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SABR-model×Risico-neutrale waardering×
VakgebiedKwantitatieve financieringKwantitatieve financiering
FamilieRegression modelRegression model
Jaar van ontstaan20021979
GrondleggerPatrick S. HaganJohn Harrison and David Kreps
TypeInterest Rate ModelFundamental Principle
Oorspronkelijke bronHagan, P. S., Kumar, D., Lesniewski, A. S., & Woodward, D. E. (2002). Managing smile risk. Wilmott Magazine, 1, 84-108. link ↗Harrison, J. M., & Kreps, D. M. (1979). Martingales and arbitrage in multiperiod securities markets. Journal of Economic Theory, 20(3), 381-408. DOI ↗
AliassenStochastic Volatility ModelRisk-Neutral Measure, Q-Measure
Verwant44
SamenvattingThe SABR (Stochastic Alpha-Beta-Rho) model is a stochastic volatility framework introduced by Hagan et al. in 2002 for valuing interest rate derivatives. It captures the smile effect in implied volatility through correlated Brownian motions and has become industry standard for swaption and caplet pricing.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 vergelijken: SABR Model · Risk-Neutral Valuation. Geraadpleegd op 2026-06-19 via https://scholargate.app/nl/compare