השוואת שיטות

	קר-מדן FFT	תנודתיות מקומית (Dupire)
תחום	מימון כמותי	מימון כמותי
משפחה	Machine learning	Regression model
שנת המקור	1999	1994
הוגה השיטה	Peter Carr and Dilip B. Madan	Bruno Dupire
סוג	Valuation Algorithm	Equity/FX Model
מקור מכונן	Carr, P., & Madan, D. B. (1999). Option valuation using the fast Fourier transform. Journal of Computational Finance, 2(4), 61-73.	Dupire, B. (1994). Pricing with a smile. Risk Magazine, 7(1), 18-20.
כינויים	FFT Pricing, Characteristic Function Method	Deterministic Volatility Function, DVF
קשורות	3	4
תקציר	The Carr-Madan Fast Fourier Transform (1999) is a highly efficient method for computing option prices across a range of strikes using characteristic functions and FFT. It enables rapid pricing of European options under any model with a known characteristic function (Heston, Merton jumps, Variance Gamma), with computational complexity that scales logarithmically in the number of strikes.	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.