Porovnat metody
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| Model SABR× | Lokální volatilita (Dupire)× | |
|---|---|---|
| Obor | Kvantitativní finance | Kvantitativní finance |
| Rodina | Regression model | Regression model |
| Rok vzniku≠ | 2002 | 1994 |
| Tvůrce≠ | Patrick S. Hagan | Bruno Dupire |
| Typ≠ | Interest Rate Model | Equity/FX Model |
| Původní zdroj≠ | Hagan, P. S., Kumar, D., Lesniewski, A. S., & Woodward, D. E. (2002). Managing smile risk. Wilmott Magazine, 1, 84-108. link ↗ | Dupire, B. (1994). Pricing with a smile. Risk Magazine, 7(1), 18-20. link ↗ |
| Další názvy≠ | Stochastic Volatility Model | Deterministic Volatility Function, DVF |
| Příbuzné | 4 | 4 |
| Shrnutí≠ | 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. | Dupire's local volatility model (1994) is a deterministic framework that extracts a term and strike-dependent volatility function from market option prices. Unlike constant volatility, local volatility perfectly fits the observed implied volatility smile and is implemented via finite difference methods for European and American option pricing. |
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