More statistical properties of order books and price impact
arXiv:cond-mat/0210710 · doi:10.1016/S0378-4371(02)01896-4
Abstract
We investigate present some new statistical properties of order books. We analyse data from the Nasdaq and investigate (a) the statistics of incoming limit order prices, (b) the shape of the average order book, and (c) the typical life time of a limit order as a function of the distance from the best price. We also determine the `price impact' function using French and British stocks, and find a logarithmic, rather than a power-law, dependence of the price response on the volume. The weak time dependence of the response function shows that the impact is, surprisingly, quasi-permanent, and suggests that trading itself is interpreted by the market as new information.
arXiv commentProceedings of the Bali conference of Econophysics, to appear in Physica A
References in corpus (15)
- Market force, ecology and evolution
- Price Variations in a Stock Market With Many Agents
- A Langevin Approach to Stock Market Fluctuations and Crashes
- Statistical theory of the continuous double auction
- Statistical properties of stock order books: empirical results and models
- Quantifying Stock Price Response to Demand Fluctuations
- Toward a Theory of Marginally Efficient Markets
- Simple model of a limit order-driven market
- Price fluctuations from the order book perspective - empirical facts and a simple model
- Analyzing and modelling 1+1d markets
- Mean-field approximation for a limit order driven market model
- Exact Hurst exponent and crossover behavior in a limit order market model
- Single Curve Collapse of the Price Impact Function for the New York Stock Exchange
- Numerical analysis of the Minimal and Two-Liquid models of the Market Microstructure
- Exclusion particle models of limit order financial markets
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- Statistical theory of the continuous double auction
- The Impact of Heterogeneous Trading Rules on the Limit Order Book and Order Flows
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- Importance of Positive Feedbacks and Over-confidence in a Self-Fulfilling Ising Model of Financial Markets
- Fluctuations and response in financial markets: the subtle nature of `random' price changes
- On the probability distribution of stock returns in the Mike-Farmer model
- Econophysics: Empirical facts and agent-based models
- Detrended cross-correlations between returns, volatility, trading activity, and volume traded for the stock market companies
- Optimal portfolio liquidation with execution cost and risk
- Empirical shape function of limit-order books in the Chinese stock market
- The order book as a queueing system: average depth and influence of the size of limit orders
- Critical comparison of several order-book models for stock-market fluctuations
- Limit order placement as an utility maximization problem and the origin of power law distribution of limit order prices
- Cross-response in correlated financial markets: individual stocks
- Empirical regularities of order placement in the Chinese stock market
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- Calibration of optimal execution of financial transactions in the presence of transient market impact
- Bridging stylized facts in finance and data non-stationarities
- Dynamics of Bid-ask Spread Return and Volatility of the Chinese Stock Market
- Liquidity Crisis, Granularity of the Order Book and Price Fluctuations
- Mechanical vs. informational components of price impact
- The limit order book on different time scales
- Scaling and memory in the non-poisson process of limit order cancelation
- Understanding Financial Market States Using Artificial Double Auction Market
- Deviations in expected price impact for small transaction volumes under fee restructuring
- Risk management with machine-learning-based algorithms
- Empirical properties of inter-cancellation durations in the Chinese stock market
- High-frequency market-making with inventory constraints and directional bets
- Microscopic Understanding of Cross-Responses between Stocks: a Two-Component Price Impact Model
- Asymmetric statistics of order books: The role of discreteness and evidence for strategic order placement
- A simple learning agent interacting with an agent-based market model
- Market reaction to temporary liquidity crises and the permanent market impact
- Immediate price impact of a stock and its warrant: Power-law or logarithmic model?
- An empirical behavioral model of price formation
- Individual impact of agent actions in financial markets
- Price response functions and spread impact in correlated financial markets
- The demise of constant price impact functions and single-time step models of speculation
- The position profiles of order cancellations in an emerging stock market
- David vs Goliath (You against the Markets), A Dynamic Programming Approach to Separate the Impact and Timing of Trading Costs
- Regularities and Irregularities in Order Flow Data
- Foreign exchange markets: price response and spread impact
- Limit-order book resiliency after effective market orders: Spread, depth and intensity
- Heavy-Tailed Features and Empirical Analysis of the Limit Order Book Volume Profiles in Futures Markets
- Price response in correlated financial markets: empirical results
- Two Price Regimes in Limit Order Books: Liquidity Cushion and Fragmented Distant Field
- Memory effects in stock price dynamics: evidences of technical trading
- On Optimal Pricing Model for Multiple Dealers in a Competitive Market
- Exact and asymptotic solutions of the call auction problem
- A Monte Carlo method for optimal portfolio executions
- Hedging Non-Tradable Risks with Transaction Costs and Price Impact
- Matching in size: How market impact depends on the concentration of trading
- Analytic formula for option margin with liquidity costs under dynamic delta hedging
- Limit order trading with a mean reverting reference price
- Optimal execution and price manipulations in time-varying limit order books
- Random walks, liquidity molasses and critical response in financial markets
- Clearing price distributions in call auctions