Equilibrium under TWAP trading with quadratic transaction costs
Mathematical Finance
2020-08-05 v2 Trading and Market Microstructure
Abstract
We study how transaction cost affects to the equilibrium return and optimal stock holdings in equilibrium. To this end, we develop a continuous-time risk-sharing model where heterogenous agents trade toward terminal target holdings subject to a quadratic transaction cost. The equilibrium stock holdings and trading rate under transaction cost are characterized by a unique solution to a forward-backward stochastic differential equation (FBSDE). The equilibrium return is also characterized as the unique solution of a system of coupled but linear FBSDEs.
Keywords
Cite
@article{arxiv.2008.00908,
title = {Equilibrium under TWAP trading with quadratic transaction costs},
author = {Eunjung Noh},
journal= {arXiv preprint arXiv:2008.00908},
year = {2020}
}
Comments
I find serious fundamental mistakes, so I would like to withdraw the paper. I will work again and upload later