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| اليونانيات عبر التفاضل والتكامل التلقائي× | التقلب المحلي (Dupire)× | |
|---|---|---|
| المجال | التمويل الكمي | التمويل الكمي |
| العائلة≠ | Machine learning | Regression model |
| سنة النشأة≠ | 2008 | 1994 |
| صاحب الطريقة≠ | Mike Giles, Iman Homescu | Bruno Dupire |
| النوع≠ | Sensitivity Analysis | Equity/FX Model |
| المصدر التأسيسي≠ | Giles, M. B. (2008). Adjoint code by automatic differentiation. Journal of Computational Finance, 12(1), 1-18. link ↗ | Dupire, B. (1994). Pricing with a smile. Risk Magazine, 7(1), 18-20. link ↗ |
| الأسماء البديلة≠ | AD Greeks, Algorithmic Differentiation, Autodiff | Deterministic Volatility Function, DVF |
| ذات صلة≠ | 3 | 4 |
| الملخص≠ | Automatic 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. | Dupire's local volatility model (1994) is a deterministic framework that extracts a term and strike-dependent volatility function from market option prices. Unlike constant volatility, local volatility perfectly fits the observed implied volatility smile and is implemented via finite difference methods for European and American option pricing. |
| ScholarGateمجموعة البيانات ↗ |
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