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Crank-Nicolsoni hinnastamine×SABR-mudel×
ValdkondKvantitatiivne rahandusKvantitatiivne rahandus
PerekondMachine learningRegression model
Tekkeaasta19472002
LoojaJohn Crank and Phyllis NicolsonPatrick S. Hagan
TüüpPDE SolverInterest Rate Model
AlgallikasCrank, 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 ↗Hagan, P. S., Kumar, D., Lesniewski, A. S., & Woodward, D. E. (2002). Managing smile risk. Wilmott Magazine, 1, 84-108. link ↗
RööpnimetusedCN Method, Implicit Finite DifferenceStochastic Volatility Model
Seotud34
KokkuvõteThe 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 SABR (Stochastic Alpha-Beta-Rho) model is a stochastic volatility framework introduced by Hagan et al. in 2002 for valuing interest rate derivatives. It captures the smile effect in implied volatility through correlated Brownian motions and has become industry standard for swaption and caplet pricing.
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ScholarGateVõrdle meetodeid: Crank-Nicolson Pricing · SABR Model. Loetud 2026-06-18 aadressilt https://scholargate.app/et/compare