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Optimal Mean Reversion Trading

Author : Tim Leung (Professor of industrial engineering)

Publisher : World Scientific

Page : 221 pages

File Size : 35,53 MB

Release : 2015-11-26

Category : Business & Economics

ISBN : 9814725927

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Book Description

"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

Author : Tim Siu-tang Leung

Publisher : World Scientific

Page : 221 pages

File Size : 27,84 MB

Release : 2015-11-26

Category : Business & Economics

ISBN : 9814725935

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Book Description

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.



Pairs Trading

Author : Ganapathy Vidyamurthy

Publisher : John Wiley & Sons

Page : 295 pages

File Size : 17,73 MB

Release : 2011-02-02

Category : Business & Economics

ISBN : 111804570X

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Book Description

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.



Option Spread Trading

Author : Russell Rhoads

Publisher : John Wiley & Sons

Page : 294 pages

File Size : 39,43 MB

Release : 2011-01-11

Category : Business & Economics

ISBN : 0470618981

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Book Description

A practical guide to unlocking the power of option spreads When dealing with option spreads your looking to purchase one option in conjunction with the sale of another option. If managed properly, these spreads can provide experienced investors with the potential for large returns without undertaking a great deal of risk. Option Spread Trading provides a comprehensive, yet easy-to-understand explanation of option spreads, and shows you how to select the best spread strategy for any given market outlook. Along the way, author Russell Rhoads discusses spread strategies that can be used to profit from a strong up or down directional move in a stock, a stagnant market, or a highly volatile market. He also details how you can harness the leverage of options to create a low-risk position that provides the potential for a big profit. All manner of spreads are covered, from calendar and horizontal spreads to vertical and diagonal spreads Highlights how you can monitor and adjust an existing spread position and provides tips on how to exit a spread trade Includes exercises and examples to test and reinforce your knowledge of the concepts presented Option spread trading has become increasingly popular with active traders and investors. Gain a better understanding of this powerful approach with Option Spread Trading as your guide.



A Machine Learning based Pairs Trading Investment Strategy

Author : Simão Moraes Sarmento

Publisher : Springer Nature

Page : 108 pages

File Size : 23,30 MB

Release : 2020-07-13

Category : Technology & Engineering

ISBN : 3030472515

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Book Description

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.



Multiscale Stochastic Volatility for Equity, Interest Rate, and Credit Derivatives

Author : Jean-Pierre Fouque

Publisher : Cambridge University Press

Page : 456 pages

File Size : 16,55 MB

Release : 2011-09-29

Category : Mathematics

ISBN : 113950245X

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Book Description

Building upon the ideas introduced in their previous book, Derivatives in Financial Markets with Stochastic Volatility, the authors study the pricing and hedging of financial derivatives under stochastic volatility in equity, interest-rate, and credit markets. They present and analyze multiscale stochastic volatility models and asymptotic approximations. These can be used in equity markets, for instance, to link the prices of path-dependent exotic instruments to market implied volatilities. The methods are also used for interest rate and credit derivatives. Other applications considered include variance-reduction techniques, portfolio optimization, forward-looking estimation of CAPM 'beta', and the Heston model and generalizations of it. 'Off-the-shelf' formulas and calibration tools are provided to ease the transition for practitioners who adopt this new method. The attention to detail and explicit presentation make this also an excellent text for a graduate course in financial and applied mathematics.



Algorithmic and High-Frequency Trading

Author : Álvaro Cartea

Publisher : Cambridge University Press

Page : 360 pages

File Size : 47,98 MB

Release : 2015-08-06

Category : Mathematics

ISBN : 1316453650

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Book Description

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.



Optimal Stopping and Free-Boundary Problems

Author : Goran Peskir

Publisher : Springer Science & Business Media

Page : 515 pages

File Size : 20,11 MB

Release : 2006-11-10

Category : Mathematics

ISBN : 3764373903

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Book Description

This book discloses a fascinating connection between optimal stopping problems in probability and free-boundary problems. It focuses on key examples and the theory of optimal stopping is exposed at its basic principles in discrete and continuous time covering martingale and Markovian methods. Methods of solution explained range from change of time, space, and measure, to more recent ones such as local time-space calculus and nonlinear integral equations. A chapter on stochastic processes makes the material more accessible. The book will appeal to those wishing to master stochastic calculus via fundamental examples. Areas of application include financial mathematics, financial engineering, and mathematical statistics.



Statistical Arbitrage

Author : Andrew Pole

Publisher : John Wiley & Sons

Page : 230 pages

File Size : 14,72 MB

Release : 2011-07-07

Category : Business & Economics

ISBN : 1118160738

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Book Description

While statistical arbitrage has faced some tough times?as markets experienced dramatic changes in dynamics beginning in 2000?new developments in algorithmic trading have allowed it to rise from the ashes of that fire. Based on the results of author Andrew Pole?s own research and experience running a statistical arbitrage hedge fund for eight years?in partnership with a group whose own history stretches back to the dawn of what was first called pairs trading?this unique guide provides detailed insights into the nuances of a proven investment strategy. Filled with in-depth insights and expert advice, Statistical Arbitrage contains comprehensive analysis that will appeal to both investors looking for an overview of this discipline, as well as quants looking for critical insights into modeling, risk management, and implementation of the strategy.



Algorithmic Trading

Author : Ernie Chan

Publisher : John Wiley & Sons

Page : 230 pages

File Size : 23,85 MB

Release : 2013-05-28

Category : Business & Economics

ISBN : 1118460146

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Book Description

Praise for Algorithmic TRADING “Algorithmic Trading is an insightful book on quantitative trading written by a seasoned practitioner. What sets this book apart from many others in the space is the emphasis on real examples as opposed to just theory. Concepts are not only described, they are brought to life with actual trading strategies, which give the reader insight into how and why each strategy was developed, how it was implemented, and even how it was coded. This book is a valuable resource for anyone looking to create their own systematic trading strategies and those involved in manager selection, where the knowledge contained in this book will lead to a more informed and nuanced conversation with managers.” —DAREN SMITH, CFA, CAIA, FSA, Managing Director, Manager Selection & Portfolio Construction, University of Toronto Asset Management “Using an excellent selection of mean reversion and momentum strategies, Ernie explains the rationale behind each one, shows how to test it, how to improve it, and discusses implementation issues. His book is a careful, detailed exposition of the scientific method applied to strategy development. For serious retail traders, I know of no other book that provides this range of examples and level of detail. His discussions of how regime changes affect strategies, and of risk management, are invaluable bonuses.” —ROGER HUNTER, Mathematician and Algorithmic Trader