The Probability of Informed Trading (PIN) is a widely used indicator of information asymmetry risk in the trading of securities. Its estimation using maximum likelihood algorithms has been shown to be problematic, resulting in biased estimates, especially in the case of liquid and frequently...

We meticulously scrutinize the widely acknowledged measures of the Probability of Informed Trading (PIN) and the Volume-Synchronized Probability of Informed Trading (VPIN), initially posited by David Easley et al., which have achieved considerable eminence within the realm of financial academia....

In this paper, the interactions between a large informed trader (IT, for short) and a high-frequency trader (HFT, for short) who can anticipate the former's incoming order are studied in an extended Kyle's model. Equilibria under various specific situations are discussed. We find that, in...

The purpose of this study was to analyze the effects that have been caused by changes in pre-trade transparency upon the behavior of stock traders. We used a trade size model and tested it before, during and after the period when the Italian Stock Exchange introduced a 20-level order book with...

This paper models the trading intensity of the US Treasury bond market, which has a unique expandable limit order book that distinguishes it from other asset markets. The results indicate that the trade duration exhibits significant clustering and threshold effects. Further, the time taken to...

Speeding up the exchange does not necessarily improve liquidity. The price quotes of high-frequency market makers are more likely to meet speculative high-frequency "bandits", thus less likely to meet liquidity traders. The bid-ask spread is raised in response. The recursive dynamic model...

This paper investigates the speed of price discovery when information becomes publicly available but requires costly processing to become common knowledge. We exploit the unique institutional setting of hacks on decentralized finance (DeFi) protocols. Public blockchain data provides the precise...

The effectiveness of liquidity provision by HFT firms via the limit order book is an unexplored but central policy issue. Using a unique dataset consisting of limit order placement, execution, and cancellations on Nasdaq, we find that HFT firms do not cancel orders more frequently than non-HFT...

The probability of informed trading (PIN) is used widely as a measure of information asymmetry. Relatively little work has appeared on how well PIN models fit empirical trade data. We reveal structural limitations in PIN models by examining their marginal distributions and dependence structures...

Trading under limited pre-trade transparency becomes increasingly popular on financial markets. We provide first evidence on traders' use of (completely) hidden orders which might be placed even inside of the (displayed) bid-ask spread. Employing TotalView-ITCH data on order messages at NASDAQ,...