Сравнение методов
Просматривайте выбранные методы рядом; строки с различиями подсвечены.
| Метод Кранка-Николсон× | Модель SABR× | |
|---|---|---|
| Область | Количественные финансы | Количественные финансы |
| Семейство≠ | Machine learning | Regression model |
| Год появления≠ | 1947 | 2002 |
| Автор метода≠ | John Crank and Phyllis Nicolson | Patrick S. Hagan |
| Тип≠ | PDE Solver | Interest Rate Model |
| Основополагающий источник≠ | 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 ↗ |
| Другие названия≠ | CN Method, Implicit Finite Difference | Stochastic Volatility Model |
| Связанные≠ | 3 | 4 |
| Сводка≠ | 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. |
| ScholarGateНабор данных ↗ |
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