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Riski-neutraalne hindamine×SABR-mudel×
ValdkondKvantitatiivne rahandusKvantitatiivne rahandus
PerekondRegression modelRegression model
Tekkeaasta19792002
LoojaJohn Harrison and David KrepsPatrick S. Hagan
TüüpFundamental PrincipleInterest Rate Model
AlgallikasHarrison, J. M., & Kreps, D. M. (1979). Martingales and arbitrage in multiperiod securities markets. Journal of Economic Theory, 20(3), 381-408. DOI ↗Hagan, P. S., Kumar, D., Lesniewski, A. S., & Woodward, D. E. (2002). Managing smile risk. Wilmott Magazine, 1, 84-108. link ↗
RööpnimetusedRisk-Neutral Measure, Q-MeasureStochastic Volatility Model
Seotud44
KokkuvõteRisk-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.The 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.
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ScholarGateVõrdle meetodeid: Risk-Neutral Valuation · SABR Model. Loetud 2026-06-18 aadressilt https://scholargate.app/et/compare