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Volatilidad Local (Dupire)×Valoración con Crank-Nicolson×
CampoFinanzas cuantitativasFinanzas cuantitativas
FamiliaRegression modelMachine learning
Año de origen19941947
Autor originalBruno DupireJohn Crank and Phyllis Nicolson
TipoEquity/FX ModelPDE Solver
Fuente seminalDupire, B. (1994). Pricing with a smile. Risk Magazine, 7(1), 18-20. link ↗Crank, 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 ↗
AliasDeterministic Volatility Function, DVFCN Method, Implicit Finite Difference
Relacionados43
ResumenDupire'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.The 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.
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ScholarGateComparar métodos: Local Volatility (Dupire) · Crank-Nicolson Pricing. Recuperado el 2026-06-18 de https://scholargate.app/es/compare