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Chapter 13

An Introduction to Macroeconometrics: VEC and VAR Models. Chapter 13. Prepared by Vera Tabakova, East Carolina University. Chapter 13: An Introduction to Macroeconometrics: VEC and VAR Models. 13.1 VEC and VAR Models 13.2 Estimating a Vector Error Correction model

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Chapter 13

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  1. An Introduction to Macroeconometrics: VEC and VAR Models Chapter 13 Prepared by Vera Tabakova, East Carolina University

  2. Chapter 13: An Introduction to Macroeconometrics: VEC and VAR Models • 13.1 VEC and VAR Models • 13.2 Estimating a Vector Error Correction model • 13.3 Estimating a VAR Model • 13.4 Impulse Responses and Variance Decompositions Principles of Econometrics, 3rd Edition

  3. Chapter 13: An Introduction to Macroeconometrics: VEC and VAR Models Principles of Econometrics, 3rd Edition

  4. 13.1 VEC and VAR Models Principles of Econometrics, 3rd Edition

  5. 13.1 VEC and VAR Models Principles of Econometrics, 3rd Edition

  6. 13.1 VEC and VAR Models Principles of Econometrics, 3rd Edition

  7. 13.2 Estimating a Vector Error Correction Model Principles of Econometrics, 3rd Edition

  8. 13.2.1 Example Figure 13.1 Real Gross Domestic Products (GDP) Principles of Econometrics, 3rd Edition

  9. 13.2.1 Example Principles of Econometrics, 3rd Edition

  10. 13.2.1 Example Principles of Econometrics, 3rd Edition

  11. 13.3 Estimating a VAR Model Figure 13.2 Real GDP and the Consumer Price Index (CPI) Principles of Econometrics, 3rd Edition

  12. 13.3 Estimating a VAR Model Principles of Econometrics, 3rd Edition

  13. 13.3 Estimating a VAR Model Principles of Econometrics, 3rd Edition

  14. 13.4 Impulse Responses and Variance Decompositions • 13.4.1 Impulse Response Functions • 13.4.1a The Univariate Case The series is subject it to a shock of size ν in period 1. Principles of Econometrics, 3rd Edition

  15. 13.4.1a The Univariate Case Figure 13.3 Impulse Responses for an AR(1) model (y = .9y(–1)+e) following a unit shock Principles of Econometrics, 3rd Edition

  16. 13.4.1b The Bivariate Case Principles of Econometrics, 3rd Edition

  17. 13.4.1b The Bivariate Case Principles of Econometrics, 3rd Edition

  18. 13.4.1b The Bivariate Case Principles of Econometrics, 3rd Edition

  19. 13.4.1b The Bivariate Case Figure 13.4 Impulse Responses to Standard Deviation Shock Principles of Econometrics, 3rd Edition

  20. 13.4.2 Forecast Error Variance Decompositions • 13.4.2a The Univariate Case Principles of Econometrics, 3rd Edition

  21. 13.4.2 Forecast Error Variance Decompositions • 13.4.2b The Bivariate Case Principles of Econometrics, 3rd Edition

  22. 13.4.2 Forecast Error Variance Decompositions • 13.4.2b The Bivariate Case Principles of Econometrics, 3rd Edition

  23. 13.4.2 Forecast Error Variance Decompositions • 13.4.2b The Bivariate Case Principles of Econometrics, 3rd Edition

  24. 13.4.2 Forecast Error Variance Decompositions • 13.4.2b The Bivariate Case Principles of Econometrics, 3rd Edition

  25. 13.4.2 Forecast Error Variance Decompositions • 13.4.2c The General Case • The example above assumes that x and y are not contemporaneously related and that the shocks are uncorrelated. There is no identification problem and the generation and interpretation of the impulse response functions and decomposition of the forecast error variance are straightforward. In general, this is unlikely to be the case. Contemporaneous interactions and correlated errors complicate the identification of the nature of shocks and hence the interpretation of the impulses and decomposition of the causes of the forecast error variance. Principles of Econometrics, 3rd Edition

  26. Keywords • Dynamic relationships • Error Correction • Forecast Error Variance Decomposition • Identification problem • Impulse Response Functions • VAR model • VEC Model Principles of Econometrics, 3rd Edition

  27. Chapter 13 Appendix • Appendix 13A The Identification Problem Principles of Econometrics, 3rd Edition

  28. Appendix 13A The Identification Problem Principles of Econometrics, 3rd Edition

  29. Appendix 13A The Identification Problem Principles of Econometrics, 3rd Edition

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