
Statistical Arbitrage Algorithmic Trading Insights and Techniques
by Pole, Andrew-
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Summary
Author Biography
Andrew Pole is a Managing Director at TIG Advisors, LLC, a registered investment advisor in New York. He specializes in quantitative trading strategies and risk management. This book is the result of his own research and experience running a statistical arbitrage hedge fund for eight years. Pole is also the coauthor of Applied Bayesian Forecasting and Time Series Analysis.
Table of Contents
Preface | p. xiii |
Foreword | p. xix |
Acknowledgments | p. xxiii |
Monte Carlo or Bust | p. 1 |
Beginning | p. 1 |
Whither? And Allusions | p. 4 |
Statistical Arbitrage | p. 9 |
Introduction | p. 9 |
Noise Models | p. 10 |
Reverse Bets | p. 11 |
Multiple Bets | p. 11 |
Rule Calibration | p. 12 |
Spread Margins for Trade Rules | p. 16 |
Popcorn Process | p. 18 |
Identifying Pairs | p. 20 |
Refining Pair Selection | p. 21 |
Event Analysis | p. 22 |
Correlation Search in the Twenty-First Century | p. 26 |
Portfolio Configuration and Risk Control | p. 26 |
Exposure to Market Factors | p. 29 |
Market Impact | p. 30 |
Risk Control Using Event Correlations | p. 31 |
Dynamics and Calibration | p. 32 |
Evolutionary Operation: Single Parameter Illustration | p. 34 |
Structural Models | p. 37 |
Introduction | p. 37 |
Formal Forecast Functions | p. 39 |
Exponentially Weighted Moving Average | p. 40 |
Classical Time Series Models | p. 47 |
Autoregression and Cointegration | p. 47 |
Dynamic Linear Model | p. 49 |
Volatility Modeling | p. 50 |
Pattern Finding Techniques | p. 51 |
Fractal Analysis | p. 52 |
Which Return? | p. 52 |
A Factor Model | p. 53 |
Factor Analysis | p. 54 |
Defactored Returns | p. 55 |
Prediction Model | p. 57 |
Stochastic Resonance | p. 58 |
Practical Matters | p. 59 |
Doubling: A Deeper Perspective | p. 61 |
Factor Analysis Primer | p. 63 |
Prediction Model for Defactored Returns | p. 65 |
Law of Reversion | p. 67 |
Introduction | p. 67 |
Model and Result | p. 68 |
The 75 percent Rule | p. 68 |
Proof of the 75 percent Rule | p. 69 |
Analytic Proof of the 75 percent Rule | p. 71 |
Discrete Counter | p. 73 |
Generalizations | p. 73 |
Inhomogeneous Variances | p. 74 |
Volatility Bursts | p. 75 |
Numerical Illustration | p. 76 |
First-Order Serial Correlation | p. 77 |
Analytic Proof | p. 79 |
Examples | p. 82 |
Nonconstant Distributions | p. 82 |
Applicability of the Result | p. 84 |
Application to U.S. Bond Futures | p. 85 |
Summary | p. 87 |
Looking Several Days Ahead | p. 87 |
Gauss Is Not the God of Reversion | p. 91 |
Introduction | p. 91 |
Camels and Dromedaries | p. 92 |
Dry River Flow | p. 95 |
Some Bells Clang | p. 98 |
Interstock Volatility | p. 99 |
Introduction | p. 99 |
Theoretical Explanation | p. 103 |
Theory versus Practice | p. 105 |
Finish the Theory | p. 105 |
Finish the Examples | p. 106 |
Primer on Measuring Spread Volatility | p. 108 |
Quantifying Reversion Opportunities | p. 113 |
Introduction | p. 113 |
Reversion in a Stationary Random Process | p. 114 |
Frequency of Reversionary Moves | p. 117 |
Amount of Reversion | p. 118 |
Movements from Quantiles Other Than the Median | p. 135 |
Nonstationary Processes: Inhomogeneous Variance | p. 136 |
Sequentially Structured Variances | p. 136 |
Sequentially Unstructured Variances | p. 137 |
Serial Correlation | p. 138 |
Details of the Lognormal Case in Example 6 | p. 139 |
Nobel Difficulties | p. 141 |
Introduction | p. 141 |
Event Risk | p. 142 |
Will Narrowing Spreads Guarantee Profits? | p. 144 |
Rise of a New Risk Factor | p. 145 |
Redemption Tension | p. 148 |
Supercharged Destruction | p. 150 |
The Story of Regulation Fair Disclosure (FD) | p. 150 |
Correlation During Loss Episodes | p. 151 |
Trinity Troubles | p. 155 |
Introduction | p. 155 |
Decimalization | p. 156 |
European Experience | p. 157 |
Advocating the Devil | p. 158 |
Stat. Arb. Arbed Away | p. 159 |
Competition | p. 160 |
Institutional Investors | p. 163 |
Volatility Is the Key | p. 163 |
Interest Rates and Volatility | p. 165 |
Temporal Considerations | p. 166 |
Truth in Fiction | p. 174 |
A Litany of Bad Behavior | p. 174 |
A Perspective on 2003 | p. 178 |
Realities of Structural Change | p. 179 |
Recap | p. 180 |
Arise Black Boxes | p. 183 |
Introduction | p. 183 |
Modeling Expected Transaction Volume and Market Impact | p. 185 |
Dynamic Updating | p. 188 |
More Black Boxes | p. 189 |
Market Deflation | p. 189 |
Statistical Arbitrage Rising | p. 191 |
Catastrophe Process | p. 194 |
Catastrophic Forecasts | p. 198 |
Trend Change Identification | p. 200 |
Using the Cuscore to Identify a Catastrophe | p. 202 |
Is It Over? | p. 204 |
Catastrophe Theoretic Interpretation | p. 205 |
Implications for Risk Management | p. 209 |
Sign Off | p. 211 |
Understanding the Cuscore | p. 211 |
Bibliography | p. 223 |
Index | p. 225 |
Table of Contents provided by Ingram. All Rights Reserved. |
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