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FFT Carr-Madan×Volatilitas Lokal (Dupire)×
BidangKeuangan KuantitatifKeuangan Kuantitatif
KeluargaMachine learningRegression model
Tahun asal19991994
PencetusPeter Carr and Dilip B. MadanBruno Dupire
TipeValuation AlgorithmEquity/FX Model
Sumber perintisCarr, P., & Madan, D. B. (1999). Option valuation using the fast Fourier transform. Journal of Computational Finance, 2(4), 61-73. DOI ↗Dupire, B. (1994). Pricing with a smile. Risk Magazine, 7(1), 18-20. link ↗
AliasFFT Pricing, Characteristic Function MethodDeterministic Volatility Function, DVF
Terkait34
RingkasanThe 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.
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ScholarGateBandingkan metode: Carr-Madan FFT · Local Volatility (Dupire). Diakses 2026-06-18 dari https://scholargate.app/id/compare