Universal Price Impact Functions of Individual Trades in an Order-Driven Market PDF Download
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Author: Wei-Xing Zhou
Publisher:
ISBN:
Category :
Languages : en
Pages : 17
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Book Description
The trade size $ omega$ has direct impact on the price formation of the stock traded. Econophysical analyses of transaction data for the US and Australian stock markets have uncovered market-specific scaling laws, where a master curve of price impact can be obtained in each market when stock capitalization $C$ is included as an argument in the scaling relation. However, the rationale of introducing stock capitalization in the scaling is unclear and the anomalous negative correlation between price change $r$ and trade size $ omega$ for small trades is unexplained. Here we show that these issues can be addressed by taking into account the aggressiveness of orders that result in trades together with a proper normalization technique. Using order book data from the Chinese market, we show that trades from filled and partially filled limit orders have very different price impact. The price impact of trades from partially filled orders is constant when the volume is not too large, while that of filled orders shows power-law behavior $r sim omega^ alpha$ with $ alpha approx2/3$. When returns and volumes are normalized by stock-dependent averages, capitalization-independent scaling laws emerge for both types of trades. However, no scaling relation in terms of stock capitalization can be constructed. In addition, the relation $ alpha= alpha_ omega/ alpha_r$ is verified, where $ alpha_ omega$ and $ alpha_r$ are the tail exponents of trade sizes and returns. These observations also enable us to explain the anomalous negative correlation between $r$ and $ omega$ for small-size trades. We anticipate that these regularities may hold in other order-driven markets.
Author: Wei-Xing Zhou
Publisher:
ISBN:
Category :
Languages : en
Pages : 17
Get Book Here
Book Description
The trade size $ omega$ has direct impact on the price formation of the stock traded. Econophysical analyses of transaction data for the US and Australian stock markets have uncovered market-specific scaling laws, where a master curve of price impact can be obtained in each market when stock capitalization $C$ is included as an argument in the scaling relation. However, the rationale of introducing stock capitalization in the scaling is unclear and the anomalous negative correlation between price change $r$ and trade size $ omega$ for small trades is unexplained. Here we show that these issues can be addressed by taking into account the aggressiveness of orders that result in trades together with a proper normalization technique. Using order book data from the Chinese market, we show that trades from filled and partially filled limit orders have very different price impact. The price impact of trades from partially filled orders is constant when the volume is not too large, while that of filled orders shows power-law behavior $r sim omega^ alpha$ with $ alpha approx2/3$. When returns and volumes are normalized by stock-dependent averages, capitalization-independent scaling laws emerge for both types of trades. However, no scaling relation in terms of stock capitalization can be constructed. In addition, the relation $ alpha= alpha_ omega/ alpha_r$ is verified, where $ alpha_ omega$ and $ alpha_r$ are the tail exponents of trade sizes and returns. These observations also enable us to explain the anomalous negative correlation between $r$ and $ omega$ for small-size trades. We anticipate that these regularities may hold in other order-driven markets.
Author: Jean-Philippe Bouchaud
Publisher: Cambridge University Press
ISBN: 110715605X
Category : Business & Economics
Languages : en
Pages : 463
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Book Description
A deep-dive into the heart of modern financial markets, the authors explore why and how people trade - and the consequences.
Author: Kevin T Webster
Publisher: CRC Press
ISBN: 1000877655
Category : Mathematics
Languages : en
Pages : 433
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Book Description
Builds a market simulator to back test trading algorithms Implements closed-form strategies that optimize trading signals Measures liquidity risk and stress test portfolios for fire sales Analyze algorithms’ performance controlling for common trading biases Estimates price impact models using the public trading tape
Author: Wei-Xing Zhou
Publisher: Cambridge University Press
ISBN: 100938175X
Category : Business & Economics
Languages : en
Pages : 86
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Book Description
This Element aims to provide a systemic description of the techniques and research framework of recurrence interval analysis of financial time series. The authors also provide perspectives on future topics in this direction.
Author: Bence Toth
Publisher:
ISBN:
Category :
Languages : en
Pages : 9
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Book Description
We analyze a proprietary dataset of trades by a single asset manager, comparing their price impact with that of the trades of the rest of the market. In the context of a linear propagator model we find no significant difference between the two, suggesting that both the magnitude and time dependence of impact are universal in anonymous, electronic markets. This result is important as optimal execution policies often rely on propagators calibrated on anonymous data. We also find evidence that in the wake of a trade the order flow of other market participants first adds further copy-cat trades enhancing price impact on very short time scales. The induced order flow then quickly inverts, thereby contributing to impact decay.
Author: Jean-Philippe Bouchaud
Publisher: Cambridge University Press
ISBN: 1108639062
Category : Science
Languages : en
Pages : 464
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Book Description
The widespread availability of high-quality, high-frequency data has revolutionised the study of financial markets. By describing not only asset prices, but also market participants' actions and interactions, this wealth of information offers a new window into the inner workings of the financial ecosystem. In this original text, the authors discuss empirical facts of financial markets and introduce a wide range of models, from the micro-scale mechanics of individual order arrivals to the emergent, macro-scale issues of market stability. Throughout this journey, data is king. All discussions are firmly rooted in the empirical behaviour of real stocks, and all models are calibrated and evaluated using recent data from Nasdaq. By confronting theory with empirical facts, this book for practitioners, researchers and advanced students provides a fresh, new, and often surprising perspective on topics as diverse as optimal trading, price impact, the fragile nature of liquidity, and even the reasons why people trade at all.
Author: Frédéric Abergel
Publisher: Cambridge University Press
ISBN: 1316870480
Category : Mathematics
Languages : en
Pages : 242
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Book Description
A limit order book is essentially a file on a computer that contains all orders sent to the market, along with their characteristics such as the sign of the order, price, quantity and a timestamp. The majority of organized electronic markets rely on limit order books to store the list of interests of market participants on their central computer. A limit order book contains all the information available on a specific market and it reflects the way the market moves under the influence of its participants. This book discusses several models of limit order books. It begins by discussing the data to assess their empirical properties, and then moves on to mathematical models in order to reproduce the observed properties. Finally, the book presents a framework for numerical simulations. It also covers important modelling techniques including agent-based modelling, and advanced modelling of limit order books based on Hawkes processes. The book also provides in-depth coverage of simulation techniques and introduces general, flexible, open source library concepts useful to readers studying trading strategies in order-driven markets.
Author: Frédéric Abergel
Publisher: Springer Science & Business Media
ISBN: 8847017661
Category : Business & Economics
Languages : en
Pages : 316
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Book Description
The primary goal of the book is to present the ideas and research findings of active researchers from various communities (physicists, economists, mathematicians, financial engineers) working in the field of "Econophysics", who have undertaken the task of modelling and analyzing order-driven markets. Of primary interest in these studies are the mechanisms leading to the statistical regularities ("stylized facts") of price statistics. Results pertaining to other important issues such as market impact, the profitability of trading strategies, or mathematical models for microstructure effects, are also presented. Several leading researchers in these fields report on their recent work and also review the contemporary literature. Some historical perspectives, comments and debates on recent issues in Econophysics research are also included.
Author: Joel Hasbrouck
Publisher: Oxford University Press
ISBN: 0198041306
Category : Business & Economics
Languages : en
Pages : 209
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Book Description
The interactions that occur in securities markets are among the fastest, most information intensive, and most highly strategic of all economic phenomena. This book is about the institutions that have evolved to handle our trading needs, the economic forces that guide our strategies, and statistical methods of using and interpreting the vast amount of information that these markets produce. The book includes numerous exercises.
Author: Joseph Rosen
Publisher:
ISBN: 9780981464602
Category : Electronic trading of securities
Languages : en
Pages : 0
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Book Description
This book provides a comprehensive look at the challenges of keeping up with liquidity needs and technology advancements. It is also a sourcebook for understandable, practical solutions on trading and technology.
