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HJM-Framework×Risikoneutrale Bewertung×
FachgebietQuantitative FinanzwirtschaftQuantitative Finanzwirtschaft
FamilieRegression modelRegression model
Entstehungsjahr19921979
UrheberDavid Heath, Robert Jarrow, and Andrew MortonJohn Harrison and David Kreps
TypInterest Rate FrameworkFundamental Principle
Wegweisende QuelleHeath, 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 ↗Harrison, J. M., & Kreps, D. M. (1979). Martingales and arbitrage in multiperiod securities markets. Journal of Economic Theory, 20(3), 381-408. DOI ↗
AliasnamenForward Rate Model, No-Arbitrage Drift ConditionRisk-Neutral Measure, Q-Measure
Verwandt44
ZusammenfassungThe 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.Risk-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.
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ScholarGateMethoden vergleichen: HJM Framework · Risk-Neutral Valuation. Abgerufen am 2026-06-18 von https://scholargate.app/de/compare