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Řekové pomocí automatické diferenciace×Rizikově neutrální oceňování×
OborKvantitativní financeKvantitativní finance
RodinaMachine learningRegression model
Rok vzniku20081979
TvůrceMike Giles, Iman HomescuJohn Harrison and David Kreps
TypSensitivity AnalysisFundamental Principle
Původní zdrojGiles, 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 ↗
Další názvyAD Greeks, Algorithmic Differentiation, AutodiffRisk-Neutral Measure, Q-Measure
Příbuzné34
ShrnutíAutomatic 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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ScholarGatePorovnat metody: Greeks via Automatic Differentiation · Risk-Neutral Valuation. Získáno 2026-06-19 z https://scholargate.app/cs/compare