Trading with Small Price Impact
48 Pages Posted: 1 Mar 2014 Last revised: 11 Apr 2017
Date Written: March 30, 2015
An investor trades a safe and several risky assets with linear price impact to maximize expected utility from terminal wealth. In the limit for small impact costs, we explicitly determine the optimal policy and welfare, in a general Markovian setting allowing for stochastic market, cost, and preference parameters. These results shed light on the general structure of the problem at hand, and also unveil close connections to optimal execution problems and to other market frictions such as proportional and fixed transaction costs.
Keywords: price impact, portfolio choice, asymptotics, homogenization
JEL Classification: G11, C61
Suggested Citation: Suggested Citation