A Dynamic Programming Procedure for Pricing American-Style Asian Options
Management Science
A Semi-Lagrangian Approach for American Asian Options under Jump Diffusion
SIAM Journal on Scientific Computing
Applied Numerical Mathematics - Selected papers from the first Chilean workshop on numerical analysis of partial differential equations (WONAPDE 2004)
Is Gauss Quadrature Better than Clenshaw-Curtis?
SIAM Review
A Novel Pricing Method for European Options Based on Fourier-Cosine Series Expansions
SIAM Journal on Scientific Computing
Pricing early-exercise and discrete barrier options by fourier-cosine series expansions
Numerische Mathematik
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In this article, we propose a pricing method for Asian options with early-exercise features. It is based on a two-dimensional integration and a backward recursion of the Fourier coefficients, in which several numerical techniques, like Fourier cosine expansions, Clenshaw-Curtis quadrature and the Fast Fourier Transform (FFT) are employed. Rapid convergence of the pricing method is illustrated by an error analysis. Its performance is further demonstrated by various numerical examples, where we also show the power of an implementation on Graphics Processing Units (GPUs).