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SABR-malli×Riskineutraali arvostus×
TieteenalaKvantitatiivinen rahoitusKvantitatiivinen rahoitus
MenetelmäperheRegression modelRegression model
Syntyvuosi20021979
KehittäjäPatrick S. HaganJohn Harrison and David Kreps
TyyppiInterest Rate ModelFundamental Principle
AlkuperäislähdeHagan, 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 ↗
RinnakkaisnimetStochastic Volatility ModelRisk-Neutral Measure, Q-Measure
Liittyvät44
TiivistelmäThe 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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ScholarGateVertaile menetelmiä: SABR Model · Risk-Neutral Valuation. Haettu 2026-06-19 osoitteesta https://scholargate.app/fi/compare