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Crank-Nicolson metodes cenu noteikšana×Vietējā volatilitāte (Dupire)×
NozareKvantitatīvās finansesKvantitatīvās finanses
SaimeMachine learningRegression model
Izcelsmes gads19471994
AutorsJohn Crank and Phyllis NicolsonBruno Dupire
TipsPDE SolverEquity/FX Model
PirmavotsCrank, 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 ↗
Citi nosaukumiCN Method, Implicit Finite DifferenceDeterministic Volatility Function, DVF
Saistītās34
KopsavilkumsThe 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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ScholarGateSalīdzināt metodes: Crank-Nicolson Pricing · Local Volatility (Dupire). Izgūts 2026-06-18 no https://scholargate.app/lv/compare