Instead of using the classical block-shaped market depth to build the optimal execution model, this work studies the constrained optimal execution problem in a limit order book (LOB) market with a power-shaped market depth. Different from the linear price impact derived from the framework of...

In this paper, we develop a penalized realized variance (PRV) estimator of the quadratic variation (QV) of a high-dimensional continuous Itô semimartingale. We adapt the principle idea of regularization from linear regression to covariance estimation in a continuous-time high-frequency setting....

Automated market makers (AMMs) are algorithms that pool liquidity and make it available to liquidity takers by automatically and algorithmically determining an execution price of a trade. In the recent markets for digital assets, a growing number of blockchain-based decentralized exchanges (DEX)...

We introduce the Realized moMents of Disjoint Increments (ReMeDI) paradigm to measure microstructure noise (the deviation of the observed asset prices from the fundamental values caused by market imperfections). We propose consistent estimators of arbitrary moments of the microstructure noise...

This paper develops a strategic trading model in which the market maker has a monopoly on short-lived information. Given that modern market makers are high frequency traders, it is assumed that market makers are able to process any short-lived information event faster than other traders. Since...

This paper develops a strategic trading model in which uninformed orders are allowed to exhibit a general correlation structure that generates autocorrelation in the order flow. Since the order flow is predictable, informed traders and the market maker not only need to infer information about...

The empirical finding that market movements in stock prices may be correlated with the order flow of other stocks has led to the notion of "cross-impact" and has prompted the development of multivariate models of market impact. These models are parametrized by a matrix of impact coefficients...

This paper examines the trading behavior of individual investors using a proprietary intraday dataset of a large pool of retail investor aggregate (minute by minute) long and short positions in EUR/USD for the period July 2014 to April 2016. Standard event study analysis shows no significant...

This paper analyzes the limit order book events arrival dependency structure using high-dimensional Hawkes processes. We seek for recurrent relationships among events from a set of 86 event types which in addition to transactions, includes limit order submissions and cancellations taking place...