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Kreeklased automaatse diferentseerimise abil×Riski-neutraalne hindamine×
ValdkondKvantitatiivne rahandusKvantitatiivne rahandus
PerekondMachine learningRegression model
Tekkeaasta20081979
LoojaMike Giles, Iman HomescuJohn Harrison and David Kreps
TüüpSensitivity AnalysisFundamental Principle
AlgallikasGiles, 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 ↗
RööpnimetusedAD Greeks, Algorithmic Differentiation, AutodiffRisk-Neutral Measure, Q-Measure
Seotud34
KokkuvõteAutomatic 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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ScholarGateVõrdle meetodeid: Greeks via Automatic Differentiation · Risk-Neutral Valuation. Loetud 2026-06-19 aadressilt https://scholargate.app/et/compare