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Oceňování metodou Crank-Nicolson×Lokální volatilita (Dupire)×
OborKvantitativní financeKvantitativní finance
RodinaMachine learningRegression model
Rok vzniku19471994
TvůrceJohn Crank and Phyllis NicolsonBruno Dupire
TypPDE SolverEquity/FX Model
Původní zdrojCrank, J., & Nicolson, P. (1947). A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type. Mathematical Proceedings of the Cambridge Philosophical Society, 43(1), 50-67. DOI ↗Dupire, B. (1994). Pricing with a smile. Risk Magazine, 7(1), 18-20. link ↗
Další názvyCN Method, Implicit Finite DifferenceDeterministic Volatility Function, DVF
Příbuzné34
ShrnutíThe Crank-Nicolson method is a widely-used implicit finite difference scheme for solving PDEs in option pricing. It provides second-order accuracy in both space and time, unconditional stability, and can efficiently price derivatives with early exercise features (American options) or complex boundary conditions.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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ScholarGatePorovnat metody: Crank-Nicolson Pricing · Local Volatility (Dupire). Získáno 2026-06-18 z https://scholargate.app/cs/compare