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Grieķi (Greeks) izmantojot automātisko diferenciāciju×Novērtēšana pret risku neitrālā pasaulē×
NozareKvantitatīvās finansesKvantitatīvās finanses
SaimeMachine learningRegression model
Izcelsmes gads20081979
AutorsMike Giles, Iman HomescuJohn Harrison and David Kreps
TipsSensitivity AnalysisFundamental Principle
PirmavotsGiles, 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 ↗
Citi nosaukumiAD Greeks, Algorithmic Differentiation, AutodiffRisk-Neutral Measure, Q-Measure
Saistītās34
KopsavilkumsAutomatic 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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ScholarGateSalīdzināt metodes: Greeks via Automatic Differentiation · Risk-Neutral Valuation. Izgūts 2026-06-19 no https://scholargate.app/lv/compare