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Greci tramite differenziazione automatica×Volatilità Locale (Dupire)×Valutazione neutrale al rischio×
CampoFinanza quantitativaFinanza quantitativaFinanza quantitativa
FamigliaMachine learningRegression modelRegression model
Anno di origine200819941979
IdeatoreMike Giles, Iman HomescuBruno DupireJohn Harrison and David Kreps
TipoSensitivity AnalysisEquity/FX ModelFundamental Principle
Fonte seminaleGiles, 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 ↗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, AutodiffDeterministic Volatility Function, DVFRisk-Neutral Measure, Q-Measure
Correlati344
SintesiAutomatic 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.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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ScholarGateConfronta i metodi: Greeks via Automatic Differentiation · Local Volatility (Dupire) · Risk-Neutral Valuation. Consultato il 2026-06-19 da https://scholargate.app/it/compare