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Modelul pieței LIBOR×Schimbarea numerarului×
DomeniuFinanțe cantitativeFinanțe cantitative
FamilieRegression modelRegression model
Anul apariției19971995
Autorul originalAlan Brace, Dariusz Gatarek, and Marek MusielaHélyette Geman, Nicole El Karoui, Jean-Charles Rochet
TipInterest Rate ModelMeasure Theory
Sursa seminalăBrace, A., Gatarek, D., & Musiela, M. (1997). The market model of interest rate dynamics. Mathematical Finance, 7(2), 127-155. DOI ↗Geman, H., El Karoui, N., & Rochet, J. C. (1995). Changes of numeraire, changes of probability measure and option pricing. Journal of Applied Probability, 32(2), 443-458. DOI ↗
Denumiri alternativeBGM Model, LMMNumeraire Switching, Measure Change
Înrudite43
RezumatThe 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.Change of numeraire is a mathematical technique for simplifying option pricing by changing the choice of discount factor (numeraire). By selecting a numeraire aligned with the payoff structure, complex problems become simple. The technique is essential for LIBOR market models and multi-currency derivatives.
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ScholarGateCompară metode: Libor Market Model · Change of Numeraire. Preluat la 2026-06-20 de pe https://scholargate.app/ro/compare