We revisit the "epsilon-intelligence" model of Toth et al.(2011), that was proposed as a minimal framework to understand the square-root dependence of the impact of meta-orders on volume in financial markets. The basic idea is that most of the daily liquidity is "latent" and furthermore vanishes...

We generalize the reaction-diffusion model A + B - 0 in order to study the impact of an excess of A (or B) at the reaction front. We provide an exact solution of the model, which shows that linear response breaks down: the average displacement of the reaction front grows as the square-root of...

We propose a minimal theory of non-linear price impact based on a linear (latent) order book approximation, inspired by diffusion-reaction models and general arguments. Our framework allows one to compute the average price trajectory in the presence of a meta-order, that consistently generalizes...

The vast majority of recent studies in market impact assess each product individually, and the interactions between their order flows are disregarded. This strong approximation may lead to an underestimation of trading costs and possible contagion effects. Transactions mediate a significant part...

We reconsider the multivariate Kyle model in a risk-neutral setting with a single, perfectly informed rational insider and a rational competitive market maker, setting the price of n correlated securities. We prove the unicity of a symmetric, positive definite solution for the impact matrix and...

This paper is devoted to the important yet unexplored subject of crowding effects on market impact, that we call co-impact. Our analysis is based on a large database of metaorders by institutional investors in the U.S. equity market. We find that the market chiefly reacts to the net order flow...

Crowding is most likely an important factor in the deterioration of strategy performance, the increase of trading costs and the development of systemic risk. We study the imprints of crowding on both anonymous market data and a large database of metaorders from institutional investors in the...

The notion of market impact is subtle and sometimes misinterpreted. Here we argue thatimpact should not be misconstrued as volatility. In particular, the so-called “square-root impactlaw”, which states that impact grows as the square-root of traded volume, has nothing todo with price...