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A Novel Pricing Method for European Options Based on Fourier-Cosine Series Expansions

A Novel Pricing Method for European Options Based on Fourier-Cosine Series Expansions

Here we develop an option pricing method for European options based on the Fourier-cosine series and call it the COS method. The key insight is in the close relation of the characteristic function with the series coefficients of the Fourier-cosine expansion of the density function. In most cases, the convergence …