scholarly journals Optimal Auction Duration: A Price Formation Viewpoint

2021 ◽  
Author(s):  
Jusselin Paul ◽  
Mastrolia Thibaut ◽  
Rosenbaum Mathieu
Keyword(s):  
Supply And Demand ◽  
Price Formation ◽  
Continuous Limit ◽  
Order Book ◽  
Limit Order ◽  
Market Makers ◽  
Optimal Auction ◽  
Order Of Magnitude ◽  
Order Books ◽  
The Impact

Optimal Auction Duration in Financial Markets In the considered auction market, market makers fill the order book during a given time period while some other investors send market orders. The clearing price is set to maximize the exchanged volume at the clearing time according to the supply and demand of each market participant. The error made between this clearing price and the efficient price is derived as a function of the auction duration. We study the impact of the behavior of market takers on this error to minimize their transaction costs. We compute the optimal duration of the auctions for 77 stocks traded on Euronext and compare the quality of the price formation process under this optimal value to the case of a continuous limit order book. Continuous limit order books are usually found to be suboptimal. Order of magnitude of optimal auction durations is from 2–10 minutes.

scholarly journals Instantaneous Order Impact and High-Frequency Strategy Optimization in Limit Order Books

2017 ◽  
Vol 03 (02) ◽  
pp. 1850001 ◽  
Author(s):  
Federico Gonzalez ◽  
Mark Schervish
Keyword(s):  
High Frequency ◽  
Stock Exchange ◽  
Markov Chain Model ◽  
Optimal Order ◽  
Order Book ◽  
Chain Model ◽  
Limit Order ◽  
Limit Orders ◽  
Order Books ◽  
The Impact

We propose a limit order book (LOB) model with dynamics that account for both the impact of the most recent order and volume imbalance. To model these effects jointly we introduce a discrete Markov chain model. We then find the policy for optimal order choice and control. The optimal policy derived uses limit orders, cancellations and market orders. It looks to avoid non-execution and adverse selection risk simultaneously. Using ultra high-frequency data from the NASDAQ stock exchange we compare our policy with other submission strategies that use a subset of all available order types and show that ours significantly outperforms.

scholarly journals The Impact of Iceberg Orders in Limit Order Books

2017 ◽  
Vol 07 (03) ◽  
pp. 1750007 ◽  
Author(s):  
Stefan Frey ◽  
Patrik Sandås
Keyword(s):  
Informed Trading ◽  
Price Impact ◽  
Order Book ◽  
Limit Order ◽  
Reduced Order ◽  
Market Participants ◽  
Limit Orders ◽  
Order Books ◽  
Limit Order Books ◽  
The Impact

We examine the impact of iceberg orders on the price and order flow dynamics in limit order books. Iceberg orders allow traders to simultaneously hide a large portion of their order size and signal their interest in trading to the market. We show that when market participants detect iceberg orders they tend to strongly respond by submitting matching market orders consistent with iceberg orders facilitating the search for latent liquidity. The greater the fraction of an iceberg order that is executed, the smaller is its price impact consistent with liquidity rather than informed trading. The presence of iceberg orders is associated with increased trading consistent with a positive liquidity externality, but the reduced order book transparency associated with iceberg orders also creates an adverse selection cost for limit orders that may partly offset any gains.

Limit order books: a systematic review of literature

2020 ◽  
Vol 12 (4) ◽  
pp. 505-541
Author(s):  
Abhinava Tripathi ◽  
Vipul Vipul ◽  
Alok Dixit
Keyword(s):  
Financial Markets ◽  
Information Dissemination ◽  
Future Research ◽  
Order Book ◽  
Limit Order ◽  
Content Type ◽  
Research Areas ◽  
Order Books ◽  
Intelligent Models ◽  
Limit Order Books

Purpose This study aims to provide a systematic literature review of the research study in the area of limit order book (LOB) mechanism of trading and its implications for market efficiency. The study attempts to document the recent theoretical developments and empirical findings from the literature exhaustively and identifies the research gaps for future research. Design/methodology/approach The study uses seven reputable databases to select 2,514 research studies spanning over 1981-2018 (finally compressed to a pool of 103 articles, based on relevance and impact). The study uses bibliometric network visualization and text analytics to categorize and examine the literature. The chosen articles are compiled and analyzed to provide a comprehensive account of the current research on LOBs. Findings The recent LOB literature is summarized on various criteria as follows: sub-areas, the types of economies and markets, methodologies and the LOB measures. The review identifies a dearth of studies on the LOBs in emerging markets. It suggests the potential research areas as intraday studies in emerging LOB markets; application of market indicators based on deeper levels of LOB, beyond the best prices; market fragmentation, order routing decision and its impact on order execution quality; optimal display of LOB levels; liquidity dynamics in quote-driven markets vis-à-vis LOB markets; effect of high-frequency trading on market microstructure; application of advanced techniques (e.g. machine learning models, zero-intelligent models); relationship between the trading speed, order aggressiveness, shape and resilience of the order book and informed trading; and information content of the auxiliary order submission strategies, including cancellation, amendments and hidden orders. Originality/value For the past 15 years, to the best of the knowledge, a comprehensive review of the literature on LOBs has not been published. The financial markets have transformed significantly over this period, driven by the adoption of LOBs, low latency trading and technological advancements in information dissemination. This article provides an extensive collection and classification of the literature on LOBs. This would be useful for the practitioners, future researchers and academics in the area of financial markets.

scholarly journals Optimal inventory management and order book modeling

2019 ◽  
Vol 65 ◽  
pp. 145-181 ◽  
Author(s):  
Nicolas Baradel ◽  
Bruno Bouchard ◽  
David Evangelista ◽  
Othmane Mounjid
Keyword(s):  
Inventory Management ◽  
High Frequency ◽  
Limit Order Book ◽  
Order Book ◽  
Value Functions ◽  
Limit Order ◽  
Terminal Wealth ◽  
Market Makers ◽  
Market Participants ◽  
The One

We model the behavior of three agent classes acting dynamically in a limit order book of a financial asset. Namely, we consider market makers (MM), high-frequency trading (HFT) firms, and institutional brokers (IB). Given a prior dynamic of the order book, similar to the one considered in the Queue-Reactive models [12, 18, 19], the MM and the HFT define their trading strategy by optimizing the expected utility of terminal wealth, while the IB has a prescheduled task to sell or buy many shares of the considered asset. We derive the variational partial differential equations that characterize the value functions of the MM and HFT and explain how almost optimal control can be deduced from them. We then provide a first illustration of the interactions that can take place between these different market participants by simulating the dynamic of an order book in which each of them plays his own (optimal) strategy.

GENERAL SEMI-MARKOV MODEL FOR LIMIT ORDER BOOKS

2017 ◽  
Vol 20 (03) ◽  
pp. 1750019 ◽  
Author(s):  
ANATOLIY SWISHCHUK ◽  
TYLER HOFMEISTER ◽  
KATHARINA CERA ◽  
JULIA SCHMIDT
Keyword(s):  
Markov Model ◽  
Arbitrary Number ◽  
Limit Order Book ◽  
Numerical Results ◽  
Order Book ◽  
Limit Order ◽  
Price Changes ◽  
Diffusion Limits ◽  
Order Books ◽  
Limit Order Books

The paper considers a general semi-Markov model for limit order books with two states that incorporates price changes that are not fixed to one tick. Furthermore, we introduce an even more general case of the semi-Markov model for limit order books that incorporates an arbitrary number of states for the price changes. For both cases, the justifications, diffusion limits, implementations and numerical results are presented for different limit order book data: Apple, Amazon, Google, Microsoft, Intel on 21 June 2012 and Cisco, Facebook, Intel, Liberty Global, Liberty Interactive, Microsoft, Vodafone from 3 November 2014 to 7 November 2014.

scholarly journals Stochastic simulation framework for the limit order book using liquidity-motivated agents

2015 ◽  
Vol 02 (02) ◽  
pp. 1550013 ◽  
Author(s):  
Efstathios Panayi ◽  
Gareth W. Peters
Keyword(s):  
Limit Order Book ◽  
Model Parameters ◽  
Order Book ◽  
Model Framework ◽  
Modeling Framework ◽  
Limit Order ◽  
Trading Agents ◽  
Order Books ◽  
Real Market ◽  
Limit Order Books

In this paper, we develop a new form of simulation model for limit order books based on heterogeneous trading agents, whose motivations are liquidity driven. These agents are abstractions of real market participants, expressed in a stochastic model framework. We develop an efficient way to perform statistical calibration of the model parameters on Level 2 limit order book data from Chi-X, based on a combination of indirect inference and multi-objective optimization. We then demonstrate how such a modeling framework can be of use in testing exchange regulations, as well as informing brokerage decisions and other trading based scenarios.

Designated Market Makers in Electronic Limit Order Books - A Closer Look

2012 ◽  
Author(s):  
Erik Theissen ◽  
Christian Voigt ◽  
Christian Westheide
Keyword(s):  
Limit Order ◽  
Market Makers ◽  
Order Books ◽  
Limit Order Books
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