Although previous research has documented a low intraday liquidity commonality across stocks, it has grown over the past decade. Using the introduction of hybrid market in the New York Stock Exchange, I show that at least a part of this growth can be attributed to an increase in algorithmic...

This study exploits a unique dataset to determine the relative contribution to price discovery of order flow originating from geographically dispersed ASX servers. It is found that the transactions of traders on the Sydney, Chicago and London servers have a significant impact on price...

We continue the analysis of optimal execution strategies in the model for a limit order book with nonlinear price impact and exponential resilience that was considered in Alfonsi, Schied, and Fruth (2009). We now allow for non-homogeneous resilience rates and arbitrary trading dates and consider...

We propose an actionable calibration procedure for general Quadratic Hawkes models of order book events (market orders, limit orders, cancellations). One of the main features of such models is to encode not only the influence of past events on future events but also, crucially, the influence of...

Modern Algorithmic Trading ("Algo") allows institutional investors and traders to liquidate or establish big security positions in a fully automated or low-touch manner. Most existing academic or industrial Algos focus on how to "slice" a big parent order into smaller child orders over a given...

This paper provides an up-to-date survey of the main theoretical developments in ACD modeling and empirical studies using financial data. First, we discuss the properties of the standard ACD specification and its extensions, existing diagnostic tests, and joint models for the arrival times of...

In this paper, we further study various new Hawkes processes, namely, so-called general compound and regime-switching general compound Hawkes processes to model the price processes in the limit order books. We prove Law of Large Numbers (LLN) and Functional Central Limit Theorems (FCLT) for...

In this paper we introduce two new Hawkes processes, namely, compound and regime-switching compound Hawkes processes, to model the price processes in limit order books. We prove Law of Large Numbers and Functional Central Limit Theorems (FCLT) for both processes. The two FCLTs are applied to...