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Risikonøytral verdsettelse×Libor Market Model×
FagfeltKvantitativ finansKvantitativ finans
FamilieRegression modelRegression model
Opprinnelsesår19791997
OpphavspersonJohn Harrison and David KrepsAlan Brace, Dariusz Gatarek, and Marek Musiela
TypeFundamental PrincipleInterest Rate Model
Opprinnelig kildeHarrison, J. M., & Kreps, D. M. (1979). Martingales and arbitrage in multiperiod securities markets. Journal of Economic Theory, 20(3), 381-408. DOI ↗Brace, A., Gatarek, D., & Musiela, M. (1997). The market model of interest rate dynamics. Mathematical Finance, 7(2), 127-155. DOI ↗
AliasRisk-Neutral Measure, Q-MeasureBGM Model, LMM
Relaterte44
SammendragRisk-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.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.
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ScholarGateSammenlign metoder: Risk-Neutral Valuation · Libor Market Model. Hentet 2026-06-19 fra https://scholargate.app/no/compare