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Έλληνες μέσω Αυτόματης Διαφόρισης×Μοντέλο Bates×Αποτίμηση υπό συνθήκες ουδετερότητας ως προς τον κίνδυνο×
ΠεδίοΠοσοτική ΧρηματοοικονομικήΠοσοτική ΧρηματοοικονομικήΠοσοτική Χρηματοοικονομική
ΟικογένειαMachine learningRegression modelRegression model
Έτος προέλευσης200819961979
ΔημιουργόςMike Giles, Iman HomescuDavid S. BatesJohn Harrison and David Kreps
ΤύποςSensitivity AnalysisEquity/FX ModelFundamental Principle
Θεμελιώδης πηγήGiles, 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 ↗
Εναλλακτικές ονομασίεςAD Greeks, Algorithmic Differentiation, AutodiffSVJ Model, Jump DiffusionRisk-Neutral Measure, Q-Measure
Συναφείς344
ΣύνοψηAutomatic 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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ScholarGateΣύγκριση μεθόδων: Greeks via Automatic Differentiation · Bates Model · Risk-Neutral Valuation. Ανακτήθηκε στις 2026-06-19 από https://scholargate.app/el/compare