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Vrednovanje bez rizika×Model tržišta LIBOR-a×
PodručjeKvantitativne financijeKvantitativne financije
ObiteljRegression modelRegression model
Godina nastanka19791997
TvoracJohn Harrison and David KrepsAlan Brace, Dariusz Gatarek, and Marek Musiela
VrstaFundamental PrincipleInterest Rate Model
Temeljni izvorHarrison, 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 ↗
Drugi naziviRisk-Neutral Measure, Q-MeasureBGM Model, LMM
Srodne44
SažetakRisk-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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ScholarGateUsporedite metode: Risk-Neutral Valuation · Libor Market Model. Preuzeto 2026-06-19 s https://scholargate.app/hr/compare