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Pairs Trading by Ganapathy Vidyamurthy
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Pairs Trading [Hardback]

Quantitative Methods and Analysis

by Ganapathy Vidyamurthy
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Description of Pairs Trading

Comprised of three information–packed parts, Pairs Trading presents an in–depth look at the various aspects of these strategies and provides quantitative tools to assist in their analysis. The first part of this comprehensive resource sets the context for the rest of the book by introducing preliminary material on some key topics, including time series, factor models, and Kalman filtering.

After presenting the broad ideas and concepts of this trading method, Pairs Trading delves into two different versions of pairs trading in the equity markets–statistical arbitrage pairs trading and risk arbitrage. Part II of this book details statistical arbitrage pairs trading, which is a relative value arbitrage on two securities based on the premise that there is a long–run equilibrium between the prices of the stocks comprising the pair. Part III moves on to illustrate the trading techniques and strategies associated with risk arbitrage–the widely practiced arbitrage technique that involves pairs trading arising in the context of corporate events, especially mergers and acquisitions.

Written in a straightforward and accessible style, Pairs Trading provides a framework that will allow you to boost the bottom line of any portfolio.

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Title Information

ISBN:
9780471460671
Pages:
224 pages
Format:
Hardback
Product Code:
20709
Publisher:
John Wiley & Sons Ltd
Published:
10/09/2004
Edition:
1st Edition

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About Ganapathy Vidyamurthy

Ganapathy Vidyamurthy has been working in the financial markets for nearly a decade. During this time, he created the entire risk management software infrastructure for RBC Dominion Securities in New York, and built valuation models and automated execution strategies for UBS Warburg and JP Morgan Fleming. He is currently the principal of Himalaya Consulting. Beyond finance, Mr. Vidyamurthy’s interests range from discrete optimization to algorithmic music composition–a field in which he is often cited. Mr. Vidyamurthy has a master’s degree in electrical communication engineering from the Indian Institute of Science and a master’s degree from the Courant Institute of Mathematical Sciences of New York University.

Contents of Pairs Trading

Preface
Acknowledgments

PART ONE: Background Material

1. Introduction
The CAPM Model
Market Neutral Strategy
Pairs Trading
Outline
Audience

2. Time Series
Overview
Autocorrelation
Time Series Models
Forecasting
Goodness of Fit versus Bias
Model Choice
Modeling Stock Prices

3. Factor Models
Introduction
Arbitrage Pricing Theory
The Covariance Matrix
Application: Calculating the Risk on a Portfolio
Application: Calculation of Portfolio Beta
Application: Tracking Basket Design
Sensitivity Analysis

4. Kalman Filtering
Introduction
The Kalman Filter
The Scalar Kalman Filter
Filtering the Random Walk
Application: Example with the Standard & Poor Index


PART TWO: Statistical Arbitrage Pairs

5. Overview
History
Motivation
Cointegration
Applying the Model
A Trading Strategy
Road Map for Strategy Design

6. Pairs Selection in Equity Markets
Introduction
Common Trends Cointegration Model
Common Trends Model and APT
The Distance Measure
Interpreting the Distance Measure
Reconciling Theory and Practice

7. Testing for Tradability
Introduction
The Linear Relationship
Estimating the Linear Relationship: The Multifactor Approach
Estimating the Linear Relationship: The Regression Approach
Testing Residual for Tradability

8. Trading Design
Introduction
Band Design for White Noise
Spread Dynamics
Nonparametric Approach
Regularization
Tying Up Loose Ends


PART THREE: Risk Arbitrage Pairs

9. Risk Arbitrage Mechanics
Introduction
History
The Deal Process
Transaction Terms
The Deal Spread
Trading Strategy
Quantitative Aspects

10. Trade Execution
Introduction
Specifying the Order
Verifying the Execution
Execution During the Pricing Period
Short Selling

11. The Market Implied Merger Probability
Introduction
Implied Probabilities and Arrow-Debreu Theory
The Single-Step Model
The Multistep Model
Reconciling Theory and Practice
Risk Management

12. Spread Inversion
Introduction
The Prediction Equation
The Observation Equation
Applying the Kalman Filter
Model Selection
Applications to Trading

Index


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