-06-19 fra https://scholargate.app/no/compare