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Grci pomoću automatske diferencijacije×Bejts model×Vrednovanje neutralno na rizik×
OblastKvantitativne finansijeKvantitativne finansijeKvantitativne finansije
PorodicaMachine learningRegression modelRegression model
Godina nastanka200819961979
TvoracMike Giles, Iman HomescuDavid S. BatesJohn Harrison and David Kreps
TipSensitivity AnalysisEquity/FX ModelFundamental Principle
Temeljni izvorGiles, M. B. (2008). Adjoint code by automatic differentiation. Journal of Computational Finance, 12(1), 1-18. link ↗Bates, D. S. (1996). Jumps and stochastic volatility: Exchange rate processes implicit in Deutsche Mark options. Review of Financial Studies, 9(1), 69-107. DOI ↗Harrison, J. M., & Kreps, D. M. (1979). Martingales and arbitrage in multiperiod securities markets. Journal of Economic Theory, 20(3), 381-408. DOI ↗
Drugi naziviAD Greeks, Algorithmic Differentiation, AutodiffSVJ Model, Jump DiffusionRisk-Neutral Measure, Q-Measure
Srodne344
SažetakAutomatic 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.The Bates model (1996) combines stochastic volatility and jump diffusion to capture both the volatility smile and the implied volatility skew observed in equity and currency option markets. It extends the Heston model by adding a Poisson jump component to returns, making it suitable for pricing options when sudden price moves are expected.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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ScholarGateUporedite metode: Greeks via Automatic Differentiation · Bates Model · Risk-Neutral Valuation. Preuzeto 2026-06-19 sa https://scholargate.app/sr/compare