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Novērtēšana pret risku neitrālā pasaulē×Modelis SABR×
NozareKvantitatīvās finansesKvantitatīvās finanses
SaimeRegression modelRegression model
Izcelsmes gads19792002
AutorsJohn Harrison and David KrepsPatrick S. Hagan
TipsFundamental PrincipleInterest Rate Model
PirmavotsHarrison, 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 ↗
Citi nosaukumiRisk-Neutral Measure, Q-MeasureStochastic Volatility Model
Saistītās44
KopsavilkumsRisk-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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ScholarGateSalīdzināt metodes: Risk-Neutral Valuation · SABR Model. Izgūts 2026-06-18 no https://scholargate.app/lv/compare