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Longstaff-Schwartz Methode×Lokale volatiliteit (Dupire)×
VakgebiedKwantitatieve financieringKwantitatieve financiering
FamilieMachine learningRegression model
Jaar van ontstaan20011994
GrondleggerFrancis A. Longstaff and Eduardo S. SchwartzBruno Dupire
TypeValuation AlgorithmEquity/FX Model
Oorspronkelijke bronLongstaff, 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 ↗
AliassenLSM, Least-Squares MC, Optimal StoppingDeterministic Volatility Function, DVF
Verwant44
SamenvattingThe 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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ScholarGateMethoden vergelijken: Longstaff-Schwartz Method · Local Volatility (Dupire). Geraadpleegd op 2026-06-18 via https://scholargate.app/nl/compare