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Différentiation automatique des Grecs×Modèle de Bates×Volatilité locale (Dupire)×Valorisation neutre au risque×
DomaineFinance quantitativeFinance quantitativeFinance quantitativeFinance quantitative
FamilleMachine learningRegression modelRegression modelRegression model
Année d'origine2008199619941979
Auteur d'origineMike Giles, Iman HomescuDavid S. BatesBruno DupireJohn Harrison and David Kreps
TypeSensitivity AnalysisEquity/FX ModelEquity/FX ModelFundamental Principle
Source fondatriceGiles, 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 ↗Dupire, B. (1994). Pricing with a smile. Risk Magazine, 7(1), 18-20. link ↗Harrison, J. M., & Kreps, D. M. (1979). Martingales and arbitrage in multiperiod securities markets. Journal of Economic Theory, 20(3), 381-408. DOI ↗
AliasAD Greeks, Algorithmic Differentiation, AutodiffSVJ Model, Jump DiffusionDeterministic Volatility Function, DVFRisk-Neutral Measure, Q-Measure
Apparentées3444
RésuméAutomatic 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.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.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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ScholarGateComparer des méthodes: Greeks via Automatic Differentiation · Bates Model · Local Volatility (Dupire) · Risk-Neutral Valuation. Consulté le 2026-06-19 sur https://scholargate.app/fr/compare