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Longstaff-Schwartzin menetelmä×SABR-malli×
TieteenalaKvantitatiivinen rahoitusKvantitatiivinen rahoitus
MenetelmäperheMachine learningRegression model
Syntyvuosi20012002
KehittäjäFrancis A. Longstaff and Eduardo S. SchwartzPatrick S. Hagan
TyyppiValuation AlgorithmInterest Rate Model
AlkuperäislähdeLongstaff, F. A., & Schwartz, E. S. (2001). Valuing American options by simulation: A simple least-squares approach. Review of Financial Studies, 14(1), 113-147. DOI ↗Hagan, P. S., Kumar, D., Lesniewski, A. S., & Woodward, D. E. (2002). Managing smile risk. Wilmott Magazine, 1, 84-108. link ↗
RinnakkaisnimetLSM, Least-Squares MC, Optimal StoppingStochastic Volatility Model
Liittyvät44
TiivistelmäThe Longstaff-Schwartz method (2001) is a Monte Carlo algorithm for pricing American options and Bermudan swaptions by approximating the optimal exercise boundary via least-squares regression. It has become the industry standard for pricing path-dependent derivatives where analytical solutions do not exist.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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ScholarGateVertaile menetelmiä: Longstaff-Schwartz Method · SABR Model. Haettu 2026-06-18 osoitteesta https://scholargate.app/fi/compare