Quantitative Portfolio Management

Quantitative Portfolio Management
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Описание книги

Discover foundational and advanced techniques in quantitative equity trading from a veteran insider  In  Quantitative Portfolio Management: The Art and Science of Statistical Arbitrage , distinguished physicist-turned-quant Dr. Michael Isichenko delivers a systematic review of the quantitative trading of equities, or statistical arbitrage. The book teaches you how to source financial data, learn patterns of asset returns from historical data, generate and combine multiple forecasts, manage risk, build a stock portfolio optimized for risk and trading costs, and execute trades.  In this important book, you’ll discover:  Machine learning methods of forecasting stock returns in efficient financial markets How to combine multiple forecasts into a single model by using secondary machine learning, dimensionality reduction, and other methods Ways of avoiding the pitfalls of overfitting and the curse of dimensionality, including topics of active research such as “benign overfitting” in machine learning The theoretical and practical aspects of portfolio construction, including multi-factor risk models, multi-period trading costs, and optimal leverage Perfect for investment professionals, like quantitative traders and portfolio managers,  Quantitative Portfolio Management  will also earn a place in the libraries of data scientists and students in a variety of statistical and quantitative disciplines. It is an indispensable guide for anyone who hopes to improve their understanding of how to apply data science, machine learning, and optimization to the stock market.

Оглавление

Michael Isichenko. Quantitative Portfolio Management

Table of Contents

Guide

Pages

Quantitative Portfolio Management. The art and science of statistical arbitrage

List of Figures

Code Listings

Preface

About this Book

Abstract

Acknowledgments

Introduction

Chapter 1 Market Data

1.1 Tick and bar data

1.2 Corporate actions and adjustment factor

1.3 Linear vs log returns

Chapter 2 Forecasting

2.1 Data for forecasts

2.1.1 Point-in-time and lookahead

2.1.2 Security master and survival bias

2.1.3 Fundamental and accounting data

2.1.4 Analyst estimates

2.1.5 Supply chain and competition

2.1.6 M&A and risk arbitrage

2.1.7 Event-based predictors

2.1.8 Holdings and flows

2.1.9 News and social media

2.1.10 Macroeconomic data

2.1.11 Alternative data

2.1.12 Alpha capture

2.2 Technical forecasts

2.2.1 Mean reversion

2.2.2 Momentum

2.2.3 Trading volume

2.2.4 Statistical predictors

2.2.5 Data from other asset classes

2.3 Basic concepts of statistical learning

2.3.1 Mutual information and Shannon entropy

2.3.2 Likelihood and Bayesian inference

2.3.3 Mean square error and correlation

2.3.4 Weighted law of large numbers

2.3.5 Bias-variance tradeoff

Listing 2.1 Bias-variance tradeoff for 100 OLS features. The output is in Fig. 2.3

2.3.6 PAC learnability, VC dimension, and generalization error bounds

2.4 Machine learning

2.4.1 Types of machine learning

2.4.2 Overfitting

2.4.3 Ordinary and generalized least squares

2.4.4 Deep learning

2.4.5 Types of neural networks

2.4.6 Nonparametric methods

2.4.7 Hyperparameters

2.4.8 Cross-validation

2.4.9 Convex regression

2.4.10 Curse of dimensionality, eigenvalue cleaning, and shrinkage

Listing 2.2 Generation of empirical and Marchenko-Pastur distributions of the eigenvalues of a pure-noise covariance matrix. The result is in Fig. 2.7

2.4.11 Smoothing and regularization

Listing 2.3 Local Linear Regression (LLR) solver based on Eqs. (2.74)-(2.75). The code is used for Fig. 2.9

Listing 2.4 GP regression over noisy data. The result is in Fig. 2.10

Listing 2.5 Lasso regression with varying penalty. The result is in Fig. 2.12

2.4.12 Generalization puzzle of deep and overparameterized learning

Listing 2.6 Double dip of generalization error. The result is in Fig. 2.13

2.4.13 Online machine learning

2.4.14 Boosting

2.4.15 Twicing

2.4.16 Randomized learning

2.4.17 Latent structure

2.4.18 No free lunch and AutoML

2.4.19 Computer power and machine learning

2.5 Dynamical modeling

2.6 Alternative reality

2.7 Timeliness-significance tradeoff

2.8 Grouping

2.9 Conditioning

2.10 Pairwise predictors

2.11 Forecast for securities from their linear combinations

2.12 Forecast research vs simulation

Chapter 3 Forecast Combining

3.1 Correlation and diversification

3.2 Portfolio combining

3.3 Mean-variance combination of forecasts

3.4 Combining features vs combining forecasts

3.5 Dimensionality reduction

3.5.1 PCA, PCR, CCA, ICA, LCA, and PLS

3.5.2 Clustering

3.5.3 Hierarchical combining

3.6 Synthetic security view

3.7 Collaborative filtering

3.8 Alpha pool management

3.8.1 Forecast development guidelines

3.8.2 Pnl attribution

Chapter 4 Risk

4.1 Value at risk and expected shortfall

4.2 Factor models

4.3 Types of risk factors

4.4 Return and risk decomposition

4.5 Weighted PCA

4.6 PCA transformation

4.7 Crowding and liquidation

4.8 Liquidity risk and short squeeze

4.9 Forecast uncertainty and alpha risk

Chapter 5 Trading Costs and Market Elasticity

5.1 Slippage

5.2 Impact

5.2.1 Empirical observations

5.2.2 Linear impact model

5.2.3 Instantaneous impact cost model

5.2.4 Impact arbitrage

5.3 Cost of carry

5.4 Market-wide impact and elasticity

Chapter 6 Portfolio Construction

6.1 Hedged allocation

6.2 Forecast from rule-based strategy

6.3 Single-period vs multi-period mean-variance utility

6.4 Single-name multi-period optimization

6.4.1 Optimization with fast impact decay

6.4.2 Optimization with exponentially decaying impact

6.4.3 Optimization conditional on a future position

6.4.4 Position value and utility leak

6.4.5 Optimization with slippage

6.5 Multi-period portfolio optimization

6.5.1 Unconstrained portfolio optimization with linear impact costs

6.5.2 Iterative handling of factor risk

6.5.3 Optimizing future EMA positions

6.5.4 Portfolio optimization using utility leak rate

6.5.5 Notes on portfolio optimization with slippage

6.6 Portfolio capacity

6.7 Portfolio optimization with forecast revision

6.8 Portfolio optimization with forecast uncertainty

6.9 Kelly criterion and optimal leverage

6.10 Intraday optimization and execution

6.10.1 Trade curve

6.10.2 Forecast-timed execution

6.10.3 Algorithmic trading and HFT

6.10.4 HFT controversy

Chapter 7 Simulation

7.1 Simulation vs production

7.2 Simulation and overfitting

7.3 Research and simulation efficiency

7.4 Paper trading

7.5 Bugs

Listing 7.1 Examples of helpful C++ macros

Listing 7.2 Bilingual C++/Python file generating repetitive C++ code

Afterword: Economic and Social Aspects of Quant Trading

Appendix

A1 Secmaster mappings

A2 Woodbury matrix identities

A3 Toeplitz matrix

Index

Question Index

Quotes Index

Stories Index

WILEY END USER LICENSE AGREEMENT

Отрывок из книги

Michael Isichenko

The quant trading business, especially its alpha part, tends to be fairly secretive, but the traffic of portfolio managers and analysts between quant shops has created a body of common knowledge, some of which has been published in the literature. The book is an attempt to cover parts of this knowledge, as well as to add a few ideas developed by the author in his own free time. I appreciate the concern of some of the more advanced colleagues of mine about letting the tricks of the trade “out in the wild.” Those tricks, such as machine learning and optimization algorithms, are mostly in the public domain already but are spread over multiple fields. In addition to academic research, Wall Street can learn a lot from Silicon Valley, whose inhabitants have generated a tremendous and less secretive body of knowledge. Using an analogy with cryptography, sec urity through obscurity is a popular approach in quantitative trading, but it gradually gives way to security by design ultimately rooted in the increasingly difficult forecasting of future asset prices, the holy skill and grail of quantitative portfolio management. The rest of the quant trading process, while not exactly trivial in scope, is within the reach of a reasonably trained scientist, this author included, who is willing and able to read Wikipedia,1 and learn better coding.

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and formula (1.3) follows.3

Some quant shops have used a similar reinvestment logic of buying shares of stock at the new closing price resulting in a somewhat simpler day adjustment factor,

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