Path integral approach to Asian options in the Black-Scholes model
arXiv:0906.4456 · doi:10.1016/j.physa.2009.10.020
Abstract
We derive a closed-form solution for the price of an average price as well as an average strike 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 approximate when the correlation increases.
13 pages, 3 figures, updated version has added references to path integral literature
References in corpus (6)
- The escape problem under stochastic volatility: the Heston model
- A Path Integral Way to Option Pricing
- Fluctuations and Market Friction in Financial Trading
- Option Pricing from Path Integral for Non-Gaussian Fluctuations. Natural Martingale and Application to Truncated Lévy Distributions
- A path integral approach to closed-form option pricing formulas with applications to stochastic volatility and interest rate models
- Market Model with Heterogeneous Buyers