Compara mètodes

	Mètode de Crank-Nicolson per a la valoració	Model SABR
Camp	Finances quantitatives	Finances quantitatives
Família	Machine learning	Regression model
Any d'origen	1947	2002
Autor original	John Crank and Phyllis Nicolson	Patrick S. Hagan
Tipus	PDE Solver	Interest Rate Model
Font seminal	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.	Hagan, P. S., Kumar, D., Lesniewski, A. S., & Woodward, D. E. (2002). Managing smile risk. Wilmott Magazine, 1, 84-108.
Àlies	CN Method, Implicit Finite Difference	Stochastic Volatility Model
Relacionats	3	4
Resum	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.	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.