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A fast Fourier transform method for Mellin-type option pricing

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  • D. J. Manuge
  • P. T. Kim

Abstract

Analytical pricing formulas and Greeks are obtained for European and American basket put options using Mellin transforms. We assume assets are driven by geometric Brownian motion which exhibit correlation and pay a continuous dividend rate. A novel approach to numerical Mellin inversion is achieved via the fast Fourier transform, enabling the computation of option values at equidistant log asset prices. Numerical accuracy is verified among existing methods for American call options.

Suggested Citation

  • D. J. Manuge & P. T. Kim, 2014. "A fast Fourier transform method for Mellin-type option pricing," Papers 1403.3756, arXiv.org, revised Mar 2014.
    • Handle: RePEc:arx:papers:1403.3756
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    References listed on IDEAS

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