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Pitia mbinu ulizochagua bega kwa bega; safu zinazotofautiana zinaangaziwa.
| Modeli ya Bates× | Mfumo wa SABR× | |
|---|---|---|
| Nyanja | Fedha za Kiidadi | Fedha za Kiidadi |
| Familia | Regression model | Regression model |
| Mwaka wa asili≠ | 1996 | 2002 |
| Mwanzilishi≠ | David S. Bates | Patrick S. Hagan |
| Aina≠ | Equity/FX Model | Interest Rate Model |
| Chanzo asilia≠ | Bates, D. S. (1996). Jumps and stochastic volatility: Exchange rate processes implicit in Deutsche Mark options. Review of Financial Studies, 9(1), 69-107. DOI ↗ | Hagan, P. S., Kumar, D., Lesniewski, A. S., & Woodward, D. E. (2002). Managing smile risk. Wilmott Magazine, 1, 84-108. link ↗ |
| Majina mbadala≠ | SVJ Model, Jump Diffusion | Stochastic Volatility Model |
| Zinazohusiana | 4 | 4 |
| Muhtasari≠ | The Bates model (1996) combines stochastic volatility and jump diffusion to capture both the volatility smile and the implied volatility skew observed in equity and currency option markets. It extends the Heston model by adding a Poisson jump component to returns, making it suitable for pricing options when sudden price moves are expected. | 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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