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HJM 프레임워크×기준자산 변경×
분야금융공학금융공학
계열Regression modelRegression model
기원 연도19921995
창시자David Heath, Robert Jarrow, and Andrew MortonHélyette Geman, Nicole El Karoui, Jean-Charles Rochet
유형Interest Rate FrameworkMeasure Theory
원전Heath, 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 ↗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 ↗
별칭Forward Rate Model, No-Arbitrage Drift ConditionNumeraire Switching, Measure Change
관련43
요약The 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.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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