We study the relation between limit order flow, market order flow and returns. We develop a model where market-makers face inventory risk and adverse selection and show how prices depend on market and limit order flows. In the model, market-makers receive information through trade with customers...

We study the impact on market liquidity of the introduction of a penalty for high order-to-trade ratios (OTRs), implemented by the Italian stock exchange to curtail high-frequency quote submission. We find that the fee is associated with a collapse in the quoted depth of the stocks that make up...

We study the relation between limit order flow, market order flow and returns. We develop a model where market-makers face inventory risk and adverse selection and show how prices depend on market and limit order flows. In the model, market-makers receive information through trade with customers...