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Longstaff-Schwartz-metoden×Lokal volatilitet (Dupire)×
FagområdeKvantitativ finansKvantitativ finans
FamilieMachine learningRegression model
Oprindelsesår20011994
OphavspersonFrancis A. Longstaff and Eduardo S. SchwartzBruno Dupire
TypeValuation AlgorithmEquity/FX Model
Oprindelig kildeLongstaff, 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 ↗Dupire, B. (1994). Pricing with a smile. Risk Magazine, 7(1), 18-20. link ↗
AliasserLSM, Least-Squares MC, Optimal StoppingDeterministic Volatility Function, DVF
Relaterede44
ResuméThe 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.Dupire's local volatility model (1994) is a deterministic framework that extracts a term and strike-dependent volatility function from market option prices. Unlike constant volatility, local volatility perfectly fits the observed implied volatility smile and is implemented via finite difference methods for European and American option pricing.
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