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Longstaff-Schwartz 方法×Bates模型×
领域量化金融量化金融
方法族Machine learningRegression model
起源年份20011996
提出者Francis A. Longstaff and Eduardo S. SchwartzDavid S. Bates
类型Valuation AlgorithmEquity/FX 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 ↗Bates, D. S. (1996). Jumps and stochastic volatility: Exchange rate processes implicit in Deutsche Mark options. Review of Financial Studies, 9(1), 69-107. DOI ↗
别名LSM, Least-Squares MC, Optimal StoppingSVJ Model, Jump Diffusion
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 Bates model (1996) combines stochastic volatility and jump diffusion to capture both the volatility smile and the implied volatility skew observed in equity and currency option markets. It extends the Heston model by adding a Poisson jump component to returns, making it suitable for pricing options when sudden price moves are expected.
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ScholarGate方法对比: Longstaff-Schwartz Method · Bates Model. 于 2026-06-17 检索自 https://scholargate.app/zh/compare