Fill Probability

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SUMMARY

Fill probability is a statistical measure that estimates the likelihood of an order being executed at a specified price level in financial markets. This critical metric helps traders and algorithms optimize order placement strategies by balancing execution certainty against price improvement opportunities.

Understanding fill probability

Fill probability represents the estimated likelihood that a limit order will be executed within a specific time horizon. This probability varies based on multiple factors, including:

  • Distance from the current market price
  • Order size relative to market depth
  • Historical trading volume
  • Time of day
  • Market volatility
  • Order book dynamics

For example, a limit buy order placed significantly below the current market price will have a lower fill probability than one placed closer to the best ask price.

Next generation time-series database

QuestDB is an open-source time-series database optimized for market and heavy industry data. Built from scratch in Java and C++, it offers high-throughput ingestion and fast SQL queries with time-series extensions.

Applications in algorithmic trading

Algorithmic Trading systems use fill probability models to optimize order placement strategies. These models help balance the tradeoff between:

  • Execution certainty (higher fill probability)
  • Price improvement (lower fill probability)

Fill probability modeling

Modern trading systems estimate fill probabilities using various approaches:

  • Historical execution analysis
  • Order book dynamics
  • Volume profiles
  • Market microstructure models
  • Machine learning techniques

The models typically incorporate Market Impact Models and Liquidity Cost Functions in Market Impact Models to provide more accurate estimates.

Next generation time-series database

QuestDB is an open-source time-series database optimized for market and heavy industry data. Built from scratch in Java and C++, it offers high-throughput ingestion and fast SQL queries with time-series extensions.

Impact on execution strategies

Fill probability directly influences Smart Order Execution Strategies:

  1. High fill probability requirements may lead to more aggressive pricing
  2. Lower fill probability tolerance allows for more passive order placement
  3. Dynamic adjustment based on urgency and market conditions

Traders must balance fill probability against other execution quality metrics like:

Real-time adaptation

Modern trading systems continuously update fill probability estimates based on real-time market conditions:

This adaptive approach helps maintain optimal order placement strategies as market conditions change throughout the trading day.

Relationship with market microstructure

Fill probability is closely tied to market microstructure elements:

Understanding these relationships helps traders develop more effective execution strategies.

Applications in risk management

Fill probability analysis plays a crucial role in risk management:

  • Position unwinding scenarios
  • Emergency liquidation planning
  • Counterparty risk assessment
  • Portfolio rebalancing strategies

Risk managers use fill probability metrics to estimate the time and cost required to exit positions under various market conditions.

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