Porovnat metody
Prohlédněte si vybrané metody vedle sebe; řádky, které se liší, jsou zvýrazněny.
| Oceňování metodou Crank-Nicolson× | Model SABR× | |
|---|---|---|
| Obor | Kvantitativní finance | Kvantitativní finance |
| Rodina≠ | Machine learning | Regression model |
| Rok vzniku≠ | 1947 | 2002 |
| Tvůrce≠ | John Crank and Phyllis Nicolson | Patrick S. Hagan |
| Typ≠ | PDE Solver | Interest Rate Model |
| Původní zdroj≠ | 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. DOI ↗ | Hagan, P. S., Kumar, D., Lesniewski, A. S., & Woodward, D. E. (2002). Managing smile risk. Wilmott Magazine, 1, 84-108. link ↗ |
| Další názvy≠ | CN Method, Implicit Finite Difference | Stochastic Volatility Model |
| Příbuzné≠ | 3 | 4 |
| Shrnutí≠ | 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. |
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