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Chapter 1 For Whom? Why? And How? 1
1.1 What You Will Find Here 2 1.2 Asterisks; Or, How to Read This Book 3 1.3 Acknowledgments 3 Chapter 2 The Problem: From Ideas to Profit 5 2.1 How to Invest in Your Edge, and Hedge the Rest 7 2.2 How to Size Your Positions 8 2.3 How to Learn from Your History 8 2.4 How to Trade Efficiently 9 2.5 How to Limit Factor Risk 9 2.6 How to Control Maximum Losses 10 2.7 How to Determine Your Leverage 10 2.8 How to Analyze New Sources of Data 10 Chapter 3 A Tour of Risk and Performance 11 3.1 Introduction 12 3.2 Alpha and Beta 14 3.3 Where Does Alpha Come From? 15 3.4 Estimate Risk in Advance 18 3.4.1 What Is Risk? 18 3.4.2 Measuring Risk and Performance 20 3.5 First Steps in Risk Decomposition 25 3.6 Simple Hedging 26 3.7 Separation of Concerns 28 3.8 Takeaway Messages 29 Chapter 4 An Introduction to Multi-Factor Models 30 4.1 From One Factor to Many 31 4.2 * Frequently Asked Questions About Risk 35 4.3 * The Machinery of Risk Models 40 4.4 Takeaway Messages 43 Chapter 5 Understand Factors 44 5.1 The Economic Environment 47 5.1.1 Country 47 5.1.2 Industries 48 5.1.3 Beta 50 5.1.4 Volatility 54 5.2 The Trading Environment 56 5.2.1 Short Interest 56 5.2.2 Active Manager Holdings (AMH) 58 5.2.3 Momentum 60 5.3 The Company: Valuation Factors 66 5.3.1 Value 66 5.2 Takeaway Messages 71 Chapter 6 Use Effective Heuristics for Alpha Sizing 72 6.1 Sharpe Ratio 74 6.2 Estimating Expected Returns 76 6.3 Risk-Based Sizing 79 6.4 * Empirical Analysis of the Sizing Rules 81 6.5 From Ideas to Positions 88 6.6 Time-Series Risk-Based Portfolio Targeting 89 6.7 * Frequently Asked Questions About Performance 95 6.8 Takeaway Messages 96 Chapter 7 Manage Factor Risk 98 7.1 Tactical Factor Risk Management 99 7.1.1 Optimize If You Must 104 7.2 Strategic Factor Risk Management 107 7.2.1 Setting an Upper Limit on Factor Risk 107 7.2.2 Setting a Limit on Market Exposure 111 7.2.3 Setting an Upper Limit on Single-Stock Holdings 113 7.2.4 Setting an Upper Limit on Single-Factor Exposures 116 7.3 Systematic Hedging and Portfolio Management 118 7.4 Takeaway Messages 121 Chapter 8 Understand Your Performance 123 8.1 Factor 124 8.1.1 Performance Attribution 124 8.2 Idiosyncratic 127 8.2.1 Selection, Sizing, Timing 128 8.2.2 The Relationship Between Performance and Diversification 136 8.3 Trade Events Efficiently 139 8.4 * Use Alternative Data! 142 8.5 * Frequently Asked Questions About Performance 146 8.6 Takeaway Messages 148 Chapter 9 Manage Your Losses 149 9.1 How Stop-Loss Works 150 9.2 Why a Stop-Loss Policy? 151 9.3 The Costs and Benefits of Stop-Loss 154 9.4 Takeaway Messages 158 Chapter 10 * Set Your Leverage Ratio for a Sustainable Business 160 10.1 A Framework for Leverage Decisions 162 10.2 Takeaway Messages 166 Chapter 11 * * Appendix 168 11.1 Essential Risk Model Formulas 168 11.1.1 Factor Model 168 11.1.2 Factor-Mimicking Portfolios 169 11.1.3 Percentage Idio Variance 170 11.1.4 Betas 170 11.1.5 Marginal Contribution to Factor Risk 170 11.2 Diversification 171 11.3 Mean-Variance Formulations 172 11.3.1 Mean-Variance Portfolios 172 11.3.2 A Robust Mean-Variance Formulation 173 11.4 Proportional-Rule Formulations 174 11.5 Generating Custom Factors 175 11.5.1 Interpretation and Use 179 11.6 Optimization Formulations 179 11.6.1 Equal-Sized Portfolio with Constraints on Participation Rate 179 11.7 Tactical Portfolio Optimization 180 11.7.1 Variants 182 11.8 Hedging Formulations 182 11.9 Optimal Event Trading 186 References 191 Index 197 |
Giuseppe A. Paleologo
GIUSEPPE PALEOLOGO is the Head of Risk Management at Hudson River Trading. He has also held senior positions at Millennium, Citadel, Axioma, and IBM Research. He was formerly a mathematical researcher at Stanford and an instructor in the master’s program in Financial Engineering at Cornell University.