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Penghargaan Crank-Nicolson×Model Hull-White×
BidangKewangan KuantitatifKewangan Kuantitatif
KeluargaMachine learningRegression model
Tahun asal19471990
PengasasJohn Crank and Phyllis NicolsonJohn C. Hull and Alan White
JenisPDE SolverInterest Rate 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 ↗Hull, J., & White, A. (1990). Pricing interest-rate-derivative securities. Review of Financial Studies, 3(4), 573-592. DOI ↗
AliasCN Method, Implicit Finite DifferenceExtended Vasicek, Generalized Vasicek
Berkaitan34
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.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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