logo资料库

Econometrics of Financial High-Frequency Data..pdf

第1页 / 共378页
第2页 / 共378页
第3页 / 共378页
第4页 / 共378页
第5页 / 共378页
第6页 / 共378页
第7页 / 共378页
第8页 / 共378页
资料共378页,剩余部分请下载后查看
000
front-matter
Econometrics of Financial High-Frequency Data
Preface
Contents
001
Chapter 1: Introduction
1.1 Motivation
1.2 Structure of the Book
References
002
Chapter 2: Microstructure Foundations
2.1 The Institutional Framework of Trading
2.1.1 Types of Traders and Forms of Trading
2.1.2 Types of Orders
2.1.3 Market Structures
2.1.3.1 Quote-Driven Dealer Markets
2.1.3.2 Order-Driven Markets
2.1.3.3 Brokered Markets
2.1.4 Order Precedence and Pricing Rules
2.1.5 Trading Forms at Selected International Exchanges
2.1.5.1 The New York Stock Exchange (NYSE)
2.1.5.2 NASDAQ
2.1.5.3 XETRA
2.1.5.4 Australian Stock Exchange
2.2 A Review of Market Microstructure Theory
2.2.1 Asymmetric Information Based Models
2.2.1.1 Sequential Trade Models
2.2.1.2 Strategic Trade Models
2.2.2 Inventory Models
2.2.3 Major Implications for Trading Variables
2.2.4 Models for Limit Order Book Markets
References
003
Chapter 3: Empirical Properties of High-Frequency Data
3.1 Handling High-Frequency Data
3.1.1 Databases and Trading Variables
3.1.2 Matching Trades and Quotes
3.1.3 Data Cleaning
3.1.4 Split-Transactions
3.1.5 Identification of Buyer- and Seller-Initiated Trades
3.2 Aggregation by Trading Events: Financial Durations
3.2.1 Trade and Order Arrival Durations
3.2.2 Price and Volume Durations
3.3 Properties of Financial Durations
3.4 Properties of Trading Characteristics
3.5 Properties of Time Aggregated Data
3.6 Summary of Major Empirical Findings
References
004
Chapter 4: Financial Point Processes
4.1 Basic Concepts of Point Processes
4.1.1 Fundamental Definitions
4.1.1.1 Point Processes
4.1.1.2 Counting Processes
4.1.1.3 Durations and Backward Recurrence Times
4.1.1.4 Filtrations and (Time-Varying) Covariates
4.1.2 Compensators and Intensities
4.1.3 The Homogeneous Poisson Process
4.1.4 Generalizations of Poisson Processes
4.1.5 A Random Time Change Argument
4.1.6 Intensity-Based Inference
4.1.7 Simulation and Diagnostics
4.2 Four Ways to Model Point Processes
4.2.1 Intensity Models
4.2.2 Hazard Models
4.2.2.1 Proportional Hazard (PH) Models
4.2.2.2 Accelerated Failure Time Models
4.2.3 Duration Models
4.2.4 Count Data Models
4.3 Censoring and Time-Varying Covariates
4.3.1 Censoring
4.3.2 Time-Varying Covariates
4.4 An Outlook on Dynamic Extensions
References
005
Chapter 5: Univariate Multiplicative Error Models
5.1 ARMA Models for Log Variables
5.2 A MEM for Durations: The ACD Model
5.3 Estimation of the ACD Model
5.3.1 QML Estimation
5.3.2 ML Estimation
5.4 Seasonalities and Explanatory Variables
5.5 The Log-ACD Model
5.6 Testing the ACD Model
5.6.1 Portmanteau Tests
5.6.2 Independence Tests
5.6.3 Distribution Tests
5.6.4 Lagrange Multiplier Tests
5.6.5 Conditional Moment Tests
5.6.5.1 Adapting Newey's Conditional Moment Test
5.6.5.2 Integrated Conditional Moment Tests
5.6.6 Monte Carlo Evidence
References
006
Chapter 6: Generalized Multiplicative Error Models
6.1 A Class of Augmented ACD Models
6.1.1 Special Cases
6.1.1.1 Additive and Multiplicative ACD (AMACD) Model
6.1.1.2 Box–Cox ACD (BACD) Model
6.1.1.3 EXponential ACD (EXACD) Model
6.1.1.4 Augmented Box–Cox ACD (ABACD) Model
6.1.1.5 Hentschel ACD (HACD) Model
6.1.1.6 Augmented Hentschel ACD (AHACD) Model
6.1.1.7 Spline News Impact ACD (SNIACD) Model
6.1.2 Theoretical Properties
6.1.3 Empirical Illustrations
6.2 Regime-Switching ACD Models
6.2.1 Threshold ACD Models
6.2.2 Smooth Transition ACD Models
6.2.3 Markov Switching ACD Models
6.3 Long Memory ACD Models
6.4 Mixture and Component Multiplicative Error Models
6.4.1 The Stochastic Conditional Duration Model
6.4.2 Stochastic Multiplicative Error Models
6.4.3 Component Multiplicative Error Models
6.5 Further Generalizations of Multiplicative Error Models
6.5.1 Competing Risks ACD Models
6.5.2 Semiparametric ACD Models
6.5.3 Stochastic Volatility Duration Models
References
007
Chapter 7: Vector Multiplicative Error Models
7.1 VMEM Processes
7.1.1 The Basic VMEM Specification
7.1.2 Statistical Inference
7.1.3 Applications
7.2 Stochastic Vector Multiplicative Error Models
7.2.1 Stochastic VMEM Processes
7.2.2 Simulation-Based Inference
7.2.3 Modelling Trading Processes
References
008
Chapter 8: Modelling High-Frequency Volatility
8.1 Intraday Quadratic Variation Measures
8.1.1 Maximum Likelihood Estimation
8.1.2 The Realized Kernel Estimator
8.1.3 The Pre-averaging Estimator
8.1.4 Empirical Evidence
8.1.5 Modelling and Forecasting Intraday Variances
8.2 Spot Variances and Jumps
8.3 Trade-Based Volatility Measures
8.4 Volatility Measurement Using Price Durations
8.5 Modelling Quote Volatility
References
009
Chapter 9: Estimating Market Liquidity
9.1 Simple Spread and Price Impact Measures
9.1.1 Spread Measures
9.1.2 Price Impact Measures
9.2 Volume Based Measures
9.2.1 The VNET Measure
9.2.2 Excess Volume Measures
9.2.2.1 Determinants of Excess Volume Durations
9.2.2.2 Measuring Realized Market Depth
9.3 Modelling Order Book Depth
9.3.1 A Cointegrated VAR Model for Quotes and Depth
9.3.2 A Dynamic Nelson–Siegel Type Order Book Model
9.3.3 A Semiparametric Dynamic Factor Model
References
010
Chapter 10: Semiparametric Dynamic Proportional Hazard Models
10.1 Dynamic Integrated Hazard Processes
10.2 The Semiparametric ACPH Model
10.3 Properties of the Semiparametric ACPH Model
10.3.1 Autocorrelation Structure
10.3.2 Estimation Quality
10.4 Extended SACPH Models
10.4.1 Regime-Switching Baseline Hazard Functions
10.4.2 Censoring
10.4.3 Unobserved Heterogeneity
10.5 Testing the SACPH Model
10.6 Estimating Volatility Using the SACPH Model
10.6.1 Data and the Generation of Price Events
10.6.2 Empirical Findings
References
011
Chapter 11: Univariate Dynamic Intensity Models
11.1 The Autoregressive Conditional Intensity Model
11.2 Generalized ACI Models
11.2.1 Long-Memory ACI Models
11.2.2 An AFT-Type ACI Model
11.2.3 A Component ACI Model
11.2.4 Empirical Application
11.3 Hawkes Processes
References
012
Chapter 12: Multivariate Dynamic Intensity Models
12.1 Multivariate ACI Models
12.2 Applications of Multivariate ACI Models
12.2.1 Estimating Simultaneous Buy/Sell Intensities
12.2.2 Modelling Order Aggressiveness
12.3 Multivariate Hawkes Processes
12.3.1 Statistical Properties
12.3.2 Estimating Multivariate Price Intensities
12.4 Stochastic Conditional Intensity Processes
12.4.1 Model Structure
12.4.2 Probabilistic Properties of the SCI Model
12.4.3 Statistical Inference
12.5 SCI Modelling of Multivariate Price Intensities
References
013
Chapter 13: Autoregressive Discrete Processes and Quote Dynamics
13.1 Univariate Dynamic Count Data Models
13.1.1 Autoregressive Conditional Poisson Models
13.1.2 Extended ACP Models
13.1.3 Empirical Illustrations
13.2 Multivariate ACP Models
13.3 A Simple Model for Transaction Price Dynamics
13.4 Autoregressive Conditional Multinomial Models
13.5 Autoregressive Models for Integer-Valued Variables
13.6 Modelling Ask and Bid Quote Dynamics
13.6.1 Cointegration Models for Ask and Bid Quotes
13.6.2 Decomposing Quote Dynamics
References
014
Appendix A: Important Distributions for Positive-Valued Data
Poisson Distribution
Negative Binomial Distribution
Log-Normal Distribution
Exponential Distribution
Gamma Distribution
Weibull Distribution
Generalized Gamma Distribution
Generalized F Distribution
Burr Distribution
Extreme Value Type I Distribution
Burr Type II Distribution
Pareto Distribution
Index
Nikolaus Hautsch Econometrics of Financial High-Frequency Data 123
Professor Dr. Nikolaus Hautsch Institute for Statistics and Econometrics School of Business and Economics Humboldt-Universit¨at zu Berlin Spandauer Str. 1 10178 Berlin Germany nikolaus.hautsch@wiwi.hu-berlin.de ISBN 978-3-642-21924-5 DOI 10.1007/978-3-642-21925-2 Springer Heidelberg Dordrecht London New York e-ISBN 978-3-642-21925-2 Library of Congress Control Number: 2011938812 c Springer-Verlag Berlin Heidelberg 2012 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover design: eStudio Calamar S.L. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
To Christiane, Elias and Emilia
Preface This book is an extended revision of Modelling Irregularly Spaced Financial Data – Theory and Practice of Dynamic Duration Models (Hautsch 2004) which has been written as a doctoral dissertation at the Department of Economics at the University of Konstanz. Six years later, when I started thinking about a second edition of this book accounting for recent developments in the area of high-frequency finance, I realized that an extension of the scope of the book and the inclusion of more topics and material are inevitable. Given the developments in high-frequency finance, the number of new approaches and the current challenges induced by technological progress in market structures as well as in the trading industry, I decided to change the title of the book, to revise and restructure existing material and to include additional topics resulting in a new monography. Compared to Hautsch (2004), the list of topics has been extended, among others, by various types of univariate and multivariate multiplicative error models, autoregressive count data approaches, dynamic specifications for integer-valued variables as well as models for quote dynamics. Moreover, different approaches to quantify intraday volatility are discussed involving realized volatility measures, trade-based volatility concepts, and intensity-based measures. A further focus lies on the modeling of liquidity and order book dynamics. Finally, institutional settings, market structures, issues of data preparation, preprocessing, and implementation pitfalls as well as illustrations of the empirical properties of high-frequency data are discussed more extensively and thoroughly using updated data from trading at the New York Stock Exchange, NASDAQ and the Deutsche B¨orse. The book is intended for researchers interested in methods, approaches and applications in the area of high-frequency econometrics. Moreover, it is written for students and scholars covering this subject, for instance, in a course on financial econometrics, financial statistics, or empirical finance. Students using the book should have a basic knowledge in mathematical statistics, time series analysis, and econometric estimation theory. Finally, the book addresses the needs of financial practitioners who require statistical methods to model and predict high-frequency market processes as well as intraday volatility and liquidity dynamics. vii
viii Preface Needless to say that a book focusing on a rapidly developing and growing field, such as high-frequency financial econometrics, is never complete and entirely up- to-date. Moreover, it is impossible to cover all specific topics, approaches, and applications. Furthermore, it is obvious that each topic could be addressed in more depth both from a methodological (and mathematical) viewpoint and from an applied side. In fact, some of the topics, such, for instance, the concept of realized volatility, are only touched without going into deep mathematical details. Therefore, I tried to find a compromise between elaborateness, compactness, and topical broadness. I wish to thank Axel Groß-Klußmann, Gustav Haitz, Ruihong Huang, Peter Malec, and Stefanie Schulz for helpful comments, proof reading, and editing work. Moreover, I am grateful to many colleagues, coworkers and coauthors for inspiring discussions and joint work building the basis for many aspects and topics covered in this book. In this context, I wish to express my special gratitude to Luc Bauwens, Wolfgang H¨ardle, Anthony Hall, Lada Kyj, Roel Oomen, Mark Podolskij, and Melanie Schienle. Last but not least, I would like to thank my family. I am exceptionally indebted to my wonderful wife Christiane. Without her love, support, and encouragement, this book could not have been written. I also wish to thank my children Elias and Emilia for providing refreshing and valuable distraction from research and writing a book. Berlin May 2011 Nikolaus Hautsch
Contents 1 Introduction ................................................................. 1.1 Motivation ............................................................ 1.2 Structure of the Book ................................................ References .................................................................... 2.1 2 Microstructure Foundations............................................... The Institutional Framework of Trading ............................ Types of Traders and Forms of Trading ................... 2.1.1 2.1.2 Types of Orders ............................................. 2.1.3 Market Structures ........................................... 2.1.4 Order Precedence and Pricing Rules. ...................... 2.1.5 Trading Forms at Selected International Exchanges ...... A Review of Market Microstructure Theory ........................ Asymmetric Information Based Models................... 2.2.1 2.2.2 Inventory Models ........................................... 2.2.3 Major Implications for Trading Variables ................. 2.2.4 Models for Limit Order Book Markets .................... References .................................................................... 2.2 3 Empirical Properties of High-Frequency Data .......................... Handling High-Frequency Data ..................................... 3.1 3.1.1 Databases and Trading Variables .......................... 3.1.2 Matching Trades and Quotes ............................... Data Cleaning ............................................... 3.1.3 3.1.4 Split-Transactions .......................................... 3.1.5 Identification of Buyer- and Seller-Initiated Trades ...... Aggregation by Trading Events: Financial Durations .............. 3.2.1 Trade and Order Arrival Durations ........................ 3.2.2 Price and Volume Durations ............................... Properties of Financial Durations.................................... Properties of Trading Characteristics................................ Properties of Time Aggregated Data ................................ 3.3 3.4 3.5 3.2 1 1 4 8 9 9 9 10 12 14 16 19 19 21 22 23 24 27 27 27 30 32 34 34 35 35 36 37 44 52 ix
x 4 5 Contents 3.6 Summary of Major Empirical Findings ............................. References .................................................................... Financial Point Processes .................................................. 4.1 Basic Concepts of Point Processes .................................. Fundamental Definitions ................................... 4.1.1 Compensators and Intensities .............................. 4.1.2 The Homogeneous Poisson Process ....................... 4.1.3 4.1.4 Generalizations of Poisson Processes...................... A Random Time Change Argument ....................... 4.1.5 Intensity-Based Inference .................................. 4.1.6 4.1.7 Simulation and Diagnostics ................................ Four Ways to Model Point Processes................................ Intensity Models ............................................ 4.2.1 Hazard Models .............................................. 4.2.2 Duration Models ............................................ 4.2.3 4.2.4 Count Data Models ......................................... Censoring and Time-Varying Covariates ............................ Censoring ................................................... 4.3.1 4.3.2 Time-Varying Covariates ................................... An Outlook on Dynamic Extensions ................................ 4.4 References .................................................................... 4.2 4.3 60 67 69 69 69 71 74 76 77 79 81 83 83 85 90 90 91 91 92 94 97 5.4 5.5 5.6 Univariate Multiplicative Error Models ................................. 5.1 5.2 5.3 99 ARMA Models for Log Variables ................................... 100 A MEM for Durations: The ACD Model ........................... 102 Estimation of the ACD Model ....................................... 104 5.3.1 QML Estimation ............................................ 104 5.3.2 ML Estimation .............................................. 109 Seasonalities and Explanatory Variables ............................ 113 The Log-ACD Model ................................................ 115 Testing the ACD Model .............................................. 117 Portmanteau Tests .......................................... 118 5.6.1 5.6.2 Independence Tests ......................................... 120 Distribution Tests ........................................... 123 5.6.3 Lagrange Multiplier Tests . ................................. 127 5.6.4 5.6.5 Conditional Moment Tests ................................. 130 5.6.6 Monte Carlo Evidence...................................... 136 References .................................................................... 139 6.1 6 Generalized Multiplicative Error Models. ............................... 143 A Class of Augmented ACD Models................................ 143 6.1.1 Special Cases ............................................... 144 Theoretical Properties ...................................... 148 6.1.2 6.1.3 Empirical Illustrations ...................................... 149
分享到:
收藏