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자동 미분(AD)을 이용한 그리스 계산×Bates 모형×
분야금융공학금융공학
계열Machine learningRegression model
기원 연도20081996
창시자Mike Giles, Iman HomescuDavid S. Bates
유형Sensitivity AnalysisEquity/FX Model
원전Giles, 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 ↗
별칭AD Greeks, Algorithmic Differentiation, AutodiffSVJ Model, Jump Diffusion
관련34
요약Automatic 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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