Trade arrival dynamics and quote imbalance in a limit order book

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Trade arrival dynamics and quote imbalance in a limit order book

Alexander Lipton
Umberto Pesavento
Michael G Sotiropoulos
Published on 12/2/2013
Equities
Stocks
High frequency trading
Risk management
Backtesting
Machine learning

This paper investigates the intricate relationship between the dynamics of bid and ask queues in a limit order book and the intensity of trade arrivals. The research focuses specifically on how quote imbalance at the top of the book influences both the probability of price movements and the arrival of trades. By examining these connections, the study provides insights into market microstructure behavior and the mechanisms through which order flow affects price formation.

The authors develop a novel stochastic model designed to capture the joint dynamics of the top-of-book queues and the trading process. They implement a semi-analytic approach to calculate the relative probabilities of various market events, allowing for efficient computation of event likelihoods based on current market conditions. The model is then calibrated using historical market data, with the researchers evaluating both the quality of fit and the practical applications of their results for market participants and quantitative analysts.

Highlights

  • 1Examines the relationship between bid-ask queue dynamics and trade arrival intensity
  • 2Proposes a stochastic model for joint dynamics of top-of-book queues and trading process
  • 3Develops a semi-analytic approach to calculate probabilities of market events
  • 4Calibrates the model using historical market data and assesses practical applications

Methods

  • M
    Stochastic modeling of limit order book dynamics
  • M
    Semi-analytic probability calculation for market events
  • M
    Historical market data calibration
  • M
    Statistical analysis of quote imbalance effects

Results

  • R
    Identifies significant relationship between quote imbalance and trade arrival intensity
  • R
    Demonstrates model's ability to capture joint dynamics of queues and trading process
  • R
    Provides quantitative probabilities for price movements based on quote imbalance
  • R
    Shows practical applications for market microstructure analysis and trading strategies
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