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A NOTE ON THE RATIONALITY TEST

Published online by Cambridge University Press:  26 February 2016

Alex Ilek
Alex Ilek*
Affiliation:
Bank of Israel
*
Address correspondence to: Alex Ilek, Research Division, Bank of Israel, Har Hotzvim, Kiryat Hamada St., Jerusalem 91950, Israel; e-mail: alexei.ilek@boi.org.il.
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Abstract

The rationality test is based on regressing the actual series of variable in period t on its forecast formed in period t − 1. The nonrejection of the rationality hypothesis requires expectations' unbiasedness and efficiency. We show that in a model with t − 1 dating, where expectations strongly and positively affect the economy, the rationality test suffers from low power. It provides a high probability of nonrejection of the rationality hypothesis against numerous alternatives for expectations formation. This result is attained because the realization of the economy is driven by the public's expectations, irrespective of how well they are formed, via the structural relationship between them. The parameters in this test are predetermined by the parameters of the structural model, supporting expectations' unbiasedness under reasonable assumptions. Thus, successfully passing the rationality test could be misleading in terms of interpretation of the quality of the expectations and could lead to questionable accuracy of many applications.

Keywords

Rationality TestBoundedly Rational ExpectationsNaïve ExpectationsAd Hoc Expectations

Information

Type
Notes
Information
Macroeconomic Dynamics , Volume 21 , Issue 8 , December 2017 , pp. 2121 - 2137
Copyright
Copyright © Cambridge University Press 2016 

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Footnotes

I wish to thank two anonymous referees and the associate editor for their very helpful comments and suggestions in substantially improving the paper. I also wish to thank Thomas Laubach, Guy Segal and Jonathan Benchimol for their helpful comments and suggestions.

References

REFERENCES

Andolfatto, David, Hendry, Scott, and Moran, Kevin (2008) Are inflation expectations rational? Journal of Monetary Economics 55, 406–422.Google Scholar
Andreasen, Martin M. (2012) An estimated DSGE model: Explaining variation in nominal term premia, real term premia, and inflation risk premia. European Economic Review 56, 1656–1674.Google Scholar
Branch, William A. and Evans, George W. (2006) A simple recursive forecasting model. Economic Letters 91, 158–166.Google Scholar
Bullard, James, Evans, George W., and Honkapohja, Seppo (2010) A model of near-rational exuberance. Macroeconomic Dynamics 14, 166–188.CrossRefGoogle Scholar
Clarida, Richard, Gali, Jordi, and Gertler, Mark (1999) The science of monetary policy: A New-Keynesian perspective. Journal of Economic Literature 37, 1661–1707.Google Scholar
Dennis, Robert (2007) Optimal policy in rational expectations models: New solution algorithms. Macroeconomic Dynamics 11, 31–55.CrossRefGoogle Scholar
Engle, Robert F. and Granger, Clive W.J. (1987) Co-integration and error correction: Representation and testing. Econometrica 55, 251–276.Google Scholar
Evans, George W. and Honkapohja, Seppo (2003) Expectations and the stability problem for optimal monetary policies. Review of Economic Studies 70, 807–824.Google Scholar
Evans, George W. and Honkapohja, Seppo (2001) Learning and Expectations in Macroeconomics. Princeton, NJ: Princeton University Press.Google Scholar
Grant, Alan P. and Thomas, Lloyd B. (1999) Inflationary expectations and rationality revisited. Economic Letters 62, 331–338.Google Scholar
Kim, Suk-Joong (1997) Testing the rationality of exchange rate and interest rate expectations: An empirical study of Australian survey-based expectations. Applied Economics 29, 1011–1022.CrossRefGoogle Scholar
Lucas, Robert Emerson (1972) Expectations and neutrality of money. Journal of Economic Theory 4, 103–124.CrossRefGoogle Scholar
Maddala, Gangadharrao S. and Liu, Peter P. (1992) Rationality of survey data and tests for market efficiency on the foreign exchange markets. Journal of International Money and Finance 11, 366–381.Google Scholar
Marcet, Albert and Sargent, Thomas J. (1989) Convergence of least-squares learning in environments with hidden state variables and private information. Journal of Political Economy 97, 1306–1322.Google Scholar
Mitchell, Karlyn and Pearce, Douglas K. (2007) Professional forecasts of interest rates and exchange rates: Evidence from the Wall Street Journal's Panel of Economics. Journal of Macroeconomics 29, 840–854.Google Scholar
Orphanides, Athanasios and Williams, John C. (2005) Imperfect knowledge, inflation expectations, and monetary policy. In Bernanke, Ben S. and Woodford, Michael (eds.), The Inflation-Targeting Debate, pp. 201–246. Chicago: NBER and University of Chicago Press.Google Scholar
Osterberg, William P. (2000) New results on the rationality of survey measures of exchange rate expectations. Federal Reserve Bank of Cleveland Economic Review 36, 14–21.Google Scholar
Rich, Robert W. (1989) Testing the rationality of inflation forecasts from survey data. Review of Economics and Statistics 71, 682–686.CrossRefGoogle Scholar
Rudebusch, Glenn D. and Swanson, Eric T. (2012) The bond premium in a DSGE model with long-run real and nominal risks. American Economic Journal: Macroeconomics 4, 105–143.Google Scholar
Sargent, Thomas John (1973) Rational expectations, the real rate of interest and the natural rate of unemployment. Brookings Papers on Economic Activity 2, 429–472.Google Scholar
Smyth, David J. (1992) Measurement errors in survey forecasts of expected inflation and the rationality of inflation expectations. Journal of Macroeconomics 14, 439–448.Google Scholar
Thomas, Lloyd B. (1999) Survey measures of expected US inflation. Journal of Economic Perspectives 13, 125–144.Google Scholar