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Risikoneutral Værdiansættelse×Libor Market Model×
FagområdeKvantitativ finansKvantitativ finans
FamilieRegression modelRegression model
Oprindelsesår19791997
OphavspersonJohn Harrison and David KrepsAlan Brace, Dariusz Gatarek, and Marek Musiela
TypeFundamental PrincipleInterest Rate Model
Oprindelig 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 ↗
AliasserRisk-Neutral Measure, Q-MeasureBGM Model, LMM
Relaterede44
ResuméRisk-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/da/compare