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| Wycena Crank-Nicolson× | Model Hull-White'a× | |
|---|---|---|
| Dziedzina | Finanse ilościowe | Finanse ilościowe |
| Rodzina≠ | Machine learning | Regression model |
| Rok powstania≠ | 1947 | 1990 |
| Twórca≠ | John Crank and Phyllis Nicolson | John C. Hull and Alan White |
| Typ≠ | PDE Solver | Interest Rate Model |
| Źródło pierwotne≠ | 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 ↗ | Hull, J., & White, A. (1990). Pricing interest-rate-derivative securities. Review of Financial Studies, 3(4), 573-592. DOI ↗ |
| Inne nazwy | CN Method, Implicit Finite Difference | Extended Vasicek, Generalized Vasicek |
| Pokrewne≠ | 3 | 4 |
| Podsumowanie≠ | 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 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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