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Model Uncertainty and Endogenous Volatility

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Author Info
Wiliam Branch (University of Californis - Irvine)
George W. Evans () (University of Oregon Economics Department)

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Abstract

This paper identifies two channels through which the economy can generate endogenous inflation and output volatility, an empirical regularity, by introducing model uncertainty into a Lucas-type monetary model. The equilibrium path of inflation depends on agents' expectations and a vector of exogenous random variables. Following Branch and Evans (2004) agents are assumed to underparameterize their forecasting models. A Misspecification Equilibrium arises when beliefs are optimal given the misspecification and predictor proportions based on relative forecast performance. We show that there may exist multiple Misspecification Equilibria, a subset of which are stable under least squares learning and dynamic predictor selection. The dual channels of least squares parameter updating and dynamic predictor selection combine to generate regime switching and endogenous volatility.

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File URL: http://economics.uoregon.edu/papers/UO-2005-21_Branch_Volatility.pdf
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Publisher Info
Paper provided by University of Oregon Economics Department in its series University of Oregon Economics Department Working Papers with number 2005-21.

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Length: 41
Date of creation: 18 Oct 2005
Date of revision: 26 Oct 2006
Handle: RePEc:ore:uoecwp:2005-21

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Related research
Keywords: Lucas model model uncertainty adaptive learning rational expectations volatility

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Find related papers by JEL classification:
C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Other Model Applications
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General

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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. Brock, William A. & Hommes, Cars H., 1998. "Heterogeneous beliefs and routes to chaos in a simple asset pricing model," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1235-1274, August. [Downloadable!] (restricted)
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  4. Adam, Klaus, 2005. "Experimental Evidence on the Persistence of Output and Inflation," CEPR Discussion Papers 4885, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  5. George W. Evans & Seppo Honkapohja, 1993. "Adaptive forecasts, hysteresis, and endogenous fluctuations," Economic Review, Federal Reserve Bank of San Francisco, pages 3-13. [Downloadable!]
  6. Ben S. Bernanke & Ilian Mihov, 1998. "Measuring Monetary Policy," The Quarterly Journal of Economics, MIT Press, vol. 113(3), pages 869-902, August. [Downloadable!] (restricted)
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  7. Kim, Chang-Jin & Nelson, Charles R & Piger, Jeremy, 2004. "The Less-Volatile U.S. Economy: A Bayesian Investigation of Timing, Breadth, and Potential Explanations," Journal of Business & Economic Statistics, American Statistical Association, vol. 22(1), pages 80-93, January.
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  8. Athanasios Orphanides & John C. Williams, 2003. "Imperfect Knowledge, Inflation Expectations, and Monetary Policy," NBER Working Papers 9884, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  9. V. V. Chari & Patrick J. Kehoe & Ellen R. McGrattan, 2005. "A critique of structural VARs using real business cycle theory," Working Papers 631, Federal Reserve Bank of Minneapolis. [Downloadable!]
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  10. repec:cup:macdyn:v:2:y:1998:i:3:p:287-321 is not listed on IDEAS
  11. Chang-Jin Kim & Charles R. Nelson, 1999. "Has The U.S. Economy Become More Stable? A Bayesian Approach Based On A Markov-Switching Model Of The Business Cycle," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 608-616, November. [Downloadable!] (restricted)
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  13. Christopher A. Sims & Tao Zha, 2006. "Were There Regime Switches in U.S. Monetary Policy?," American Economic Review, American Economic Association, vol. 96(1), pages 54-81, March. [Downloadable!]
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  14. James H. Stock & Mark W. Watson, 2003. "Has the business cycle changed?," Proceedings, Federal Reserve Bank of Kansas City, pages 9-56. [Downloadable!]
  15. Michael T. Owyang, 2001. "Persistence, excess volatility, and volatility clusters in inflation," Review, Federal Reserve Bank of St. Louis, issue Nov., pages 41-52. [Downloadable!]
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  17. Fabio Milani, 2005. "Expectations, Learning and Macroeconomic Persistence," Working Papers 050608, University of California-Irvine, Department of Economics. [Downloadable!]
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  18. Bill Branch & George W. Evans, 2003. "Intrinsic Heterogeneity in Expectation Formation," University of Oregon Economics Department Working Papers 2003-32, University of Oregon Economics Department, revised 04 Oct 2004. [Downloadable!]
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  19. Timothy Cogley & Thomas J. Sargent, 2003. "Drifts and volatilities: monetary policies and outcomes in the post WWII U.S," Working Paper 2003-25, Federal Reserve Bank of Atlanta. [Downloadable!]
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  20. N. Williams, 2002. "Stability and Long Run Equilibrium in Stochastic Fictitious Play," Princeton Economic Theory Working Papers cbeeeb49cc8afc83f125df5a8, UCLA Department of Economics. [Downloadable!]
  21. Wiliam Branch & George W. Evans, 2005. "A Simple Recursive Forecasting Model," University of Oregon Economics Department Working Papers 2005-3, University of Oregon Economics Department, revised 01 Feb 2005. [Downloadable!]
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  22. Marcet, Albert & Sargent, Thomas J., 1989. "Convergence of least squares learning mechanisms in self-referential linear stochastic models," Journal of Economic Theory, Elsevier, vol. 48(2), pages 337-368, August. [Downloadable!] (restricted)
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  24. Evans, George W & Ramey, Garey, 1992. "Expectation Calculation and Macroeconomic Dynamics," American Economic Review, American Economic Association, vol. 82(1), pages 207-24, March. [Downloadable!] (restricted)
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  26. Evans, George W. & Honkapohja, Seppo & Sargent, Thomas J., 1993. "On the preservation of deterministic cycles when some agents perceive them to be random fluctuations," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 705-721. [Downloadable!] (restricted)
  27. Albert Marcet & Thomas J. Sargent, 1992. "Speed of Convergence of Recursive Least Squares Learning with ARMA Perceptions," Economics Working Papers 15, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
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  29. Kenneth Kasa, 2004. "Learning, Large Deviations, And Recurrent Currency Crises," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(1), pages 141-173, 02. [Downloadable!] (restricted)
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  30. Albert Marcet & Juan P. Nicolini, 2003. "Recurrent Hyperinflations and Learning," American Economic Review, American Economic Association, vol. 93(5), pages 1476-1498, December. [Downloadable!]
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  31. Guse, Eran A., 2005. "Stability properties for learning with heterogeneous expectations and multiple equilibria," Journal of Economic Dynamics and Control, Elsevier, vol. 29(10), pages 1623-1642, October. [Downloadable!] (restricted)
  32. George W. Evans & Garey Ramey, 2001. ""Adaptive Expectations, Underparameterization and the Lucas Critique," University of Oregon Economics Department Working Papers 2001-8, University of Oregon Economics Department, revised 01 Dec 2004. [Downloadable!]
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Full references

Cited by:
(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. Wiliam Branch & George W. Evans, 2005. "A Simple Recursive Forecasting Model," University of Oregon Economics Department Working Papers 2005-3, University of Oregon Economics Department, revised 01 Feb 2005. [Downloadable!]
    Other versions:
  2. Alex Brazier & Richard Harrison & Mervyn King & Tony Yates, . "The danger of inflating expectations of macroeconomic stability: heuristic switching in an overlapping generations monetary model," Bank of England working papers 303, Bank of England. [Downloadable!]
    Other versions:
  3. Wiliam Branch & George W. Evans, 2006. "Asset Return Dynamics and Learning," University of Oregon Economics Department Working Papers 2006-14, University of Oregon Economics Department. [Downloadable!]
  4. Evans , George W & Honkapohja, Seppo, 2007. "Expectations, learning and monetary policy: an overview of recent research," Research Discussion Papers 32/2007, Bank of Finland. [Downloadable!]
    Other versions:
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