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Kreeklased automaatse diferentseerimise abil×Local Volatility (Dupire)×
ValdkondKvantitatiivne rahandusKvantitatiivne rahandus
PerekondMachine learningRegression model
Tekkeaasta20081994
LoojaMike Giles, Iman HomescuBruno Dupire
TüüpSensitivity AnalysisEquity/FX Model
AlgallikasGiles, M. B. (2008). Adjoint code by automatic differentiation. Journal of Computational Finance, 12(1), 1-18. link ↗Dupire, B. (1994). Pricing with a smile. Risk Magazine, 7(1), 18-20. link ↗
RööpnimetusedAD Greeks, Algorithmic Differentiation, AutodiffDeterministic Volatility Function, DVF
Seotud34
KokkuvõteAutomatic 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.Dupire's local volatility model (1994) is a deterministic framework that extracts a term and strike-dependent volatility function from market option prices. Unlike constant volatility, local volatility perfectly fits the observed implied volatility smile and is implemented via finite difference methods for European and American option pricing.
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ScholarGateVõrdle meetodeid: Greeks via Automatic Differentiation · Local Volatility (Dupire). Loetud 2026-06-18 aadressilt https://scholargate.app/et/compare