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Accuracy, Speed and Robustness of Policy Function Iteration

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  • Todd B. Walker
  • Alexander W. Richter
  • Nathaniel A. Throckmorton

Abstract

Policy function iteration methods for solving and analyzing dynamic stochastic general equilibrium models are powerful from a theoretical and computational perspective. Despite obvious theoretical appeal, significant startup costs and a reliance on grid-based methods have limited the use of policy function iteration as a solution algorithm. We reduce these costs by providing a user-friendly suite of MATLAB functions that introduce multi-core processing and Fortran via MATLAB's executable function. Within the class of policy function iteration methods, we advocate using time iteration with linear interpolation. We examine a canonical real business cycle model and a new Keynesian model that features regime switching in policy parameters, Epstein-Zin preferences, and monetary policy that occasionally hits the zero-lower bound on the nominal interest rate to highlight the attractiveness of our methodology. We compare our advocated approach to other familiar iteration and approximation methods, highlighting the tradeoffs between accuracy, speed and robustness.

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Bibliographic Info

Paper provided by Department of Economics, Auburn University in its series Auburn Economics Working Paper Series with number auwp2014-08.

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Date of creation: Apr 2014
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Handle: RePEc:abn:wpaper:auwp2014-08

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Web page: http://cla.auburn.edu/economics/
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Keywords: Policy function iteration; Zero lower bound; Epstein-Zin preferences; Markov switching; Chebyshev polynomials; Real business cycle model; New Keynesian model;

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References

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  1. Hess Chung & Troy Davig & Eric Leeper, 2004. "Monetary and Fiscal Policy Switching," Computing in Economics and Finance 2004 325, Society for Computational Economics.
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Citations

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Cited by:
  1. Alexander W. Richter, 2013. "The Fiscal Limit and Non-Ricardian Consumers," Auburn Economics Working Paper Series auwp2013-19, Department of Economics, Auburn University.
  2. Romain Ranciere & Nathaniel A. Throckmorton & Michael Kumhof & Claire Lebarz & Alexander W. Richter, 2012. "Income Inequality and Current Account Imbalances," IMF Working Papers 12/8, International Monetary Fund.
  3. William T. Gavin & Benjamin D. Keen & Alexander Richter & Nathaniel Throckmorton, 2013. "Global dynamics at the zero lower bound," Working Papers 2013-007, Federal Reserve Bank of St. Louis.
  4. Alexander W. Richter & Nathaniel A. Throckmorton, 2014. "The Zero Lower Bound: Frequency, Duration, and Numerical Convergence," Auburn Economics Working Paper Series auwp2014-09, Department of Economics, Auburn University.
  5. Alexander W. Richter & Nathaniel A. Throckmorton, 2013. "The Consequences of Uncertain Debt Targets," Auburn Economics Working Paper Series auwp2013-18, Department of Economics, Auburn University.
  6. Gavin, William T. & Keen, Benjamin D. & Richter, Alexander & Throckmorton, Nathaniel, 2013. "The stimulative effect of forward guidance," Working Papers 2013-38, Federal Reserve Bank of St. Louis, revised 30 Apr 2014.

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