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Bates Model×SABR-model×
VakgebiedKwantitatieve financieringKwantitatieve financiering
FamilieRegression modelRegression model
Jaar van ontstaan19962002
GrondleggerDavid S. BatesPatrick S. Hagan
TypeEquity/FX ModelInterest Rate Model
Oorspronkelijke bronBates, 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 ↗
AliassenSVJ Model, Jump DiffusionStochastic Volatility Model
Verwant44
SamenvattingThe 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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  1. v1
  2. 2 Bronnen
  3. PUBLISHED

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ScholarGateMethoden vergelijken: Bates Model · SABR Model. Geraadpleegd op 2026-06-17 via https://scholargate.app/nl/compare