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Monte Carlo Simulation of the CGMY Process and Option Pricing

Monte Carlo Simulation of the CGMY Process and Option Pricing

Abstract We present a joint Monte Carloā€Fourier transform sampling scheme for pricing derivative products under a Carrā€“Gemanā€“Madanā€“Yor (CGMY) model (Carr et al. [Journal of Business, 75, 305ā€“332, 2002]) exhibiting jumps of infinite activity and finite or infinite variation. The approach relies on numerical transform inversion with computable error estimates, which ā€¦