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Optimal Mean Reversion Trading

Author: Tim Leung (Professor of industrial engineering)

Publisher: World Scientific

Published: 2015-11-26

Total Pages: 221

ISBN-13: 9814725927

"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

Author: Tim Leung

Publisher: World Scientific

Published: 2015-11-26

Total Pages: 220

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. Contents:IntroductionTrading Under Ornstein–Uhlenbeck ModelTrading Under the Exponential OU ModelTrading Under CIR ModelFutures Under Mean ReversionOptions Liquidation of OptionsTrading Credit Derivatives Readership: Doctoral and master''s students, advanced undergraduates, practitioners, and researchers in financial engineering, with a particular interest or specialization in algorithmic trading (especially pairs trading) and ETFs, futures, commodities, volatility derivatives and credit risk. Key Features:Contains both an analysis of trading strategies and methods and means of practical implementationApproaches the topic using a balanced approach of rigorous analysis and real-world examples taken from a variety of market sectors such as fixed income funds, commodities, index/volatility futures, and optionsIncludes detailed analysis of ETF-based pairs trading strategies, and other mean reversion strategiesExplains issues involved in the day-to-day life of traders, going beyond the mathematics of tradingProvides mathematical justification and quantitative enhancement for certain intuitive trading strategies that can be used by practitionersKeywords:Trading Strategies;Mean Reversion;Optimal Stopping;Optimal Switching;Stop-Loss;Stochastic Processes;Exchange-Traded Funds (ETFS);Ornstein–Uhlenbeck Model;Cox-Ingersoll-Ross (CIR) Model'

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.

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.

Online Portfolio Selection

Author: Bin Li

Publisher: CRC Press

Published: 2018-10-30

Total Pages: 212

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.

Get Rich With Options

Author: Lee Lowell

Publisher: John Wiley & Sons

Published: 2007-05-23

Total Pages: 242

ISBN-13: 0470126817

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In order to survive and thrive in today's financial markets, you must seriously consider the use of options in your investment endeavors. Options allow you to reap the same benefits as an outright stock or commodity trade, but with less risk and less money on the line. The truth is, you can achieve everything with options that you would with stocks or commodities?at less cost?while gaining a much higher percentage return on your invested dollars. After numerous years as a market maker in the trenches of the New York Mercantile Exchange, few analysts know how to make money trading options like author Lee Lowell. In this well-rounded resource, Lowell shows both stock and commodity option traders exactly what works and what doesn't. Filled with in-depth insight and expert advice, Get Rich with Options provides you with the knowledge and strategies needed to achieve optimal results within the options market. The book quickly covers the basics?how options are priced, strike price selection, the use of Delta, and using volatility to one's advantage?before moving on to the four options trading strategies that have helped Lowell profit in this arena time and again: buying deep-in-the-money call options, selling naked puts, selling option credit spreads, and selling covered calls. Using these strategoes decisively, he says, is the fastest route to riches in the options trading game. Get Rich with Options is packed with real-life examples of actual trades and detailed discussions of how options can be used as a hedging, speculating, or income-producing tool. You'll learn how to set up a home business with the best options trading software, tools, and Web sites. And you'll begin to see options in a whole new light and discover how to become part of a small group of investors who consistently win.

A Machine Learning based Pairs Trading Investment Strategy

Author: Simão Moraes Sarmento

Publisher: Springer Nature

Published: 2020-07-13

Total Pages: 108

ISBN-13: 3030472515

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This book investigates the application of promising machine learning techniques to address two problems: (i) how to find profitable pairs while constraining the search space and (ii) how to avoid long decline periods due to prolonged divergent pairs. It also proposes the integration of an unsupervised learning algorithm, OPTICS, to handle problem (i), and demonstrates that the suggested technique can outperform the common pairs search methods, achieving an average portfolio Sharpe ratio of 3.79, in comparison to 3.58 and 2.59 obtained using standard approaches. For problem (ii), the authors introduce a forecasting-based trading model capable of reducing the periods of portfolio decline by 75%. However, this comes at the expense of decreasing overall profitability. The authors also test the proposed strategy using an ARMA model, an LSTM and an LSTM encoder-decoder.

Quantitative Trading

Author: Ernie Chan

Publisher: Wiley

Published: 2008-11-17

Total Pages: 0

ISBN-13: 9780470284889

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While institutional traders continue to implement quantitative (or algorithmic) trading, many independent traders have wondered if they can still challenge powerful industry professionals at their own game? The answer is "yes," and in Quantitative Trading, Dr. Ernest Chan, a respected independent trader and consultant, will show you how. Whether you're an independent "retail" trader looking to start your own quantitative trading business or an individual who aspires to work as a quantitative trader at a major financial institution, this practical guide contains the information you need to succeed.

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.

Leveraged Exchange-Traded Funds

Author: Tim Leung

Publisher: Springer

Published: 2016-02-24

Total Pages: 97

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.