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Conditional forecasts in dynamic multivariate models

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Author Info
Daniel F. Waggoner
Tao Zha

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Abstract

In the existing literature, conditional forecasts in the vector autoregressive (VAR) framework have not been commonly presented with probability distributions or error bands. This paper develops Bayesian methods for computing such distributions or bands. It broadens the class of conditional forecasts to which the methods can be applied. The methods work for both structural and reduced-form VAR models and, in contrast to common practices, account for the parameter uncertainty in small samples. Empirical examples under the flat prior and under the reference prior of Sims and Zha (1998) are provided to show the use of these methods.

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Paper provided by Federal Reserve Bank of Atlanta in its series Working Paper with number 98-22.

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Date of creation: 1998
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Handle: RePEc:fip:fedawp:98-22

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Related research
Keywords: Econometric models ; Forecasting ; Time-series analysis;

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This paper has been announced in the following NEP Reports: References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Robert B. Litterman, 1985. "Forecasting with Bayesian vector autoregressions five years of experience," Working Papers 274, Federal Reserve Bank of Minneapolis. [Downloadable!]
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  2. Francis X. Diebold & Todd A. Gunther & Anthony S. Tay, 1997. "Evaluating Density Forecasts," Center for Financial Institutions Working Papers 97-37, Wharton School Center for Financial Institutions, University of Pennsylvania. [Downloadable!]
    Other versions:
  3. Christopher A. Sims, 1982. "Policy Analysis with Econometric Models," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 13(1982-1), pages 107-164. [Downloadable!]
  4. Diebold, Francis X, 1998. "The Past, Present, and Future of Macroeconomic Forecasting," Journal of Economic Perspectives, American Economic Association, vol. 12(2), pages 175-92, Spring. [Downloadable!] (restricted)
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  5. Peter F. Christoffersen & Francis X. Diebold, 1997. "Cointegration and long-horizon forecasting," Working Papers 97-14, Federal Reserve Bank of Philadelphia. [Downloadable!]
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  6. Thomas Doan & Robert B. Litterman & Christopher A. Sims, 1986. "Forecasting and conditional projection using realistic prior distribution," Staff Report 93, Federal Reserve Bank of Minneapolis. [Downloadable!]
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  7. Christopher A. Sims & Tao Zha, 1994. "Error Bands for Impulse Responses," Cowles Foundation Discussion Papers 1085, Cowles Foundation, Yale University. [Downloadable!]
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  8. Daniel F. Waggoner & Tao Zha, 1997. "Normalization, probability distribution, and impulse responses," Working Paper 97-11, Federal Reserve Bank of Atlanta. [Downloadable!]
  9. Hans M. Amman & David A. Kendrick, . "Computational Economics," Online economics textbooks, SUNY-Oswego, Department of Economics, number comp1, March. [Downloadable!]
  10. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 1997. "Monetary policy shocks: what have we learned and to what end?," Working Paper Series, Macroeconomic Issues WP-97-18, Federal Reserve Bank of Chicago.
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  11. Eric M. Leeper & Christopher A. Sims & Tao Zha, 1996. "What Does Monetary Policy Do?," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 27(1996-2), pages 1-78. [Downloadable!]
  12. Miller, Preston J & Roberds, William T, 1991. "The Quantitative Significance of the Lucas Critique," Journal of Business & Economic Statistics, American Statistical Association, vol. 9(4), pages 361-87, October.
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Pesaran, M.H. & Smith, L.V. & Smith, R.P, 2005. "What if the UK has Joined the Euro in 1999? An Empirical Evaluation using a Global VAR," Cambridge Working Papers in Economics 0528, Faculty of Economics, University of Cambridge. [Downloadable!]
    Other versions:
  2. Fabio Canova & Matteo Ciccarelli, 2000. "Forecasting And Turning Point Predictions In A Bayesian Panel Var Model," Working Papers. Serie AD 2000-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
    Other versions:
  3. Fabio Canova, 2002. "G-7 inflation forecasts," Working Paper Series 151, European Central Bank. [Downloadable!]
  4. Canova, Fabio, 2002. "G-7 Inflation Forecasts," CEPR Discussion Papers 3283, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  5. John C. Robertson & Ellis W. Tallman & Charles H. Whiteman, 2002. "Forecasting using relative entropy," Working Paper 2002-22, Federal Reserve Bank of Atlanta. [Downloadable!]
    Other versions:
  6. Robert Eisenbeis & Daniel Waggoner & Tao Zha, 2002. "Evaluating Wall Street Journal survey forecasters: a multivariate approach," Working Paper 2002-8, Federal Reserve Bank of Atlanta. [Downloadable!]
  7. Malin Adolfson & Michael K. Andersson & Jesper Lindé & Mattias Villani & Anders Vredin, 2007. "Modern Forecasting Models in Action: Improving Macroeconomic Analyses at Central Banks," International Journal of Central Banking, International Journal of Central Banking, vol. 3(4), pages 111-144, December. [Downloadable!]
    Other versions:
  8. Kilian, Lutz & Manganelli, Simone, 2007. "The Central Banker as a Risk Manager: Estimating the Federal Reserve's Preferences under Greenspan," CEPR Discussion Papers 6031, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  9. James H. Stock & Mark W. Watson, 2001. "Vector Autoregressions," Journal of Economic Perspectives, American Economic Association, vol. 15(4), pages 101-115, Fall. [Downloadable!] (restricted)
  10. John C. Robertson & Ellis W. Tallman, 1999. "Improving forecasts of the federal funds rate in a policy model," Working Paper 99-3, Federal Reserve Bank of Atlanta. [Downloadable!]
  11. Andrzej Kociêcki, 2003. "On Priors for Impulse Responses in Bayesian Structural VAR Models," Econometrics 0307006, EconWPA. [Downloadable!]
  12. John C. Robertson & Ellis W. Tallman, 1999. "Prior parameter uncertainty: Some implications for forecasting and policy analysis with VAR models," Working Paper 99-13, Federal Reserve Bank of Atlanta. [Downloadable!]
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