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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. Bernanke, Ben S. & Mihov, Ilian, 1995. "Measuring Monetary Policy," Economics Series 10, Institute for Advanced Studies.
  2. 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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  5. 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.
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  8. Cho, In-Koo & Williams, Noah & Sargent, Thomas J, 2002. "Escaping Nash Inflation," Review of Economic Studies, Wiley Blackwell, vol. 69(1), pages 1-40, January.
  9. Wiliam Branch & John Carlson & George W. Evans & Bruce McGough, 2004. "Monetary Policy, Endogenous Inattention, and the Volatility Trade-off," University of Oregon Economics Department Working Papers 2004-19, University of Oregon Economics Department, revised 15 May 2007.
  10. Bullard, James & Cho, In-Koo, 2003. "Escapist policy rules," CFS Working Paper Series 2003/38, Center for Financial Studies (CFS).
  11. 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.
  12. Kenneth Kasa, 2007. "Learning and Model Validation," 2007 Meeting Papers 548, Society for Economic Dynamics.
  13. N. Williams, 2002. "Stability and Long Run Equilibrium in Stochastic Fictitious Play," Princeton Economic Theory Working Papers cbeeeb49cc8afc83f125df5a8, David K. Levine.
  14. 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.
  15. 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.
  16. 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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  18. Cogley, Timothy & Sargent, Thomas J., 2005. "The conquest of U.S. inflation: learning and robustness to model uncertainty," Working Paper Series 0478, European Central Bank.
  19. Jesus Fernandez-Villaverde & Juan F. Rubio-Ramirez, 2006. "Estimating Macroeconomic Models: A Likelihood Approach," NBER Technical Working Papers 0321, National Bureau of Economic Research, Inc.
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  22. In-Koo Cho & Kenneth Kasa, 2003. "Learning Dynamics and Endogenous Currency Crises," Computing in Economics and Finance 2003 132, Society for Computational Economics.
  23. 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.
  24. 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.
  25. George Evans & William Branch, 2003. "Intrinsic Heterogeneity in Expectation Formation," Computing in Economics and Finance 2003 312, Society for Computational Economics.
  26. Bruce McGough, 2006. "Shocking Escapes," Economic Journal, Royal Economic Society, vol. 116(511), pages 507-528, 04.
  27. Philippe Bacchetta & Eric van Wincoop, 2004. "A Scapegoat Model of Exchange Rate Fluctuations," NBER Working Papers 10245, National Bureau of Economic Research, Inc.
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  29. Adam, Klaus, 2005. "Experimental evidence on the persistence of output and inflation," Working Paper Series 0492, European Central Bank.
  30. Giorgio Primiceri & Alejandro Justiniano, 2006. "The Time Varying Volatility of Macroeconomic Fluctuations," 2006 Meeting Papers 353, Society for Economic Dynamics.
  31. 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.
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