Path integral approach to Asian options in the Black-Scholes model

@article{Devreese2010PathIA,
  title={Path integral approach to Asian options in the Black-Scholes model},
  author={Jeroen P. A. Devreese and Damiaan Lemmens and Jacques Tempere},
  journal={Physica A-statistical Mechanics and Its Applications},
  year={2010},
  volume={389},
  pages={780-788}
}
We derive a closed-form solution for the price of an average strike as well as an average price geometric Asian option, by making use of the path integral formulation. Our results are compared to a numerical Monte Carlo simulation. We also develop a pricing formula for an Asian option with a barrier on a control process, combining the method of images with a partitioning of the set of paths according to the average along the path. This formula is exact when the correlation is zero, and is… Expand

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