Path Integral Method for Proportional Step and Proportional Double-Barrier Step Option Pricing
Pricing of Securities
2022-06-13 v3
Abstract
Path integral method in quantum mechanics provides a new thinking for barrier option pricing. For proportional step options, the option price changing process is similar to the one dimensional trapezoid potential barrier scattering problem in quantum mechanics; for double-barrier step options, the option price changing process is analogous to a particle moving in a finite symmetric square potential well. Using path integral method, the analytical expressions of pricing kernel and option price could be derived. Numerical results of option price as a function of underlying price, potential and exercise price are shown, which are consistent with the results given by mathematical method.
Keywords
Cite
@article{arxiv.2112.09534,
title = {Path Integral Method for Proportional Step and Proportional Double-Barrier Step Option Pricing},
author = {Qi Chen and Chao Guo},
journal= {arXiv preprint arXiv:2112.09534},
year = {2022}
}