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Forecast Rationality Tests Based on Multi-Horizon Bounds

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  • Patton, Andrew J
  • Timmermann, Allan G

Abstract

Forecast rationality under squared error loss implies various bounds on second moments of the data across forecast horizons. For example, the mean squared forecast error should be increasing in the horizon, and the mean squared forecast should be decreasing in the horizon. We propose rationality tests based on these restrictions, including new ones that can be conducted without data on the target variable, and implement them via tests of inequality constraints in a regression framework. A new optimal revision test based on a regression of the target variable on the long-horizon forecast and the sequence of interim forecast revisions is also proposed. The size and power of the new tests are compared with those of extant tests through Monte Carlo simulations. An empirical application to the Federal Reserve's Greenbook forecasts is presented.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 8194.

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Date of creation: Jan 2011
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Handle: RePEc:cpr:ceprdp:8194

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Keywords: forecast horizon; forecast optimality; real-time data; survey forecasts;

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References

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  1. Norman R. Swanson & Valentina Corradi & Andres Fernandez, 2011. "Information in the Revision Process of Real-Time Datasets," Departmental Working Papers 201107, Rutgers University, Department of Economics.
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  8. Wolak, Frank A., 1989. "Testing inequality constraints in linear econometric models," Journal of Econometrics, Elsevier, vol. 41(2), pages 205-235, June.
  9. Allan Timmermann & Andrew Patton, 2004. "Properties of Optimal Forecasts under Asymmetric Loss and Nonlinearity," Working Papers wp04-05, Warwick Business School, Finance Group.
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  15. Jon Faust & Jonathan H. Wright, 2007. "Comparing Greenbook and Reduced Form Forecasts using a Large Realtime Dataset," NBER Working Papers 13397, National Bureau of Economic Research, Inc.
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  18. Isiklar, Gultekin & Lahiri, Kajal & Loungani, Prakash, 2006. "How quickly do forecasters incorporate news? Evidence from cross-country surveys," MPRA Paper 22065, University Library of Munich, Germany.
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Cited by:
  1. Thomas Jobert & Lionel Persyn, 2011. "Quelques constats sur les prévisions conjoncturelles de la croissance française," Working Papers halshs-00721673, HAL.
  2. repec:dgr:uvatin:2011131 is not listed on IDEAS

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