Path Integral and Asian Options

Economy – Quantitative Finance – Pricing of Securities

Scientific paper

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12 pages, 1 figure

Scientific paper

In this paper we analytically study the pricing of the arithmetically averaged Asian option in the path integral formalism. By a trick about the Dirac delta function, the measure of the path integral is defined by an effective action whose potential term is an exponential function, i.e. the Liouville Hamiltonian, which can be explicitly solved. After working out some auxiliary integrations involving Bessel and Whittaker functions, we arrive at the spectral expansion expression of the value of an Asian option.

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