Analysis of Financial Data

Gary Koop

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Table of contents
  • Front Matterix
  • Prefaceix
  • CHAPTER 1 Introduction1
  • Organization of the book3
  • Useful background4
  • Appendix 1.1: Concepts in mathematics used in this book4
  • The equation of a straight line5
  • Summation notation5
  • Logarithms6
  • CHAPTER 2 Basic data handling9
  • Types of financial data9
  • Time series data9
  • Cross-sectional data10
  • The distinction between qualitative and quantitative data10
  • Panel data11
  • Data transformations: levels, growth rates, returns and excess returns11
  • Index numbers13
  • Obtaining data15
  • Working with data: graphical methods16
  • Fig. 2.1 Time series graph of UK pound/US dollar exchange rate.17
  • Time series graphs17
  • Exercise 2.117
  • Histograms18
  • Fig. 2.2 Histogram.18
  • Exercise 2.219
  • XY-plots19
  • Fig. 2.3 XY–plot of profits against executive compensation.20
  • Exercise 2.321
  • Working with data: descriptive statistics21
  • Fig. 2.4 Histogram.23
  • Exercise 2.424
  • Expected values and variances24
  • Chapter summary26
  • Appendix 2.1: Index numbers27
  • Calculating a Megaco price index27
  • Table 2.1.1 Stock prices of companies in different years.27
  • Table 2.1.2 Calculating a Megaco stock price index.27
  • Calculating a stock price index28
  • Table 2.1.3 Market capitalization (millions of dollars).29
  • Table 2.1.4 Calculating the value-weighted stock price index.30
  • Appendix 2.2: Advanced descriptive statistics30
  • Endnotes31
  • CHAPTER 3 Correlation33
  • Understanding correlation33
  • Properties of correlation34
  • Understanding correlation through verbal reasoning34
  • Example: The correlation between executive compensation and profit34
  • Exercise 3.135
  • Example: The determinants of market capitalization36
  • Example: House prices in Windsor, Canada36
  • Exercise 3.238
  • Understanding why variables are correlated39
  • Example: Correlation does not necessarily imply causality39
  • Exercise 3.340
  • Understanding correlation through XY-plots40
  • Fig. 3.1 XY-plot of house price versus lot size.41
  • Fig. 3.2 XY-plot of two perfectly correlated variables (r = 1).42
  • Fig. 3.3 XY-plot of two positively correlated variables (r = 0.51).42
  • Fig. 3.4 XY-plot of two uncorrelated variables (r = 0).43
  • Fig. 3.5 XY-plot of two negatively correlated variables (r = -0.58).43
  • Exercise 3.444
  • Correlation between several variables44
  • Table 3.1 The correlation matrix for X, Y, and Z.44
  • Exercise 3.545
  • Covariances and population correlations45
  • Chapter summary47
  • Appendix 3.1: Mathematical details47
  • Endnotes48
  • CHAPTER 4 An introduction to simple regression49
  • Regression as a best fitting line50
  • Fig. 4.1 Best fitting line for three data points.52
  • Example: The regression of executive compensation on profits53
  • Interpreting OLS estimates53
  • Example: Regression of executive compensation on profits (continued from page 53)54
  • Exercise 4.154
  • Fitted values and R2: measuring the fit of a regression model55
  • Exercise 4.256
  • Exercise 4.356
  • Exercise 4.458
  • Example: The capital asset pricing model58
  • Nonlinearity in regression61
  • Fig. 4.2 A quadratic relationship between X and Y.61
  • Fig. 4.3 X and Y need to be logged.63
  • Fig. 4.4 ln (X) versus ln (Y).63
  • Exercise 4.564
  • Exercise 4.664
  • Chapter summary64
  • Appendix 4.1: Mathematical details65
  • Optional exercise65
  • Endnotes66
  • CHAPTER 5 Statistical aspects of regression69
  • Which factors affect the accuracy of the estimate ?70
  • Fig. 5.1 Very small sample size.71
  • Fig. 5.2 Large sample size, large error variance.71
  • Fig. 5.3 Large sample size, small error variance.72
  • Fig. 5.4 Limited range of X values.72
  • Calculating a confidence interval for β73
  • Example: Election polls75
  • Example: Confidence intervals for the data sets in Figures 5.1–5.477
  • Table 5.1 OLS estimates and confidence intervals.77
  • Exercise 5.178
  • Example: The regression of executive compensation on profits78
  • Example: The regression of lot size on house price78
  • Exercise 5.279
  • Exercise 5.379
  • Testing whether β = 079
  • Example: The regression of executive compensation on profits (continued from page 78)82
  • Table 5.2 The regression of executive compensation on profits.82
  • Example: The capital asset pricing model (continued from page 79)83
  • Exercise 5.483
  • Exercise 5.583
  • Exercise 5.683
  • Example: The regression of lot size on house price (continued from page 78)84
  • Exercise 5.784
  • Hypothesis testing involving R2: the F-statistic84
  • Example: The regression of executive compensation on profits (continued from page 82)86
  • Exercise 5.886
  • Chapter summary86
  • Appendix 5.1 : Using statistical tables for testing whether β = 087
  • Endnotes88
  • CHAPTER 6 Multiple regression91
  • Example: Explaining house prices92
  • Exercise 6.192
  • Example: The capital asset pricing model (continued from page 83)92
  • Regression as a best fitting line93
  • Ordinary least squares estimation of the multiple regression model93
  • Statistical aspects of multiple regression94
  • Interpreting OLS estimates95
  • Example: Explaining house prices (continued from page 92)95
  • Table 6.1 Regression of house price on lot size, number of bedrooms, number of bathrooms and number of storeys.*96
  • Example: The capital asset pricing model (continued from page 93)98
  • Table 6.2 Regression results for the CAPM example.98
  • Pitfalls of using simple regression in a multiple regression context98
  • Table 6.3 Regression of sale price on number of bedrooms.99
  • Table 6.4 Correlation matrix of variable in house price example.99
  • Omitted variables bias100
  • Exercise 6.2101
  • Multicollinearity102
  • Example: The effect of interest rates on the exchange rate102
  • Example: Multicollinearity illustrated using artificial data103
  • Table 6.5 Regression results using artificial data.103
  • Table 6.6 Regression results using artificial data omitting X2.104
  • Exercise 6.3105
  • Chapter summary105
  • Appendix 6.1 : Mathematical interpretation of regression coefficients105
  • Endnotes106
  • CHAPTER 7 Regression with dummy variables109
  • Example: The determinants of market capitalization109
  • Example: Explaining house prices110
  • Exercise 7.1111
  • Simple regression with a dummy variable112
  • Example: Explaining house prices (continued from page 111)112
  • Table 7.1 Regression of house prices on air conditioning dummy.112
  • Example: The determinants of market capitalization (continued from page 110)113
  • Table 7.2 Regression of market capitalization on SEO.113
  • Multiple regression with dummy variables114
  • Example: Explaining house prices (continued from page 113)114
  • Table 7.3 Regression of house price on driveway and recreation room dummies.114
  • Exercise 7.2115
  • Exercise 7.3115
  • Exercise 7.4116
  • Multiple regression with both dummy and non-dummy explanatory variables116
  • Example: Explaining house prices (continued from page 115)117
  • Example: Explaining house prices (continued from page 117)118
  • Exercise 7.5119
  • Example: The determinants of market capitalization (continued from page 114)119
  • Table 7.4 Regression of house price on ASSETS and SEO.119
  • Interacting dummy and non-dummy variables120
  • Example: Explaining house prices (continued from page 118)120
  • Exercise 7.6121
  • Exercise 7.7121
  • What if the dependent variable is a dummy?121
  • Chapter summary122
  • Endnote122
  • CHAPTER 8 Regression with lagged explanatory variables123
  • Aside on lagged variables125
  • Table 8.1 Creating lagged variables.127
  • Aside on notation127
  • Example: Long–run prediction of a stock market price index128
  • Table 8.2 Regression results for the long–run prediction of stock returns example.130
  • Example: The effect of bad news on market capitalization130
  • Table 8.3 Regression results for the effect of news on market capitalization example.131
  • Exercise 8.1132
  • Selection of lag order132
  • Example: The effect of bad news on market capitalization (continued from page 132)134
  • Table 8.4 Lag length set equal to 3.134
  • Exercise 8.2134
  • Chapter summary135
  • Endnotes135
  • CHAPTER 9 Univariate time series analysis137
  • Example: Stock prices on the NYSE137
  • Fig. 9.1 Log of stock price index.138
  • Fig. 9.2 Stock price return.139
  • Exercise 9.1139
  • The autocorrelation function140
  • Exercise 9.2140
  • Aside141
  • Example: Stock prices on the NYSE (continued from page 139)141
  • Table 9.1 Autocorrelation functions.142
  • Fig. 9.3 Autocorrelation function for stock prices.142
  • Fig. 9.4 Autocorrelation function for stock returns.143
  • Exercise 9.3143
  • The autoregressive model for univariate time series144
  • Fig. 9.5 AR(1) time series with ϕ = 0.145
  • Fig. 9.6 AR(1) time series with ϕ = 0.8.145
  • Fig. 9.7 AR(1) time series with ϕ = 1.146
  • Exercise 9.4146
  • Nonstationary versus stationary time series146
  • Example: Market efficiency and the random walk hypothesis148
  • Example: Stock prices on the NYSE (continued from page 143)148
  • Exercise 9.5148
  • Extensions of the AR(1) model149
  • Fig. 9.8 Trend stationary series.150
  • Exercise 9.6151
  • Example: Stock prices on the NYSE (continued from page 148)152
  • Table 9.2 AR(4) with deterministic trend model.152
  • Testing in the AR (p) with deterministic trend model152
  • Testing involving α, γ1, …, γp -1, and δ152
  • Example: Stock prices on the NYSE (continued from page 152)153
  • Table 9.3 AR(1) model.154
  • Testing involvingρ154
  • Example: Long–term interest rates156
  • Table 9.4 AR(1) model.156
  • Exercise 9.7156
  • Exercise 9.8157
  • Exercise 9.9157
  • Chapter summary158
  • Appendix 9.1 : Mathematical intuition for the AR(1) model159
  • Endnotes160
  • CHAPTER 10 Regression with time series variable161
  • Time series regression when X and Y are stationary162
  • Example: The effect of financial liberalization on economic growth164
  • Table 10.1 ADL(2,2) with deterministic trend model.165
  • Exercise 10.1166
  • Exercise 10.2166
  • Aside for Excel users166
  • Time series regression when Y and X have unit roots: spurious regression167
  • Time series regression when Y and X have unit roots: cointegration167
  • Example: Cointegration between the spot and forward rates.170
  • Estimation and testing with cointegrated variables170
  • Fig. 10.1 Spot and forward rates171
  • Example: Cointegration between the spot and forward rates (continued from page 170)172
  • Table 10.2 AR(1) using the errors from the cointegrating regression.173
  • Exercise 10.3173
  • Exercise 10.4174
  • Time series regression when Y and X are cointegrated: the error correction model174
  • Example: Cointegration between the spot and forward rates (continued from page 173)176
  • Table 10.3 Simple error correction model.176
  • Exercise 10.5177
  • Exercise 10.6177
  • Time series regression when Y and X have unit roots but are not cointegrated177
  • Exercise 10.7178
  • Chapter summary179
  • Endnotes180
  • CHAPTER 11 Regression with time series variables with several equations183
  • Granger causality184
  • Granger causality in a simple ADL model185
  • Granger causality in an ADL model with p and q lags185
  • Example: Do stock price movements in Country A Granger cause stock price movements in Country B?186
  • Table 11.1 ADL model using stock returns in Country A as the dependent variable.187
  • Causality in both directions187
  • Example: Do stock price movements in Country B Granger cause stock price movements in Country A?188
  • Table 11.2 ADL model using stock returns in Country B as the dependent variable.188
  • Exercise 11.1188
  • Exercise 11.2189
  • Granger causality with cointegrated variables189
  • Exercise 11.3190
  • Vector autoregressions190
  • Example: What moves the stock and bond markets?192
  • Exercise 11.4194
  • Table 11.3 Estimates from a VAR(1) with er,r,dy,s,dp and rb as dependent variables (P-values in parentheses).194
  • Lag length selection in VARs195
  • Table 11.4 Information criteria for VAR(p) for different lag lengths.196
  • Exercise 11.5196
  • Exercise 11.6196
  • Forecasting with VARs196
  • Exercise 11.7198
  • Exercise 11.8199
  • Vector autoregressions with cointegrated variables199
  • Example: Consumption, aggregate wealth and expected stock returns201
  • Table 11.5 Johansen test for cointegration using cay data.201
  • Exercise 11.9202
  • Exercise 11.10202
  • Exercise 11.11203
  • Chapter summary203
  • Appendix 11.1 : Hypothesis tests involving more than one coefficient204
  • Table 11.6 Critical values for F-test if T - k is large.205
  • Table 11.7 Critical values for F-test if T - k is 40.206
  • Example: Do stock returns in Country A Granger cause stock returns in Country B? (continued from page 187)206
  • Appendix 11.2 : Variance decompositions207
  • Endnotes209
  • CHAPTER 12 Financial volatility211
  • Volatility in asset prices: Introduction212
  • Example: Volatility in stock prices214
  • Fig. 12.1 Log of stock price214
  • Fig. 12.2 Percentage change in stock price.215
  • Table 12.1 AR(1) model using volatility as variable of interest.215
  • Fig. 12.3 Volatility of stock price.216
  • Exercise 12.1217
  • Autoregressive conditional heteroskedasticity (ARCH)217
  • Example: Volatility in stock prices (continued from page 216)218
  • Table 12.2 ARCH(1) model using stock returns data.218
  • Table 12.3 ARCH(2) model using stock returns data.219
  • Example: Volatility in stock prices (continued from page 219)220
  • Table 12.4 GARCH(1, 1) model using stock returns data.220
  • Exercise 12.2221
  • Exercise 12.3221
  • Chapter summary222
  • Endnotes222
  • Back Matter223
  • Appendix A Writing an empirical project223
  • Description of a typical empirical project223
  • General considerations225
  • Appendix B Data directory227
Book details
  • Vendor Wiley Global Education UK
  • SKU 0-470-06303-3
  • ISBN-13 9780470063033
  • Author Gary Koop
  • Edition 1st
  • Category Business & Economics
  • Subject Finance

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Analysis of Financial Data teaches the basic methods and techniques of data analysis to finance students, by showing them how to apply such techniques in the context of real-world empirical problems.

Adopting a largely non-mathematical approach Analysis of Financial Data relies more on verbal intuition and graphical methods for understanding.

Key features include:

  • Coverage of many of the major tools used by the financial economist e.g. correlation, regression, time series analysis and methods for analyzing financial volatility.
  • Extensive use of real data examples, which involves readers in hands-on computer work.
  • Mathematical techniques at a level suited to MBA students and undergraduates taking a first course in the topic.

Supplementary material for readers and lecturers provided on an accompanying website.