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Optimality Tests for Multi-Horizon Forecasts

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  • Carlos Capistrán

Abstract

This paper develops and analyzes a series of tests to evaluate the optimality of forecasts when forecasts for more than one horizon are available. The tests are based on the property that the unconditional expected loss of optimal forecasts should not decrease with the forecast horizon (e.g., under quadratic loss the variance of optimal forecast errors should not decrease with the horizon). The tests complement existing methods of forecast evaluation, such as Mincer-Zarnowitz-type tests, by using an implication of optimality that directly concerns forecasts made at different horizons. The finite sample performance of the tests is analyzed and an illustration using the Survey of Professional Forecasters is provided.

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File URL: http://www.banxico.org.mx/publicaciones-y-discursos/publicaciones/documentos-de-investigacion/banxico/%7B70D7826E-485A-2259-30B1-3216148E1E94%7D.pdf
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Bibliographic Info

Paper provided by Banco de México in its series Working Papers with number 2007-14.

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Date of creation: Dec 2007
Date of revision:
Handle: RePEc:bdm:wpaper:2007-14

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Web page: http://www.banxico.org.mx
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Related research

Keywords: Forecast Evaluation; Composite Hypothesis;

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References

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  1. Elliott, Graham & Timmermann, Allan, 2002. "Optimal Forecast Combination Under General Loss Functions and Forecast Error Distributions," University of California at San Diego, Economics Working Paper Series qt15r9t2q2, Department of Economics, UC San Diego.
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  4. Zellner, Arnold, 1986. "Biased predictors, rationality and the evaluation of forecasts," Economics Letters, Elsevier, vol. 21(1), pages 45-48.
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  7. Christoffersen, Peter F. & Diebold, Francis X., 1997. "Optimal Prediction Under Asymmetric Loss," Econometric Theory, Cambridge University Press, vol. 13(06), pages 808-817, December.
  8. Batchelor, Roy & Dua, Pami, 1991. "Blue Chip Rationality Tests," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 23(4), pages 692-705, November.
  9. Capistran, Carlos, 2006. "On comparing multi-horizon forecasts," Economics Letters, Elsevier, vol. 93(2), pages 176-181, November.
  10. Chong, Yock Y & Hendry, David F, 1986. "Econometric Evaluation of Linear Macro-Economic Models," Review of Economic Studies, Wiley Blackwell, vol. 53(4), pages 671-90, August.
  11. Francis X. Diebold & Robert S. Mariano, 1994. "Comparing Predictive Accuracy," NBER Technical Working Papers 0169, National Bureau of Economic Research, Inc.
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  13. Dean Croushore, 1993. "Introducing: the survey of professional forecasters," Business Review, Federal Reserve Bank of Philadelphia, issue Nov, pages 3-15.
  14. H. Bakhshi & G. Kapetanios & T. Yates, 2005. "Rational expectations and fixed-event forecasts: An application to UK inflation," Empirical Economics, Springer, vol. 30(3), pages 539-553, October.
  15. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-58, May.
  16. Victor Zarnowitz & Phillip Braun, 1993. "Twenty-two Years of the NBER-ASA Quarterly Economic Outlook Surveys: Aspects and Comparisons of Forecasting Performance," NBER Chapters, in: Business Cycles, Indicators and Forecasting, pages 11-94 National Bureau of Economic Research, Inc.
  17. Schmidt, Peter, 1974. "The Asymptotic Distribution of Forecasts in the Dynamic Simulation of an Econometric Model," Econometrica, Econometric Society, vol. 42(2), pages 303-09, March.
  18. Clive W.J. Granger, 1999. "Outline of forecast theory using generalized cost functions," Spanish Economic Review, Springer, vol. 1(2), pages 161-173.
  19. Halbert White, 2000. "A Reality Check for Data Snooping," Econometrica, Econometric Society, vol. 68(5), pages 1097-1126, September.
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Cited by:
  1. Andrew J. Patton & Allan Timmermann, 2011. "Forecast Rationality Tests Based on Multi-Horizon Bounds," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 30(1), pages 1-17, June.
  2. Capistrán, Carlos & López-Moctezuma, Gabriel, 2014. "Forecast revisions of Mexican inflation and GDP growth," International Journal of Forecasting, Elsevier, vol. 30(2), pages 177-191.

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