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Computing Markov-Perfect Optimal Policies In Business-Cycle Models


  • Dennis, Richard
  • Kirsanova, Tatiana


Time-inconsistency is an essential feature of many policy problems (Kydland and Prescott, 1977). This paper presents and compares three methods for computing Markov-perfect optimal policies in stochastic nonlinear business cycle models. The methods considered include value function iteration, generalized Euler-equations, and parameterized shadow prices. In the context of a business cycle model in which a scal authority chooses government spending and income taxation optimally, while lacking the ability to commit, we show that the solutions obtained using value function iteration and generalized Euler equations are somewhat more accurate than that obtained using parameterized shadow prices. Among these three methods, we show that value function iteration can be applied easily, even to environments that include a risk-sensitive scal authority and/or inequality constraints on government spending. We show that the risk-sensitive scal authority lowers government spending and income-taxation, reducing the disincentive households face to accumulate wealth.
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  • Dennis, Richard & Kirsanova, Tatiana, 2016. "Computing Markov-Perfect Optimal Policies In Business-Cycle Models," Macroeconomic Dynamics, Cambridge University Press, vol. 20(07), pages 1850-1872, October.
  • Handle: RePEc:cup:macdyn:v:20:y:2016:i:07:p:1850-1872_00

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    References listed on IDEAS

    1. Joseph G. Haubrich, 1995. "Imperfect state verification and financial contracting," Working Paper 9506, Federal Reserve Bank of Cleveland.
    2. repec:dau:papers:123456789/6457 is not listed on IDEAS
    3. Dennis, Richard, 2007. "Optimal Policy In Rational Expectations Models: New Solution Algorithms," Macroeconomic Dynamics, Cambridge University Press, vol. 11(01), pages 31-55, February.
    4. Nakata, Taisuke, 2016. "Optimal fiscal and monetary policy with occasionally binding zero bound constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 73(C), pages 220-240.
    5. Li-Lin Ku & Chien-Pai Han, 2008. "Robust testing procedures of process locations," Quality & Quantity: International Journal of Methodology, Springer, vol. 42(5), pages 579-595, October.
    6. Malin, Benjamin A. & Krueger, Dirk & Kubler, Felix, 2011. "Solving the multi-country real business cycle model using a Smolyak-collocation method," Journal of Economic Dynamics and Control, Elsevier, vol. 35(2), pages 229-239, February.
    7. Dilip Mookherjee & Ivan Png, 1989. "Optimal Auditing, Insurance, and Redistribution," The Quarterly Journal of Economics, Oxford University Press, vol. 104(2), pages 399-415.
    8. Currie,David & Levine,Paul, 2009. "Rules, Reputation and Macroeconomic Policy Coordination," Cambridge Books, Cambridge University Press, number 9780521104609, March.
    9. David R. Stockman, 2001. "Balanced-Budget Rules: Welfare Loss and Optimal Policies," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(2), pages 438-459, July.
    10. David Alary & Christian Gollier, 2004. "Debt Contract, Strategic Default, and Optimal Penalties with Judgement Errors," Annals of Economics and Finance, Society for AEF, vol. 5(2), pages 357-372, November.
    11. Christiano, Lawrence J. & Fisher, Jonas D. M., 2000. "Algorithms for solving dynamic models with occasionally binding constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 24(8), pages 1179-1232, July.
    12. David Currie & Paul Levine, 1985. "Macroeconomic Policy Design in an Interdependent World," NBER Chapters,in: International Economic Policy Coordination, pages 228-273 National Bureau of Economic Research, Inc.
    13. Hans, Erwin & Wullink, Gerhard & van Houdenhoven, Mark & Kazemier, Geert, 2008. "Robust surgery loading," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1038-1050, March.
    14. Thomas J. Sargent & Riccardo Colacito & Lars P. Hansen & Timothy Cogley, 2008. "Robustness and US Monetary," 2008 Meeting Papers 228, Society for Economic Dynamics.
    15. Pichler, Paul, 2011. "Solving the multi-country Real Business Cycle model using a monomial rule Galerkin method," Journal of Economic Dynamics and Control, Elsevier, vol. 35(2), pages 240-251, February.
    16. Niemann, S & Pichler, P & Sorger, G, 2008. "Optimal Fiscal and Monetary Policy Without Commitment," Economics Discussion Papers 2897, University of Essex, Department of Economics.
    17. Lars Peter Hansen & Thomas J. Sargent, 2008. "Time Inconsistency of Robust Control?," Chapters,in: Macroeconomics in the Small and the Large, chapter 7 Edward Elgar Publishing.
    18. Stefan Krasa & Anne P. Villamil, 2000. "Optimal Contracts when Enforcement Is a Decision Variable," Econometrica, Econometric Society, vol. 68(1), pages 119-134, January.
    19. Niemann, S & Pichler, P & Sorger, G, 2009. "Inflation dynamics under optimal discretionary fiscal and monetary policies," Economics Discussion Papers 2898, University of Essex, Department of Economics.
    20. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
    21. Gilles Oudiz & Jeffrey Sachs, 1985. "International Policy Coordination in Dynamic Macroeconomic Models," NBER Chapters,in: International Economic Policy Coordination, pages 274-330 National Bureau of Economic Research, Inc.
    22. 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 473-491, June.
    23. Douglas Gale & Martin Hellwig, 1985. "Incentive-Compatible Debt Contracts: The One-Period Problem," Review of Economic Studies, Oxford University Press, vol. 52(4), pages 647-663.
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    Cited by:

    1. Alfred Duncan & Charles Nolan, 2015. "Objectives and Challenges of Macroprudential Policy," Working Papers 2015_22, Business School - Economics, University of Glasgow.

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    JEL classification:

    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques


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