We consider the linear-impact case in the continuous-time market impact model with transient price impact proposed by Gatheral (2008). In this model, the absence of price manipulation in the sense of Huberman and Stanzl (2004) can easily be characterized by means of Bochner's theorem. This...

Starting from a no-dynamic-arbitrage principle that imposes that trading costs should be non-negative on average and a simple model for the evolution of market prices, we demonstrate a relationship between the shape of the market impact function describing the average response of the market...

There is a big controversy about the consequences of High-Frequency Traders (HFTs) activity on market quality. This empirical study uses a unique data set provided by the French regulator "Autorité des Marchés Financiers" and gives some evidence concerning the practices of these members under...

The new MiFID II regulation put in place in January 2018 has deeply modified the microstructure of European financial market. In particular, new tick size tables have been created, leading to tick size modifications for hundreds of assets. In this work, we investigate the relevance of this new...

We build an agent-based model for the order book with three types of market participants: informed trader, noise trader and competitive market makers. Using a Glosten-Milgrom like approach, we are able to deduce the whole limit order book (bid-ask spread and volume available at each price) from...