  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.
