Using a large database of 8 million institutional trades executed in the U.S. equity market, we establish a clear crossover between a linear market impact regime and a square-root regime as a function of the volume of the order. Our empirical results are remarkably well explained by a recently...

We present an empirical study of price reversion after the executed metaorders. We use a data set with more than 8 million metaorders executed by institutional investors in the US equity market. We show that relaxation takes place as soon as the metaorder ends:while at the end of the same day it...

We revisit the trading invariance hypothesis recently proposed by Kyle and Obizhaeva [1] by empirically investigating a large dataset of bets, or metaorders, provided by ANcerno. The hypothesis predicts that the quantity I := R/N3/2 , where R is the exchanged risk (volatility × volume × price)...

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...

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...