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Grekerna via automatisk differentiering×Bates-modellen×
ÄmnesområdeKvantitativ finansKvantitativ finans
FamiljMachine learningRegression model
Ursprungsår20081996
UpphovspersonMike Giles, Iman HomescuDavid S. Bates
TypSensitivity AnalysisEquity/FX Model
UrsprungskällaGiles, M. B. (2008). Adjoint code by automatic differentiation. Journal of Computational Finance, 12(1), 1-18. link ↗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 ↗
AliasAD Greeks, Algorithmic Differentiation, AutodiffSVJ Model, Jump Diffusion
Närliggande34
SammanfattningAutomatic differentiation (AD) is a computational technique for computing derivatives (Greeks) by differentiating the computer code that computes the option price. AD avoids manual derivation of formulas and finite-difference approximations, yielding exact sensitivities with machine precision. It has become essential for real-time risk management in modern trading systems.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.
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ScholarGateJämför metoder: Greeks via Automatic Differentiation · Bates Model. Hämtad 2026-06-18 från https://scholargate.app/sv/compare