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Accuracy, Speed and Robustness of Policy Function Iteration

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

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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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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  1. Fernández-Villaverde, Jesús & Gordon, Grey & Guerron-Quintana, Pablo A. & Rubio-Ramírez, Juan Francisco, 2012. "Nonlinear Adventures at the Zero Lower Bound," CEPR Discussion Papers 8972, C.E.P.R. Discussion Papers.
  2. Huixin Bi & Eric M. Leeper & Campbell Leith, 2012. "Uncertain Fiscal Consolidations," Working Papers 2012_03, Business School - Economics, University of Glasgow.
  3. Stephanie Schmitt-Grohe & Martin Uribe, 2002. "Solving Dynamic General Equilibrium Models Using a Second-Order Approximation to the Policy Function," NBER Technical Working Papers 0282, National Bureau of Economic Research, Inc.
  4. Davig, Troy, 2004. "Regime-switching debt and taxation," Journal of Monetary Economics, Elsevier, vol. 51(4), pages 837-859, May.
  5. S. Boragan Aruoba & Frank Schorfheide, 2013. "Macroeconomic dynamics near the ZLB: a tale of two equilibria," Working Papers 13-29, Federal Reserve Bank of Philadelphia.
  6. William T. Gavin & Benjamin D. Keen & Alexander W. Richter & Nathaniel A. Throckmorton, 2013. "Global Dynamics at the Zero Lower Bound," Auburn Economics Working Paper Series auwp2013-17, Department of Economics, Auburn University.
  7. S. B. Aruoba & Jesús Fernández-Villaverde & Juan F. Rubio-Ramirez, 2005. "Comparing Solution Methods for Dynamic Equilibrium Economies," Levine's Bibliography 122247000000000855, UCLA Department of Economics.
  8. Mertens, Karel & Ravn, Morten O, 2010. "Fiscal Policy in an Expectations Driven Liquidity Trap," CEPR Discussion Papers 7931, C.E.P.R. Discussion Papers.
  9. Braun, R. Anton & Körber, Lena Mareen & Waki, Yuichiro, 2012. "Some unpleasant properties of loglinearized solutions when the nominal rate is zero," FRB Atlanta Working Paper 2012-05, Federal Reserve Bank of Atlanta, revised 01 Nov 2015.
  10. Todd Walker & Eric Leeper & Troy Davig, 2010. "Inflation and the Fiscal Limit," 2010 Meeting Papers 837, Society for Economic Dynamics.
  11. 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.
  12. Kumhof, Michael & Rancière, Romain, 2011. "Inequality, Leverage and Crises," CEPR Discussion Papers 8179, C.E.P.R. Discussion Papers.
  13. Dixit, Avinash K & Stiglitz, Joseph E, 1975. "Monopolistic Competition and Optimum Product Diversity," The Warwick Economics Research Paper Series (TWERPS) 64, University of Warwick, Department of Economics.
  14. Bi, Huixin, 2012. "Sovereign default risk premia, fiscal limits, and fiscal policy," European Economic Review, Elsevier, vol. 56(3), pages 389-410.
  15. Datta, Manjira & Mirman, Leonard J. & Morand, Olivier F. & Reffett, Kevin L., 2005. "Markovian equilibrium in infinite horizon economies with incomplete markets and public policy," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 505-544, August.
  16. Gust, Christopher & López-Salido, J David & Smith, Matthew E, 2012. "The Empirical Implications of the Interest-Rate Lower Bound," CEPR Discussion Papers 9214, C.E.P.R. Discussion Papers.
  17. Richter, Alexander W., 2015. "Finite lifetimes, long-term debt and the fiscal limit," Journal of Economic Dynamics and Control, Elsevier, vol. 51(C), pages 180-203.
  18. Greenwood, Jeremy & Huffman, Gregory W., 1993. "On the existence of nonoptimal equilibria in dynamic stochastic economies," Working Papers 9330, Federal Reserve Bank of Dallas.
  19. Hess Chung & Troy Davig & Eric Leeper, 2004. "Monetary and Fiscal Policy Switching," Computing in Economics and Finance 2004 325, Society for Computational Economics.
  20. Davig, Troy & Leeper, Eric M. & Walker, Todd B., 2010. ""Unfunded liabilities" and uncertain fiscal financing," Journal of Monetary Economics, Elsevier, vol. 57(5), pages 600-619, July.
  21. Wilbur John Coleman, 1989. "Equilibrium in a production economy with an income tax," International Finance Discussion Papers 366, Board of Governors of the Federal Reserve System (U.S.).
  22. Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September.
  23. Jess Gaspar & Kenneth L. Judd, 1997. "Solving Large Scale Rational Expectations Models," NBER Technical Working Papers 0207, National Bureau of Economic Research, Inc.
  24. Dario Caldara & Jesús Fernández-Villaverde & Juan F. Rubio-Ramírez & Yao Wen, 2012. "Computing DSGE models with recursive preferences and stochastic volatility," Finance and Economics Discussion Series 2012-04, Board of Governors of the Federal Reserve System (U.S.).
  25. Susanto Basu & Brent Bundick, 2012. "Uncertainty shocks in a model of effective demand," Working Papers 12-15, Federal Reserve Bank of Boston.
  26. Epstein, Larry G & Zin, Stanley E, 1991. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: An Empirical Analysis," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 263-86, April.
  27. Sims, Christopher A, 2002. "Solving Linear Rational Expectations Models," Computational Economics, Springer;Society for Computational Economics, vol. 20(1-2), pages 1-20, October.
  28. Mirman, Leonard J. & Morand, Olivier F. & Reffett, Kevin L., 2008. "A qualitative approach to Markovian equilibrium in infinite horizon economies with capital," Journal of Economic Theory, Elsevier, vol. 139(1), pages 75-98, March.
  29. Rotemberg, Julio J, 1982. "Sticky Prices in the United States," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1187-1211, December.
  30. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, March.
  31. S. Borağan Aruoba & Pablo Cuba-Borda & Frank Schorfheide, 2012. "Macroeconomic Dynamics Near the ZLB: A Tale of Two Countries," PIER Working Paper Archive 14-035, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 19 Jun 2014.
  32. Judd, Kenneth L. & Guu, Sy-Ming, 1997. "Asymptotic methods for aggregate growth models," Journal of Economic Dynamics and Control, Elsevier, vol. 21(6), pages 1025-1042, June.
  33. repec:fth:harver:1421 is not listed on IDEAS
  34. Baxter, M., 1988. "Approximating Suboptimal Dynamic Equilibria: An Euler Equation Approach," RCER Working Papers 139, University of Rochester - Center for Economic Research (RCER).
  35. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
  36. Leeper, Eric M., 1991. "Equilibria under 'active' and 'passive' monetary and fiscal policies," Journal of Monetary Economics, Elsevier, vol. 27(1), pages 129-147, February.
  37. Datta, Manjira & Mirman, Leonard J. & Reffett, Kevin L., 2002. "Existence and Uniqueness of Equilibrium in Distorted Dynamic Economies with Capital and Labor," Journal of Economic Theory, Elsevier, vol. 103(2), pages 377-410, April.
  38. Alberto Giovannini & Philippe Weil, 1989. "Risk Aversion and Intertemporal Substitution in the Capital Asset Pricing Model," NBER Working Papers 2824, National Bureau of Economic Research, Inc.
  39. Baxter, Marianne & Crucini, Mario J & Rouwenhorst, K Geert, 1990. "Solving the Stochastic Growth Model by a Discrete-State-Space, Euler-Equation Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 19-21, January.
  40. Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, vol. 57(4), pages 937-69, July.
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