This paper combines dimensional analysis, leverage neutrality, and a principle of market microstructure invariance to derive scaling laws expressing transaction costs functions, bid-ask spreads, bet sizes, number of bets, and other financial variables in terms of dollar trading volume and...

We derive invariance relationships for a dynamic infinite-horizon model of market microstructure with risk-neutral informed trading,noise trading,marketmaking, and endogenous production of information. Invariance relationships for bet sizes and transaction costs are obtained under the assumption...

A quasi-centralized limit order book (QCLOB) is a limit order book (LOB) in which financial institutions can only access the trading opportunities offered by counterparties with whom they possess sufficient bilateral credit. We perform an empirical analysis of a recent, high-quality data set...

In financial markets, the order flow, defined as the process assuming value one for buy market orders and minus one for sell market orders, displays a very slowly decaying autocorrelation function. Since orders impact prices, reconciling the persistence of the order flow with market efficiency...

We derive invariance relationships in a dynamic, infinite-horizon, equilibrium model of adverse selection with risk-neutral informed traders, noise traders, market makers, and with endogenous information production. The model solution depends on two state variables: stock price and...

Financial exchanges provide incentives for limit order book (LOB) liquidity provision to certain market participants, termed designated market makers or designated sponsors. While quoting requirements typically enforce the activity of these participants for a certain portion of the day, we argue...

We model an electronic limit order book as a multi-class queueing system under fluid dynamics, and formulate and solve a problem of limit and market order placement to optimally buy a block of shares over a short, predetermined time horizon. Using the structure of the optimal execution policy,...

We distinguish exogenous liquidity, which corresponds to the variability of bid-ask spreads for usual-sized transactions, from endogenous liquidity, which we interpret as the impact of liquidity on market prices when liquidating larger positions. Endogenous liquidity measures the risk that the...

Motivated by optimal trade execution, this paper studies the temporal evolution of the shape of a limit order book over a time horizon that is large compared with the length of time between order book events, with the aim of approximating the transient distribution of the shape. Relying on the...