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Yunani melalui Pembezaan Automatik×Penilaian Bebas Risiko×
BidangKewangan KuantitatifKewangan Kuantitatif
KeluargaMachine learningRegression model
Tahun asal20081979
PengasasMike Giles, Iman HomescuJohn Harrison and David Kreps
JenisSensitivity AnalysisFundamental Principle
Sumber perintisGiles, 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
Berkaitan34
RingkasanAutomatic 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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ScholarGateBandingkan kaedah: Greeks via Automatic Differentiation · Risk-Neutral Valuation. Dicapai 2026-06-19 daripada https://scholargate.app/ms/compare