विधियों की तुलना करें

	स्थानीय अस्थिरता (Dupire)	क्रैंक-निकोलसन मूल्य निर्धारण
क्षेत्र	मात्रात्मक वित्त	मात्रात्मक वित्त
परिवार	Regression model	Machine learning
उद्भव वर्ष	1994	1947
प्रवर्तक	Bruno Dupire	John Crank and Phyllis Nicolson
प्रकार	Equity/FX Model	PDE Solver
मौलिक स्रोत	Dupire, B. (1994). Pricing with a smile. Risk Magazine, 7(1), 18-20.	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.
उपनाम	Deterministic Volatility Function, DVF	CN Method, Implicit Finite Difference
संबंधित	4	3
सारांश	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.	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.