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Optimal Execution With Nonlinear Transient Market Impact
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Book Synopsis Optimal Execution with Nonlinear Transient Market Impact by : Gianbiagio Curato
Download or read book Optimal Execution with Nonlinear Transient Market Impact written by Gianbiagio Curato and published by . This book was released on 2017 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study the problem of the optimal execution of a large trade in the propagator model with nonlinear transient impact. From brute force numerical optimization of the cost functional, we find that the optimal solution for a buy program typically features a few short intense buying periods separated by long periods of weak selling. Indeed, in some cases we find negative expected cost. We show that this undesirable characteristic of the nonlinear transient impact model may be mitigated either by introducing a bid-ask spread cost or by imposing convexity of the instantaneous market impact function for large trading rates.
Book Synopsis Discrete Homotopy Analysis for Optimal Trading Execution with Nonlinear Transient Market Impact by : Gianbiagio Curato
Download or read book Discrete Homotopy Analysis for Optimal Trading Execution with Nonlinear Transient Market Impact written by Gianbiagio Curato and published by . This book was released on 2016 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal execution in financial markets is the problem of how to trade a large quantity of shares incrementally in time in order to minimise the expected cost. In this paper we study the problem of the optimal execution in the presence of nonlinear transient market impact. Mathematically such problem is equivalent to solve a strongly nonlinear integral equation, which in our model is a weakly singular Urysohn equation of the first kind. We propose an approach based on homotopy analysis method (HAM), whereby a well behaved initial trading strategy is continuously deformed to lower the expected execution cost. Specifically we propose a discrete version of the HAM, i.e. the DHAM approach, in order to use the method when the integrals to compute have no closed form solution. We find that the optimal solution is front loaded for concave instantaneous impact even when the investor is risk neutral. More important we find that the expected cost of the DHAM strategy is significantly smaller than the cost of conventional strategies.
Book Synopsis Handbook of Financial Markets: Dynamics and Evolution by : Thorsten Hens
Download or read book Handbook of Financial Markets: Dynamics and Evolution written by Thorsten Hens and published by Elsevier. This book was released on 2009-06-12 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: The models of portfolio selection and asset price dynamics in this volume seek to explain the market dynamics of asset prices. Presenting a range of analytical, empirical, and numerical techniques as well as several different modeling approaches, the authors depict the state of debate on the market selection hypothesis. By explicitly assuming the heterogeneity of investors, they present models that are descriptive and normative as well, making the volume useful for both finance theorists and financial practitioners. Explains the market dynamics of asset prices, offering insights about asset management approaches Assumes a heterogeneity of investors that yields descriptive and normative models of portfolio selections and asset pricing dynamics
Book Synopsis Market Microstructure In Practice (Second Edition) by : Charles-albert Lehalle
Download or read book Market Microstructure In Practice (Second Edition) written by Charles-albert Lehalle and published by World Scientific. This book was released on 2018-01-18 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book exposes and comments on the consequences of Reg NMS and MiFID on market microstructure. It covers changes in market design, electronic trading, and investor and trader behaviors. The emergence of high frequency trading and critical events like the'Flash Crash' of 2010 are also analyzed in depth.Using a quantitative viewpoint, this book explains how an attrition of liquidity and regulatory changes can impact the whole microstructure of financial markets. A mathematical Appendix details the quantitative tools and indicators used through the book, allowing the reader to go further independently.This book is written by practitioners and theoretical experts and covers practical aspects (like the optimal infrastructure needed to trade electronically in modern markets) and abstract analyses (like the use on entropy measurements to understand the progress of market fragmentation).As market microstructure is a recent academic field, students will benefit from the book's overview of the current state of microstructure and will use the Appendix to understand important methodologies. Policy makers and regulators will use this book to access theoretical analyses on real cases. For readers who are practitioners, this book delivers data analysis and basic processes like the designs of Smart Order Routing and trade scheduling algorithms.In this second edition, the authors have added a large section on orderbook dynamics, showing how liquidity can predict future price moves, and how High Frequency Traders can profit from it. The section on market impact has also been updated to show how buying or selling pressure moves prices not only for a few hours, but even for days, and how prices relax (or not) after a period of intense pressure.Further, this edition includes pages on Dark Pools, Circuit Breakers and added information outside of Equity Trading, because MiFID 2 is likely to push fixed income markets towards more electronification. The authors explore what is to be expected from this change in microstructure. The appendix has also been augmented to include the propagator models (for intraday price impact), a simple version of Kyle's model (1985) for daily market impact, and a more sophisticated optimal trading framework, to support the design of trading algorithms.
Book Synopsis Algorithmic and High-Frequency Trading by : Álvaro Cartea
Download or read book Algorithmic and High-Frequency Trading written by Álvaro Cartea and published by Cambridge University Press. This book was released on 2015-08-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The design of trading algorithms requires sophisticated mathematical models backed up by reliable data. In this textbook, the authors develop models for algorithmic trading in contexts such as executing large orders, market making, targeting VWAP and other schedules, trading pairs or collection of assets, and executing in dark pools. These models are grounded on how the exchanges work, whether the algorithm is trading with better informed traders (adverse selection), and the type of information available to market participants at both ultra-high and low frequency. Algorithmic and High-Frequency Trading is the first book that combines sophisticated mathematical modelling, empirical facts and financial economics, taking the reader from basic ideas to cutting-edge research and practice. If you need to understand how modern electronic markets operate, what information provides a trading edge, and how other market participants may affect the profitability of the algorithms, then this is the book for you.
Book Synopsis The Financial Mathematics of Market Liquidity by : Olivier Gueant
Download or read book The Financial Mathematics of Market Liquidity written by Olivier Gueant and published by CRC Press. This book was released on 2016-03-30 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is among the first to present the mathematical models most commonly used to solve optimal execution problems and market making problems in finance. The Financial Mathematics of Market Liquidity: From Optimal Execution to Market Making presents a general modeling framework for optimal execution problems-inspired from the Almgren-Chriss app
Book Synopsis Optimal Execution with Transient Impact by : Ngoc-Minh Dang
Download or read book Optimal Execution with Transient Impact written by Ngoc-Minh Dang and published by . This book was released on 2014 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider the model of asset prices with transient impact as proposed in Gatheral (2008) and minimize the mean-variance functional of the execution cost. Using a non-classical result on calculus of variations, we obtain an integral equation characterizing the optimal strategy. The latter takes the form of a Fredholm integral equation of the second kind, we then provide a scheme to solve it numerically and verify indeed some no-arbitrage conditions.
Book Synopsis Handbook on Systemic Risk by : Jean-Pierre Fouque
Download or read book Handbook on Systemic Risk written by Jean-Pierre Fouque and published by Cambridge University Press. This book was released on 2013-05-23 with total page 993 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook on Systemic Risk, written by experts in the field, provides researchers with an introduction to the multifaceted aspects of systemic risks facing the global financial markets. The Handbook explores the multidisciplinary approaches to analyzing this risk, the data requirements for further research, and the recommendations being made to avert financial crisis. The Handbook is designed to encourage new researchers to investigate a topic with immense societal implications as well as to provide, for those already actively involved within their own academic discipline, an introduction to the research being undertaken in other disciplines. Each chapter in the Handbook will provide researchers with a superior introduction to the field and with references to more advanced research articles. It is the hope of the editors that this Handbook will stimulate greater interdisciplinary academic research on the critically important topic of systemic risk in the global financial markets.
Book Synopsis Trading with Small Nonlinear Price Impact by : Thomas Marie Léopold André Cayé
Download or read book Trading with Small Nonlinear Price Impact written by Thomas Marie Léopold André Cayé and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Empirical Market Microstructure by : Joel Hasbrouck
Download or read book Empirical Market Microstructure written by Joel Hasbrouck and published by Oxford University Press. This book was released on 2007-01-04 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Econophysics of Order-driven Markets by : Frédéric Abergel
Download or read book Econophysics of Order-driven Markets written by Frédéric Abergel and published by Springer Science & Business Media. This book was released on 2011-04-06 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis High-Frequency Trading by : Irene Aldridge
Download or read book High-Frequency Trading written by Irene Aldridge and published by John Wiley & Sons. This book was released on 2013-04-22 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fully revised second edition of the best guide to high-frequency trading High-frequency trading is a difficult, but profitable, endeavor that can generate stable profits in various market conditions. But solid footing in both the theory and practice of this discipline are essential to success. Whether you're an institutional investor seeking a better understanding of high-frequency operations or an individual investor looking for a new way to trade, this book has what you need to make the most of your time in today's dynamic markets. Building on the success of the original edition, the Second Edition of High-Frequency Trading incorporates the latest research and questions that have come to light since the publication of the first edition. It skillfully covers everything from new portfolio management techniques for high-frequency trading and the latest technological developments enabling HFT to updated risk management strategies and how to safeguard information and order flow in both dark and light markets. Includes numerous quantitative trading strategies and tools for building a high-frequency trading system Address the most essential aspects of high-frequency trading, from formulation of ideas to performance evaluation The book also includes a companion Website where selected sample trading strategies can be downloaded and tested Written by respected industry expert Irene Aldridge While interest in high-frequency trading continues to grow, little has been published to help investors understand and implement this approach—until now. This book has everything you need to gain a firm grip on how high-frequency trading works and what it takes to apply it to your everyday trading endeavors.
Book Synopsis Trades, Quotes and Prices by : Jean-Philippe Bouchaud
Download or read book Trades, Quotes and Prices written by Jean-Philippe Bouchaud and published by Cambridge University Press. This book was released on 2018-03-22 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Market Microstructure by : Frédéric Abergel
Download or read book Market Microstructure written by Frédéric Abergel and published by John Wiley & Sons. This book was released on 2012-04-03 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latest cutting-edge research on market microstructure Based on the December 2010 conference on market microstructure, organized with the help of the Institut Louis Bachelier, this guide brings together the leading thinkers to discuss this important field of modern finance. It provides readers with vital insight on the origin of the well-known anomalous "stylized facts" in financial prices series, namely heavy tails, volatility, and clustering, and illustrates their impact on the organization of markets, execution costs, price impact, organization liquidity in electronic markets, and other issues raised by high-frequency trading. World-class contributors cover topics including analysis of high-frequency data, statistics of high-frequency data, market impact, and optimal trading. This is a must-have guide for practitioners and academics in quantitative finance.
Book Synopsis Optimal Execution by : Igor Skachkov
Download or read book Optimal Execution written by Igor Skachkov and published by . This book was released on 2015 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal execution of portfolio transactions is the essential part of algorithmic trading. The main result of this paper is the analytical equationfor the optimal trading trajectories with the assumption of exponential market recovery and short-time investment horizon. The formula has the same form and as simple as well known solution by GKAC ( R. Grinold and R. Kahn, R.Almgren and N.Chriss) but much more flexible. Also it is free of such undesirable features as infinite impact for finite discrete trades and instantaneous market recovery. In this revision we corrected typos and added appendix with illustrations of main equation.
Book Synopsis Feedback Systems by : Karl Johan Åström
Download or read book Feedback Systems written by Karl Johan Åström and published by Princeton University Press. This book was released on 2021-02-02 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential introduction to the principles and applications of feedback systems—now fully revised and expanded This textbook covers the mathematics needed to model, analyze, and design feedback systems. Now more user-friendly than ever, this revised and expanded edition of Feedback Systems is a one-volume resource for students and researchers in mathematics and engineering. It has applications across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. Features a new chapter on design principles and tools, illustrating the types of problems that can be solved using feedback Includes a new chapter on fundamental limits and new material on the Routh-Hurwitz criterion and root locus plots Provides exercises at the end of every chapter Comes with an electronic solutions manual An ideal textbook for undergraduate and graduate students Indispensable for researchers seeking a self-contained resource on control theory
Book Synopsis Deterministic Artificial Intelligence by : Timothy Sands
Download or read book Deterministic Artificial Intelligence written by Timothy Sands and published by BoD – Books on Demand. This book was released on 2020-05-27 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kirchhoff’s laws give a mathematical description of electromechanics. Similarly, translational motion mechanics obey Newton’s laws, while rotational motion mechanics comply with Euler’s moment equations, a set of three nonlinear, coupled differential equations. Nonlinearities complicate the mathematical treatment of the seemingly simple action of rotating, and these complications lead to a robust lineage of research culminating here with a text on the ability to make rigid bodies in rotation become self-aware, and even learn. This book is meant for basic scientifically inclined readers commencing with a first chapter on the basics of stochastic artificial intelligence to bridge readers to very advanced topics of deterministic artificial intelligence, espoused in the book with applications to both electromechanics (e.g. the forced van der Pol equation) and also motion mechanics (i.e. Euler’s moment equations). The reader will learn how to bestow self-awareness and express optimal learning methods for the self-aware object (e.g. robot) that require no tuning and no interaction with humans for autonomous operation. The topics learned from reading this text will prepare students and faculty to investigate interesting problems of mechanics. It is the fondest hope of the editor and authors that readers enjoy the book.
