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Grieken via Automatische Differentiatie×Risico-neutrale waardering×
VakgebiedKwantitatieve financieringKwantitatieve financiering
FamilieMachine learningRegression model
Jaar van ontstaan20081979
GrondleggerMike Giles, Iman HomescuJohn Harrison and David Kreps
TypeSensitivity AnalysisFundamental Principle
Oorspronkelijke bronGiles, 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 ↗
AliassenAD Greeks, Algorithmic Differentiation, AutodiffRisk-Neutral Measure, Q-Measure
Verwant34
SamenvattingAutomatic 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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ScholarGateMethoden vergelijken: Greeks via Automatic Differentiation · Risk-Neutral Valuation. Geraadpleegd op 2026-06-19 via https://scholargate.app/nl/compare