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Longstaff-Schwartz 方法×SABR模型×
领域量化金融量化金融
方法族Machine learningRegression model
起源年份20012002
提出者Francis A. Longstaff and Eduardo S. SchwartzPatrick S. Hagan
类型Valuation AlgorithmInterest Rate Model
开创性文献Longstaff, 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 ↗
别名LSM, Least-Squares MC, Optimal StoppingStochastic Volatility Model
相关44
摘要The 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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ScholarGate方法对比: Longstaff-Schwartz Method · SABR Model. 于 2026-06-18 检索自 https://scholargate.app/zh/compare