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Modelis SABR×Novērtēšana pret risku neitrālā pasaulē×
NozareKvantitatīvās finansesKvantitatīvās finanses
SaimeRegression modelRegression model
Izcelsmes gads20021979
AutorsPatrick S. HaganJohn Harrison and David Kreps
TipsInterest Rate ModelFundamental Principle
PirmavotsHagan, 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 ↗
Citi nosaukumiStochastic Volatility ModelRisk-Neutral Measure, Q-Measure
Saistītās44
KopsavilkumsThe 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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ScholarGateSalīdzināt metodes: SABR Model · Risk-Neutral Valuation. Izgūts 2026-06-19 no https://scholargate.app/lv/compare