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Grații prin Diferențiere Automată×Evaluarea neutră față de risc×
DomeniuFinanțe cantitativeFinanțe cantitative
FamilieMachine learningRegression model
Anul apariției20081979
Autorul originalMike Giles, Iman HomescuJohn Harrison and David Kreps
TipSensitivity AnalysisFundamental Principle
Sursa seminalăGiles, M. B. (2008). Adjoint code by automatic differentiation. Journal of Computational Finance, 12(1), 1-18. link ↗Harrison, J. M., & Kreps, D. M. (1979). Martingales and arbitrage in multiperiod securities markets. Journal of Economic Theory, 20(3), 381-408. DOI ↗
Denumiri alternativeAD Greeks, Algorithmic Differentiation, AutodiffRisk-Neutral Measure, Q-Measure
Înrudite34
RezumatAutomatic 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.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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ScholarGateCompară metode: Greeks via Automatic Differentiation · Risk-Neutral Valuation. Preluat la 2026-06-19 de pe https://scholargate.app/ro/compare