A system of quadratic BSDEs arising in a price impact model

We consider a financial model where the prices of risky assets are quoted by a representative market maker who takes into account an exogenous demand. We characterize these prices in terms of a system of BSDEs with quadratic growth. We show that this system admits a unique solution for every bounded demand if and only if the market maker's risk-aversion is sufficiently small. The presentation is based on a joint paper with Sergio Pulido; see arXiv: 1408.0916.