We consider an exchange who wishes to set suitable make-take fees to attract liquidity on its platform. Using a principal-agent approach, we are able to describe in quasi-explicit form the optimal contract to propose to a market maker. This contract depends essentially on the market maker...

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...