Introductory Econometrics for Finance

by
Format: Paperback
Pub. Date: 2002-09-02
Publisher(s): Cambridge University Press
List Price: $58.80

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Summary

This is the first textbook to teach introductory econometrics to finance majors. The text is data- and problem-driven, giving students the skills to estimate and interpret models, whilst having an intuitive grasp of the underlying theoretical concepts. The approach of Dr Brooks, based on the successful course he teaches at the Cass Business School, one of Europe's leading business schools, ensures that the text focuses squarely on the needs of finance students, including advice on planning and executing a project in empirical finance. The book assumes no prior knowledge of econometrics, and covers important modern topics such as time-series forecasting, volatility modelling, switching models and simulation methods. It includes detailed examples and case studies from the finance literature. Sample instructions and output from two popular and widely available computer packages (EViews and WinRATS) are presented as an integral part of the text.

Author Biography

Chris Brooks is currently Reader in Financial Econometrics at the ISMA Centre, University of Reading, where he also obtained his Ph.D. He has published over fifty articles in academic and practitioner journals including the Journal of Business, Journal of Banking and Finance, Journal of Empirical Finance and Journal of Forecasting. He has also acted as consultant for various banks and professional bodies in the fields of finance, econometrics and economics

Table of Contents

List of figures
xii
List of tables
xv
List of boxes
xviii
List of screenshots
xx
Preface xxi
Acknowledgements xxv
Introduction
1(14)
What is econometrics?
1(1)
Is financial econometrics different from `economic econometrics'? Some stylised characteristics of financial data
2(2)
Types of data
4(2)
Returns in financial modelling
6(2)
Steps involved in formulating an econometric model
8(2)
Some points to consider when reading articles in the empirical financial literature
10(1)
Outline of the remainder of this book
11(4)
Econometric packages for modelling financial data
15(27)
What packages are available?
15(1)
Choosing a package
16(1)
Accomplishing simple tasks using the two packages
17(1)
WinRATS
18(13)
EViews
31(8)
Further reading
39(3)
Appendix: economic software package suppliers
40(2)
A brief overview of the classical linear regression model
42(91)
What is a regression model?
42(1)
Regression versus correlation
43(1)
Simple regression
43(9)
Some further terminology
52(3)
The assumptions underlying the classical linear regression model
55(1)
Properties of the OLS estimator
56(2)
Precision and standard errors
58(6)
An introduction to statistical inference
64(18)
Generalising the simple model to multiple linear regression
82(1)
The constant term
83(2)
How are the parameters (the elements of the β vector) calculated in the generalised case?
85(3)
A special type of hypothesis test: the t-ratio
88(1)
Data mining and the true size of the test
89(1)
An example of the use of a simple t-test to test a theory in finance: can US mutual funds beat the market?
90(3)
Can UK unit trust managers beat the market?
93(2)
The overreaction hypothesis and the UK stock market
95(7)
Testing multiple hypotheses: the F-test
102(6)
Sample EViews and RATS instructions and output for simple linear regression
108(25)
Appendix: mathematical derivations of CLRM results
122(1)
Deriving the OLS coefficient estimator in the bivariate case
122(1)
Derivation of the OLS standard error estimators for the intercept and slope in the bivariate case
123(4)
Derivation of the OLS coefficient estimator in the multiple regression context
127(1)
Derivation of the OLS standard error estimator in the multiple regression context
128(5)
Further issues with the classical linear regression model
133(96)
Goodness of fit statistics
133(6)
Hedonic pricing models
139(3)
Tests of non-nested hypotheses
142(2)
Violations of the assumptions of the classical linear regression model
144(2)
Assumption 1: E(ut) = 0
146(1)
Assumption 2: var(ut) = σ2 < ∞
147(8)
Assumption 3: cov(ui, uj) = 0 for i ≠ j
155(23)
Assumption 4: the xt are non-stochastic
178(1)
Assumption 5: the disturbances are normally distributed
178(12)
Multicollinearity
190(4)
Adopting the wrong functional form
194(3)
Omission of an important variable
197(1)
Inclusion of an irrelevant variable
198(1)
Parameter stability tests
198(10)
A strategy for constructing econometric models and a discussion of model-building philosophies
208(3)
Determinants of sovereign credit ratings
211(18)
Appendix: a brief introduction to principal components analysis
220(2)
An application of principal components to interest rates
222(3)
Calculating principal components in practice
225(4)
Univariate time series modelling and forecasting
229(73)
Introduction
229(1)
Some notation and concepts
230(5)
Moving average processes
235(4)
Autoregressive processes
239(8)
The partial autocorrelation function
247(2)
ARMA processes
249(6)
Building ARMA models: the Box--Jenkins approach
255(3)
Example: constructing ARMA models in EViews
258(10)
Estimating ARMA models with RATS
268(4)
Examples of time series modelling in finance
272(3)
Exponential smoothing
275(2)
Forecasting in econometrics
277(14)
Forecasting using ARMA models in EViews
291(2)
Forecasting using ARMA models in RATS
293(2)
Estimating exponential smoothing models using EViews and RATS
295(7)
Multivariate models
302(65)
Motivations
302(2)
Simultaneous equations bias
304(2)
So how can simultaneous equations models be validly estimated?
306(1)
Can the original coefficients be retrieved from the πs?
306(3)
Simultaneous equations in finance
309(1)
A definition of exogeneity
310(3)
A special case: a set of equations that looks like a simultaneous equations system, but isn't
313(1)
Estimation procedures for simultaneous equations systems
313(4)
An application of a simultaneous equations approach in finance: modelling bid-ask spreads and trading activity in the S&P 100 index options market
317(6)
Simultaneous equations modelling using EViews and RATS
323(5)
A Hausman test in RATS
328(2)
Vector autoregressive models
330(6)
Does the VAR include contemporaneous terms?
336(2)
Block significance and causality tests
338(2)
VARs with exogenous variables
340(1)
Impulse responses and variance decompositions
340(3)
An example of the use of VAR models: the interaction between property returns and the macroeconomy
343(8)
VAR estimation in RATS and EViews
351(16)
Modelling long-run relationships in finance
367(70)
Stationarity and unit root testing
367(16)
Testing for unit roots in EViews
383(3)
Testing for unit roots in RATS
386(1)
Cointegration
387(2)
Equilibrium correction or error correction models
389(2)
Testing for cointegration in regression: a residuals-based approach
391(2)
Methods of parameter estimation in cointegrated systems
393(2)
Lead-lag and long-term relationships between spot and futures markets
395(8)
Testing for and estimating cointegrating systems using the Johansen technique based on VARs
403(6)
Purchasing power parity
409(2)
Cointegration between international bond markets
411(7)
Testing the expectations hypothesis of the term structure of interest rates
418(2)
Testing for cointegration and modelling cointegrated systems using EViews and RATS
420(17)
Modelling volatility and correlation
437(96)
Motivations: an excursion into non-linearity land
437(4)
Models for volatility
441(1)
Historical volatility
441(1)
Implied volatility models
442(1)
Exponentially weighted moving average models
442(2)
Autoregressive volatility models
444(1)
Autoregressive conditionally heteroscedastic (ARCH) models
445(7)
Generalised ARCH (GARCH) models
452(3)
Estimation of ARCH/GARCH models
455(13)
Extensions to the basic GARCH model
468(1)
Asymmetric GARCH models
469(1)
The GJR model
469(1)
The EGARCH model
470(1)
GJR and EGARCH in EViews
471(1)
Estimating GJR and EGARCH models using RATS
472(2)
Tests for asymmetries in volatility
474(6)
GARCH-in-mean
480(2)
Uses of GARCH-type models including volatility forecasting
482(8)
Testing non-linear restrictions or testing hypotheses about non-linear models
490(3)
Volatility forecasting: some examples and results from the literature
493(8)
Stochastic volatility models revisited
501(1)
Forecasting covariances and correlations
502(1)
Covariance modelling and forecasting in finance: examples of model uses
503(2)
Historical covariance and correlation
505(1)
Implied covariance models
505(1)
Exponentially weighted moving average models for covariances
506(1)
Multivariate GARCH models
506(4)
A multivariate GARCH model for the CAPM with time-varying covariances
510(2)
Estimating a time-varying hedge ratio for FTSE stock index returns
512(4)
Estimating multivariate GARCH models using RATS and EViews
516(17)
Appendix: parameter estimation using maximum likelihood
526(7)
Switching models
533(44)
Motivations
533(3)
Seasonalities in financial markets: introduction and literature review
536(1)
Modelling seasonality in financial data
537(8)
Estimating simple piecewise linear functions
545(1)
Markov switching models
546(3)
An application of Markov switching models to the gilt--equity yield ratio
549(9)
Estimation of Markov switching models in RATS
558(1)
Threshold autoregressive models
559(2)
Estimation of threshold autoregressive models
561(2)
Specification tests in the context of Markov switching and threshold autoregressive models: a cautionary note
563(1)
An example of applying a SETAR model to the French franc--German mark exchange rate
564(3)
Threshold models and the dynamics of the FTSE 100 stock index and stock index futures market
567(4)
A note on regime switching models and forecasting accuracy
571(1)
Estimating threshold autoregressive models in RATS
571(6)
Simulation methods
577(55)
Motivations
577(1)
Monte Carlo simulations
578(2)
Variance reduction techniques
580(5)
Bootstrapping
585(4)
Random number generation
589(1)
Disadvantages of the simulation approach to econometric or financial problem solving
590(2)
An example of the use of Monte Carlo simulation in econometrics: deriving a set of critical values for a Dickey--Fuller test
592(9)
An example of how to simulate the price of a financial option
601(11)
An example of the use of bootstrapping to calculate capital risk requirements
612(20)
Conducting empirical research or doing a project or dissertation in finance
632(13)
What is an empirical research project, and what is it for?
632(1)
Selecting the topic
633(3)
Working papers and literature on the Internet
636(1)
Getting the data
636(3)
Choice of computer software
639(1)
How might the finished project look?
639(4)
Presentational issues
643(2)
Recent and future developments in the modelling of financial time series
645(10)
Summary of the book
645(1)
What was not covered in the book
645(6)
Financial econometrics: the future?
651(3)
The final word
654(1)
Appendix 1 A review of some fundamental mathematical and statistical concepts 655(13)
A.1 Introduction
655(1)
A.2 Characteristics of probability distributions
655(2)
A.3 Properties of logarithms
657(1)
A.4 Differential calculus
657(3)
A.5 Matrices
660(5)
A.6 The eigenvalues of a matrix
665(3)
Appendix 2 Tables of statistical distributions 668(12)
References 680(13)
Index 693

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