Porovnat metody
Prohlédněte si vybrané metody vedle sebe; řádky, které se liší, jsou zvýrazněny.
| Batesův model× | Rizikově neutrální oceňování× | |
|---|---|---|
| Obor | Kvantitativní finance | Kvantitativní finance |
| Rodina | Regression model | Regression model |
| Rok vzniku≠ | 1996 | 1979 |
| Tvůrce≠ | David S. Bates | John Harrison and David Kreps |
| Typ≠ | Equity/FX Model | Fundamental Principle |
| Původní zdroj≠ | 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 ↗ | Harrison, J. M., & Kreps, D. M. (1979). Martingales and arbitrage in multiperiod securities markets. Journal of Economic Theory, 20(3), 381-408. DOI ↗ |
| Další názvy | SVJ Model, Jump Diffusion | Risk-Neutral Measure, Q-Measure |
| Příbuzné | 4 | 4 |
| Shrnutí≠ | 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. | Risk-neutral valuation (1979) is the fundamental principle that derivative prices equal the expected payoff discounted at the risk-free rate, computed under a risk-neutral probability measure (Q-measure). This principle, formalized by Harrison and Kreps, eliminates the need to estimate risk premia and is the foundation of modern derivatives pricing. |
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