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Model Uncertainty and Endogenous Volatility

  • George W. Evans
  • William A. Branch

This paper introduces model uncertainty into a simple Lucas-type monetary model. 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 are 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. Using this as a basis, we identify two channels through which the economy can generate endogenous inflation and output volatility, an empirical regularity. The dual channels of least squares parameter updating and dynamic predictor selection combine to generate regime switching and endogenous volatility

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Paper provided by Society for Computational Economics in its series Computing in Economics and Finance 2005 with number 33.

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Date of creation: 11 Nov 2005
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Handle: RePEc:sce:scecf5:33
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  1. 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.
  2. George Evans & William Branch, 2003. "Intrinsic Heterogeneity in Expectation Formation," Computing in Economics and Finance 2003 312, Society for Computational Economics.
  3. Bruce McGough, 2003. "Shocking Escapes," Computing in Economics and Finance 2003 294, Society for Computational Economics.
  4. Michael T. Owyang, 2001. "Persistence, excess volatility, and volatility clusters in inflation," Review, Federal Reserve Bank of St. Louis, issue Nov., pages 41-52.
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  12. repec:att:wimass:9621 is not listed on IDEAS
  13. Adam, Klaus, 2005. "Experimental Evidence on the Persistence of Output and Inflation," CEPR Discussion Papers 4885, C.E.P.R. Discussion Papers.
  14. Branch, William A. & Evans, George W., 2006. "A simple recursive forecasting model," Economics Letters, Elsevier, vol. 91(2), pages 158-166, May.
  15. Philippe Bacchetta & Eric van Wincoop, 2004. "A Scapegoat Model of Exchange Rate Fluctuations," Working Papers 04.01, Swiss National Bank, Study Center Gerzensee.
  16. William Branch & John Carlson & George W. Evans & Bruce McGough, 2006. "Monetary Policy, Endogenous Inattention, and the Volatility Trade-off," 2006 Meeting Papers 106, Society for Economic Dynamics.
  17. 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.
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  20. Adam, Klaus, 2005. "Learning To Forecast And Cyclical Behavior Of Output And Inflation," Macroeconomic Dynamics, Cambridge University Press, vol. 9(01), pages 1-27, February.
  21. In-Koo Cho & Kenneth Kasa, 2006. "Learning and Model Validation," 2006 Meeting Papers 178, Society for Economic Dynamics.
  22. Cho, In-Koo & Kasa, Kenneth, 2008. "Learning Dynamics And Endogenous Currency Crises," Macroeconomic Dynamics, Cambridge University Press, vol. 12(02), pages 257-285, April.
  23. James Bullard & In-Koo Cho, 2003. "Escapist policy rules," Working Papers 2002-002, Federal Reserve Bank of St. Louis.
  24. 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.
  25. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-91, June.
  26. Thomas J. Sargent & Noah William, 2005. "Impacts of Priors on Convergence and Escapes from Nash Inflation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(2), pages 360-391, April.
  27. James H. Stock & Mark W. Watson, 2003. "Has the business cycle changed?," Proceedings - Economic Policy Symposium - Jackson Hole, Federal Reserve Bank of Kansas City, pages 9-56.
  28. N. Williams, 2002. "Stability and Long Run Equilibrium in Stochastic Fictitious Play," Princeton Economic Theory Working Papers cbeeeb49cc8afc83f125df5a8, David K. Levine.
  29. Hommes, Cars & Sorger, Gerhard, 1998. "Consistent Expectations Equilibria," Macroeconomic Dynamics, Cambridge University Press, vol. 2(03), pages 287-321, September.
  30. George W. Evans & Seppo Honkapohja, 1993. "Adaptive forecasts, hysteresis, and endogenous fluctuations," Economic Review, Federal Reserve Bank of San Francisco, pages 3-13.
  31. 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.
  32. 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.
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