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Penentuan Harga Crank-Nicolson×Volatilitas Lokal (Dupire)×
BidangKeuangan KuantitatifKeuangan Kuantitatif
KeluargaMachine learningRegression model
Tahun asal19471994
PencetusJohn Crank and Phyllis NicolsonBruno Dupire
TipePDE SolverEquity/FX Model
Sumber perintisCrank, 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 ↗
AliasCN Method, Implicit Finite DifferenceDeterministic Volatility Function, DVF
Terkait34
RingkasanThe 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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ScholarGateBandingkan metode: Crank-Nicolson Pricing · Local Volatility (Dupire). Diakses 2026-06-18 dari https://scholargate.app/id/compare