Hedging of covered options with linear market impact and gamma constraint
Probability
2015-12-23 v1 Computational Finance
Abstract
Within a financial model with linear price impact, we study the problem of hedging a covered European option under gamma constraint. Using stochastic target and partial differential equation smoothing techniques, we prove that the super-replication price is the viscosity solution of a fully non-linear parabolic equation. As a by-product, we show how -optimal strategies can be constructed. Finally, a numerical resolution scheme is proposed.
Keywords
Cite
@article{arxiv.1512.07087,
title = {Hedging of covered options with linear market impact and gamma constraint},
author = {B Bouchard and G Loeper and Y Zou},
journal= {arXiv preprint arXiv:1512.07087},
year = {2015}
}