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Griegas mediante diferenciación automática×Volatilidad Local (Dupire)×Valoración neutral al riesgo×
CampoFinanzas cuantitativasFinanzas cuantitativasFinanzas cuantitativas
FamiliaMachine learningRegression modelRegression model
Año de origen200819941979
Autor originalMike Giles, Iman HomescuBruno DupireJohn Harrison and David Kreps
TipoSensitivity AnalysisEquity/FX ModelFundamental Principle
Fuente seminalGiles, 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
Relacionados344
ResumenAutomatic 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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ScholarGateComparar métodos: Greeks via Automatic Differentiation · Local Volatility (Dupire) · Risk-Neutral Valuation. Recuperado el 2026-06-19 de https://scholargate.app/es/compare