Optimal Mean Reversion Trading

Optimal Mean Reversion Trading

Author: Tim Leung (Professor of industrial engineering)

Publisher: World Scientific

Published: 2015-11-26

Total Pages: 221

ISBN-13: 9814725927

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"Optimal Mean Reversion Trading: Mathematical Analysis and Practical Applications provides a systematic study to the practical problem of optimal trading in the presence of mean-reverting price dynamics. It is self-contained and organized in its presentation, and provides rigorous mathematical analysis as well as computational methods for trading ETFs, options, futures on commodities or volatility indices, and credit risk derivatives. This book offers a unique financial engineering approach that combines novel analytical methodologies and applications to a wide array of real-world examples. It extracts the mathematical problems from various trading approaches and scenarios, but also addresses the practical aspects of trading problems, such as model estimation, risk premium, risk constraints, and transaction costs. The explanations in the book are detailed enough to capture the interest of the curious student or researcher, and complete enough to give the necessary background material for further exploration into the subject and related literature. This book will be a useful tool for anyone interested in financial engineering, particularly algorithmic trading and commodity trading, and would like to understand the mathematically optimal strategies in different market environments."--


Optimal Mean Reversion Trading: Mathematical Analysis And Practical Applications

Optimal Mean Reversion Trading: Mathematical Analysis And Practical Applications

Author: Tim Siu-tang Leung

Publisher: World Scientific

Published: 2015-11-26

Total Pages: 221

ISBN-13: 9814725935

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Optimal Mean Reversion Trading: Mathematical Analysis and Practical Applications provides a systematic study to the practical problem of optimal trading in the presence of mean-reverting price dynamics. It is self-contained and organized in its presentation, and provides rigorous mathematical analysis as well as computational methods for trading ETFs, options, futures on commodities or volatility indices, and credit risk derivatives.This book offers a unique financial engineering approach that combines novel analytical methodologies and applications to a wide array of real-world examples. It extracts the mathematical problems from various trading approaches and scenarios, but also addresses the practical aspects of trading problems, such as model estimation, risk premium, risk constraints, and transaction costs. The explanations in the book are detailed enough to capture the interest of the curious student or researcher, and complete enough to give the necessary background material for further exploration into the subject and related literature.This book will be a useful tool for anyone interested in financial engineering, particularly algorithmic trading and commodity trading, and would like to understand the mathematically optimal strategies in different market environments.


Optimal Mean Reversion Trading

Optimal Mean Reversion Trading

Author: Tim Leung

Publisher:

Published: 2019

Total Pages: 1

ISBN-13:

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This book provides a systematic study on the optimal timing of trades in markets with mean-reverting price dynamics. We present a financial engineering approach that distills the core mathematical questions from different trading problems, and also incorporates the practical aspects of trading, such as model estimation, risk premia, risk constraints, and transaction costs, into our analysis. Self-contained and organized, the book not only discusses the mathematical framework and analytical results for the financial problems, but also gives formulas and numerical tools for practical implementation. A wide array of real-world applications are discussed, such as pairs trading of exchange-traded funds, dynamic portfolio of futures on commodities or volatility indices, and liquidation of options or credit risk derivatives.A core element of our mathematical approach is the theory of optimal stopping. For a number of the trading problems discussed herein, the optimal strategies are represented by the solutions to the corresponding optimal single/multiple stopping problems. This also leads to the analytical and numerical studies of the associated variational inequalities or free boundary problems. We provide an overview of our methodology and chapter outlines in the Introduction.Our objective is to design the book so that it can be useful for doctoral and masters students, advanced undergraduates, and researchers in financial engineering/mathematics, especially those who specialize in algorithmic trading, or have interest in trading exchange-traded funds, commodities, volatility, and credit risk, and related derivatives. For practitioners, we provide formulas for instant strategy implementation, propose new trading strategies with mathematical justification, as well as quantitative enhancement for some existing heuristic trading strategies.


Risk Management and Value

Risk Management and Value

Author: Mondher Bellalah

Publisher: World Scientific

Published: 2008

Total Pages: 645

ISBN-13: 9812770747

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This book provides a comprehensive discussion of the issues related to risk, volatility, value and risk management. It includes a selection of the best papers presented at the Fourth International Finance Conference 2007, qualified by Professor James Heckman, the 2000 Nobel Prize Laureate in Economics, as a high level one. The first half of the book examines ways to manage risk and compute value-at-risk for exchange risk associated to debt portfolios and portfolios of equity. It also covers the Basel II framework implementation and securitisation. The effects of volatility and risk on the valuation of financial assets are further studied in detail. The second half of the book is dedicated to the banking industry, banking competition on the credit market, banking risk and distress, market valuation, managerial risk taking, and value in the ICT activity. With its inclusion of new concepts and recent literature, academics and risk managers will want to read this book. Sample Chapter(s). Introduction (40 KB). Chapter 1: Managing Derivatives in the Presence of a Smile Effect and Incomplete Information (97 KB). Contents: Managing Derivatives in the Presence of a Smile Effect and Incomplete Information (M Bellalah); A Value-at-Risk Approach to Assess Exchange Risk Associated to a Public Debt Portfolio: The Case of a Small Developing Economy (W Ajili); A Method to Find Historical VaR for Portfolio that Follows S&P CNX Nifty Index by Estimating the Index Value (K V N M Ramesh); Some Considerations on the Relationship between Corruption and Economic Growth (V Dragota et al.); Financial Risk Management by Derivatives Caused from Weather Conditions: Its Applicability for Trkiye (T uzkan); The Basel II Framework Implementation and Securitization (M-F Lamy); Stochastic Time Change, Volatility, and Normality of Returns: A High-Frequency Data Analysis with a Sample of LSE Stocks (O Borsali & A Zenaidi); The Behavior of the Implied Volatility Surface: Evidence from Crude Oil Futures Options (A Bouden); Procyclical Behavior of Loan Loss Provisions and Banking Strategies: An Application to the European Banks (D D Dinamona); Market Power and Banking Competition on the Credit Market (I Lapteacru); Early Warning Detection of Banking Distress OCo Is Failure Possible for European Banks? (A Naouar); Portfolio Diversification and Market Share Analysis for Romanian Insurance Companies (M Dragota et al.); On the Closed-End Funds Discounts/Premiums in the Context of the Investor Sentiment Theory (A P C do Monte & M J da Rocha Armada); Why has Idiosyncratic Volatility Increased in Europe? (J-E Palard); Debt Valuation, Enterprise Assessment and Applications (D Vanoverberghe); Does The Tunisian Stock Market Overreact? (F Hammami & E Abaoub); Investor-Venture Capitalist Relationship: Asymmetric Information, Uncertainty, and Monitoring (M Cherif & S Sraieb); Threshold Mean Reversion in Stock Prices (F Jawadi); Households'' Expectations of Unemployment: New Evidence from French Microdata (S Ghabri); Corporate Governance and Managerial Risk Taking: Empirical Study in the Tunisian Context (A B Aroui & F W B M Douagi); Nonlinearity and Genetic Algorithms in the Decision-Making Process (N Hachicha & A Bouri); ICT and Performance of the Companies: The Case of the Tunisian Companies (J Ziadi); Option Market Microstructure (J-M Sahut); Does the Standardization of Business Processes Improve Management? The Case of Enterprise Resource Planning Systems (T Chtioui); Does Macroeconomic Transparency Help Governments be Solvent? Evidence from Recent Data (R Mallat & D K Nguyen). Readership: Academics and risk managers."


Pairs Trading

Pairs Trading

Author: Ganapathy Vidyamurthy

Publisher: John Wiley & Sons

Published: 2011-02-02

Total Pages: 295

ISBN-13: 111804570X

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The first in-depth analysis of pairs trading Pairs trading is a market-neutral strategy in its most simple form. The strategy involves being long (or bullish) one asset and short (or bearish) another. If properly performed, the investor will gain if the market rises or falls. Pairs Trading reveals the secrets of this rigorous quantitative analysis program to provide individuals and investment houses with the tools they need to successfully implement and profit from this proven trading methodology. Pairs Trading contains specific and tested formulas for identifying and investing in pairs, and answers important questions such as what ratio should be used to construct the pairs properly. Ganapathy Vidyamurthy (Stamford, CT) is currently a quantitative software analyst and developer at a major New York City hedge fund.


Applied Quantitative Methods for Trading and Investment

Applied Quantitative Methods for Trading and Investment

Author: Christian L. Dunis

Publisher: John Wiley & Sons

Published: 2004-01-09

Total Pages: 426

ISBN-13: 0470871342

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This book provides a manual on quantitative financial analysis. Focusing on advanced methods for modelling financial markets in the context of practical financial applications, it will cover data, software and techniques that will enable the reader to implement and interpret quantitative methodologies, specifically for trading and investment. Includes contributions from an international team of academics and quantitative asset managers from Morgan Stanley, Barclays Global Investors, ABN AMRO and Credit Suisse First Boston. Fills the gap for a book on applied quantitative investment & trading models Provides details of how to combine various models to manage and trade a portfolio


Algorithmic and High-Frequency Trading

Algorithmic and High-Frequency Trading

Author: Álvaro Cartea

Publisher: Cambridge University Press

Published: 2015-08-06

Total Pages: 360

ISBN-13: 1316453650

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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.


Leveraged Exchange-Traded Funds

Leveraged Exchange-Traded Funds

Author: Tim Leung

Publisher: Springer

Published: 2016-02-24

Total Pages: 104

ISBN-13: 3319290940

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This book provides an analysis, under both discrete-time and continuous-time frameworks, on the price dynamics of leveraged exchange-traded funds (LETFs), with emphasis on the roles of leverage ratio, realized volatility, investment horizon, and tracking errors. This study provides new insights on the risks associated with LETFs. It also leads to the discussion of new risk management concepts, such as admissible leverage ratios and admissible risk horizon, as well as the mathematical and empirical analyses of several trading strategies, including static portfolios, pairs trading, and stop-loss strategies involving ETFs and LETFs. The final part of the book addresses the pricing of options written on LETFs. Since different LETFs are designed to track the same reference index, these funds and their associated options share very similar sources of randomness. The authors provide a no-arbitrage pricing approach that consistently value options on LETFs with different leverage ratios with stochastic volatility and jumps in the reference index. Their results are useful for market making of these options, and for identifying price discrepancies across the LETF options markets. As the market of leveraged exchange-traded products become a sizeable connected part of the financial market, it is crucial to better understand its feedback effect and broader market impact. This is important not only for individual and institutional investors, but also for regulators.


Online Portfolio Selection

Online Portfolio Selection

Author: Bin Li

Publisher: CRC Press

Published: 2018-10-30

Total Pages: 227

ISBN-13: 1482249642

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With the aim to sequentially determine optimal allocations across a set of assets, Online Portfolio Selection (OLPS) has significantly reshaped the financial investment landscape. Online Portfolio Selection: Principles and Algorithms supplies a comprehensive survey of existing OLPS principles and presents a collection of innovative strategies that leverage machine learning techniques for financial investment. The book presents four new algorithms based on machine learning techniques that were designed by the authors, as well as a new back-test system they developed for evaluating trading strategy effectiveness. The book uses simulations with real market data to illustrate the trading strategies in action and to provide readers with the confidence to deploy the strategies themselves. The book is presented in five sections that: Introduce OLPS and formulate OLPS as a sequential decision task Present key OLPS principles, including benchmarks, follow the winner, follow the loser, pattern matching, and meta-learning Detail four innovative OLPS algorithms based on cutting-edge machine learning techniques Provide a toolbox for evaluating the OLPS algorithms and present empirical studies comparing the proposed algorithms with the state of the art Investigate possible future directions Complete with a back-test system that uses historical data to evaluate the performance of trading strategies, as well as MATLAB® code for the back-test systems, this book is an ideal resource for graduate students in finance, computer science, and statistics. It is also suitable for researchers and engineers interested in computational investment. Readers are encouraged to visit the authors’ website for updates: http://olps.stevenhoi.org.


Optimal Mean Reversion Trading with Transaction Costs and Stop-Loss Exit

Optimal Mean Reversion Trading with Transaction Costs and Stop-Loss Exit

Author: Tim Leung

Publisher:

Published: 2015

Total Pages: 26

ISBN-13:

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Motivated by the industry practice of pairs trading, we study the optimal timing strategies for trading a mean-reverting price spread. An optimal double stopping problem is formulated to analyze the timing to start and subsequently liquidate the position subject to transaction costs. Modeling the price spread by an Ornstein-Uhlenbeck process, we apply a probabilistic methodology and rigorously derive the optimal price intervals for market entry and exit. As an extension, we incorporate a stop-loss constraint to limit the maximum loss. We show that the entry region is characterized by a bounded price interval that lies strictly above the stop-loss level. As for the exit timing, a higher stop-loss level always implies a lower optimal take-profit level. Both analytical and numerical results are provided to illustrate the dependence of timing strategies on model parameters such as transaction cost and stop-loss level.