Forecasting for economics and business

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1. Verfasser: González-Rivera, Gloria (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: London ; New York Routledge 2016
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Datensatz im Suchindex

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adam_text Contents Preface MODULE I STATISTICS AND TIME SERIES CHAPTER 1 Introduction and Context 1.1 What Is Forecasting? 1.1.1 The First Forecaster in History: The Delphi Oracle 1.1.2Examples of Modem Forecasts 1.1.3Definition of Forecasting 1.1.4 Two Types of Forecasts 1.2 Who Are the Users of Forecasts? 1.2.1 Firms 1.2.2 Consumers and Investors 1.2.3 Government 1.3 Becoming Familiar with Economic Time Series: Features of a Time Series 1.3.1 Trends 1.3.2 Cycles 1.3.3 Seasonality 1.4 Basic Notation and the Objective of the Forecaster 1.4.1 Basic Notation 1.4.2 The Forecaster’s Objective 1.5 A Road Map for This Forecasting Book 1.6 Resources Key Words Exercises CHAPTER 2 Review of the Linear Regression Model 2.1 Conditional Density and Conditional Moments 2.2 Linear Regression Model X Contents 2.3 Estimation: Ordinary Least Squares 29 2.3. / R-squared and Adjusted R-squared 32 2.3.2 Linearity and OLS 33 2.3.3 Assumptions of OLS: The Gauss-Markov Theorem 35 2.3.4 An Example: House Prices and Interest Rates 38 2.4 Hypothesis Testing in a Regression Model 41 2.4.1 The t-ratio 41 2.4.2 The F-test 44 Key Words 46 Appendix 47 Exercises 49 CHAPTER 3 Statistics and Time Series 52 3.1 Stochastic Process and Time Series 54 3.1.1 Stochastic Process 55 3.1.2 Time Series 56 3.2 The Interpretation of a Time Average 57 3.2.1 Stationarity 58 3.2.2 Useful Transformations of Nonstationary Processes 62 3.3 A New Tool of Analysis: The Autocorrelation Functions 65 3.3.1 Partial Autocorrelation 69 3.3.2 Statistical Tests for Autocorrelation Coefficients 71 3.4 Conditional Moments and Time Series: What Lies Ahead 73 Key Words 74 Appendix 74 Exercises 76 MODULE II MODELING LINEAR DEPENDENCE FORECASTING WITH TIME SERIES MODELS CHAPTER 4 Tools of the Forecaster 79 4.1 The Information Set 80 4.1.1 Some Information Sets Are More Valuable Than Others 82 4.1.2 Some Time Series Are More Forecastable Than Others 84 4.2 The Forecast Horizon 84 4.2.1 Forecasting Environments 86 4.3 The Loss Function 89 4.3.1 Some Examples of Loss Functions 91 Contents XI 4.3.2 Examples 91 4.3.3 Optimal Forecast: An Introduction 93 Key Words 96 Appendix 97 Exercises 98 A PAUSE Where Are We and Where Are We Going? 100 Where Are We Going from Here? 100 How to Organize Your Reading of the Forthcoming Chapters 102 CHAPTER 5 A Understanding Linear Dependence: A Link to Economic Models 103 5.1 Price Dynamics: The Cob-Web Model (Beginner Level) 103 5.1.1 The Effect of Only One Supply Shock 105 5.1.2 The Effect of Many Supply Shocks 106 5.1.3 A Further Representation of the Dynamics in the Cob-Web Model 107 5.1.4 Simulation of the Model, pt = p*(l ~ | ) + (J) pt~ + et, and Autocorrelation Function 109 5.2 Portfolio Returns and Nonsynchronous Trading (Intermediate Level) 113 5.3 Asset Prices and the Bid-Ask Bounce (Advanced Level) 116 5.4 Summary 121 Key Words 121 Appendix 121 Exercises 123 CHAPTER 6 Forecasting with Moving Average (MA) Processes 125 6.1 A Model with No Dependence: White Noise 125 6.1.1 What Does This Process Look Like ? 126 6.2 The Wold Decomposition Theorem: The Origin of AR and MA Models (Advanced Section) 129 6.2.1 Finite Representation of the Wold Decomposition 131 6.3 Forecasting with Moving Average Models 133 6.3.1 MA( 1) Process 135 6.3.2 MA(q) Process 147 Key Words 157 Appendix 157 Exercises 158 XII Contents CHAPTER 7 Forecasting with Autoregressive (AR) Processes 160 7.1 Cycles 162 7.2 Autoregressive Models 165 7.2.1 The AR( 1) Process 165 7.2.2 A R(2) Process 173 7.2.3 AR(p) Process 185 7.2.4 Chain Rule of Forecasting 187 7.3 Seasonal Cycles 188 7.3.1 Deterministic and Stochastic Seasonal Cycles 189 7.3.2 Seasonal ARM A Models 192 7.3.3 Combining ARM A and Seasonal ARM A Models 197 Key Words 200 Exercises 200 CHAPTER 8 Forecasting Practice I 202 8.1 The Data: San Diego House Price Index 202 8.2 Model Selection 205 8.2.1 Estimation: AR, MA, andARMA Models 205 8.2.2 Is the Process Covariance-Stationary; and Is the Process Invertible? 206 8.2.3 Are the Residuals White Noise? 209 8.2.4 Are the Parameters of the Model Statistically Significant? 211 8.2.5 Is the Model Explaining a Substantial Variation of the Variable of interest? 211 8.2.6 Is It Possible to Select One Model Among Many? 212 8.3 The Forecast 213 8.3.1 Who Are the Consumers of Forecasts? 213 8.3.2 Is It Possible To Have Different Forecasts from the Same Model? 215 8.3.3 What Is the Most Common Loss Function in Economics and Business? 215 8.3.4 Final Comments 221 Key Words 221 Exercises 222 CHAPTER 9 Forecasting Practice II: Assessment of Forecasts and Combination of Forecasts 224 9.1 Optimal Forecast 225 9.1.1 Symmetric and Asymmetric Loss Functions 225 9.1.2 Testing the Optimality of the Forecast 229 9.2 Assessment of Forecasts 238 9.2.1 Descriptive Evaluation of the Average Loss 239 9.2.2 Statistical Evaluation of the Average Loss 240 Contents xiii 9.3 Combination of Forecasts 244 9.3.1 Simple Linear Combinations 244 9.3.2 Optimal Linear Combinations 245 Key Words 247 Appendix 248 Exercises 250 A PAUSE Where Are We and Where Are We Going? 252 Where Are We Going from Here? 253 CHAPTER 10 Forecasting the Long Term: Deterministic and Stochastic Trends 255 10.1 Deterministic Trends 257 10.1.1 Trend Shapes 258 10.1.2 Trend Stationarity 261 10.1.3 Optimal Forecast 262 10.2 Stochastic Trends 270 10.2.1 Trend Shapes 2 70 10.2.2 Stationarity Properties 272 10.2.3 Optimal Forecast 279 Key Words 291 Exercises 291 CHAPTER 11 Forecasting with a System of Equations: Vector Autoregression 293 11.1 What Is Vector Autoregression (VAR)? 294 11.2 Estimation of VAR 294 11.3 Granger Causality 299 11.4 Impulse-Response Functions 302 11.5 Forecasting with VAR 305 Key Words 309 Exercises 309 CHAPTER 12 Forecasting the Long Term and the Short Term Jointly 311 12.1 Finding a Long-Term Equilibrium Relationship 315 12.2 Quantifying Short-Term Dynamics: Vector Error Correction Model 322 12.3 Constructing the Forecast 327 Key Words Exercises 332 332 XIV Contents A PAUSE Where Are We and Where Are We Going? 334 Where We Are Going from Here 335 How to Organize Your Reading of the Forthcoming Chapters 336 MODULE III MODELING MORE COMPLEX DEPENDENCE CHAPTER 13 Forecasting Volatility I 337 13.1 Motivation 337 13.1.1 The World is Concerned About Uncertainty 337 13.1.2 Volatility Within the Context of Our Forecasting Problem 339 13.1.3 Setting the Objective 340 13.2 Time-Varying Dispersion: Empirical Evidence 341 13.3 Is There Time Dependence in Volatility? 345 13.4 What Have We Learned So Far? 353 13.5 Simple Specifications for the Conditional Variance 353 13.5.1 Rolling Window Volatility 354 13.5.2 Exponentially Weighted Moving Average (EWMA) Volatility 355 Key Words 357 Exercises 357 CHAPTER 14 Forecasting Volatility II 359 14.1 The ARCH Family 360 14.1.1 ARCH(l) 362 14.1.2 ARCH(p) 368 14.1.3 GARCH(IJ) 370 14.1.4 Estimation Issues for the ARCH Family 378 14.2 Realized Volatility 380 Key Words 390 Appendix 390 Exercises 393 CHAPTER 15 Financial Applications of Time-Varying Volatility 395 15.1 Risk Management 395 15.1.1 Value-at-Risk (VaR) 396 15.1.2 Expected Shortfall (ES) 400 Contents xv 15.2 Portfolio Allocation 401 15.3 Asset Pricing 404 15.4 Option Pricing 406 KeyWords 411 Appendix 411 Exercises 412 CHAPTER 16 Forecasting with Nonlinear Models: An Introduction 413 16.1 Nonlinear Dependence 414 16.1.1 What Is It? 414 16.1.2 Is There Any Evidence of Nonlinear Dynamics in the Data ? 417 16.1.3 Nonlinearity, Correlation, and Dependence 419 16.1.4 What Have We Learned So Far? 420 16.2 Nonlinear Models: An Introduction 421 16.2.1 Threshold Autoregressive Models (TAR) 422 16.2.2 Smooth Transition Models 427 16.2.3 Markov Regime-Switching Models: A Descriptive Introduction 436 16.3 Forecasting with Nonlinear Models 440 16.3.1 One-Step-Ahead Forecast 440 16.3.2 Multistep-Ahead Forecast 441 Key Words 444 Appendix 444 Exercises 445 Appendix A: Review of Probability and Statistics 447 Appendix B: Statistical Tables 463 Glossary 472 References 481 Index 483
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spellingShingle González-Rivera, Gloria
Forecasting for economics and business
Includes bibliographical references (p. 481-483) and index
Economic forecasting
Economic forecasting United States
Wirtschaft (DE-588)4066399-1 gnd
Ökonometrisches Modell (DE-588)4043212-9 gnd
Prognose (DE-588)4047390-9 gnd
subject_GND (DE-588)4066399-1
(DE-588)4043212-9
(DE-588)4047390-9
title Forecasting for economics and business
title_auth Forecasting for economics and business
title_exact_search Forecasting for economics and business
title_full Forecasting for economics and business Gloria González-Rivera
title_fullStr Forecasting for economics and business Gloria González-Rivera
title_full_unstemmed Forecasting for economics and business Gloria González-Rivera
title_short Forecasting for economics and business
title_sort forecasting for economics and business
topic Economic forecasting
Economic forecasting United States
Wirtschaft (DE-588)4066399-1 gnd
Ökonometrisches Modell (DE-588)4043212-9 gnd
Prognose (DE-588)4047390-9 gnd
topic_facet Economic forecasting
Economic forecasting United States
Wirtschaft
Ökonometrisches Modell
Prognose
USA
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