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क्षेत्रमात्रात्मक वित्तमात्रात्मक वित्त
परिवारMachine learningRegression model
उद्भव वर्ष19471990
प्रवर्तकJohn Crank and Phyllis NicolsonJohn C. Hull and Alan White
प्रकारPDE SolverInterest Rate Model
मौलिक स्रोतCrank, 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 ↗Hull, J., & White, A. (1990). Pricing interest-rate-derivative securities. Review of Financial Studies, 3(4), 573-592. DOI ↗
उपनामCN Method, Implicit Finite DifferenceExtended Vasicek, Generalized Vasicek
संबंधित34
सारांशThe 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.The Hull-White model (1990) is a one-factor short-rate model with time-dependent mean reversion and volatility, designed to fit the initial yield curve exactly. It generalizes the Vasicek model to allow better calibration to observed bond and derivative prices, and is widely used for pricing interest rate exotics and managing interest rate risk.
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