Porovnat metody
Prohlédněte si vybrané metody vedle sebe; řádky, které se liší, jsou zvýrazněny.
| Model trhu Libor (LMM)× | Rámec HJM× | |
|---|---|---|
| Obor | Kvantitativní finance | Kvantitativní finance |
| Rodina | Regression model | Regression model |
| Rok vzniku≠ | 1997 | 1992 |
| Tvůrce≠ | Alan Brace, Dariusz Gatarek, and Marek Musiela | David Heath, Robert Jarrow, and Andrew Morton |
| Typ≠ | Interest Rate Model | Interest Rate Framework |
| Původní zdroj≠ | Brace, A., Gatarek, D., & Musiela, M. (1997). The market model of interest rate dynamics. Mathematical Finance, 7(2), 127-155. DOI ↗ | Heath, D., Jarrow, R. A., & Morton, A. (1992). Bond pricing and the term structure of interest rates: A new methodology for contingent claims valuation. Econometrica, 60(1), 77-105. DOI ↗ |
| Další názvy | BGM Model, LMM | Forward Rate Model, No-Arbitrage Drift Condition |
| Příbuzné | 4 | 4 |
| Shrnutí≠ | 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. | The Heath-Jarrow-Morton (HJM) framework (1992) is a general no-arbitrage approach to modeling the entire term structure of forward rates. Unlike short-rate models, HJM works directly with forward rates f(t,T) and specifies their volatility; the drift is then determined by arbitrage constraints. This flexibility enables multi-factor modeling and accurate calibration to swaption matrices. |
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