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Crank-Nicolson 가격 결정×헐-화이트 모형×
분야금융공학금융공학
계열Machine learningRegression model
기원 연도19471990
창시자John Crank and Phyllis NicolsonJohn C. Hull and Alan White
유형PDE SolverInterest Rate Model
원전Crank, 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 ↗
별칭CN Method, Implicit Finite DifferenceExtended Vasicek, Generalized Vasicek
관련34
요약The 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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