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Grekere via automatisk differensiering×Risikonøytral verdsettelse×
FagfeltKvantitativ finansKvantitativ finans
FamilieMachine learningRegression model
Opprinnelsesår20081979
OpphavspersonMike Giles, Iman HomescuJohn Harrison and David Kreps
TypeSensitivity AnalysisFundamental Principle
Opprinnelig kildeGiles, 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 ↗
AliasAD Greeks, Algorithmic Differentiation, AutodiffRisk-Neutral Measure, Q-Measure
Relaterte34
SammendragAutomatic 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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ScholarGateSammenlign metoder: Greeks via Automatic Differentiation · Risk-Neutral Valuation. Hentet 2026-06-19 fra https://scholargate.app/no/compare