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Fiscal policy tracking design in the time–frequency domain using wavelet analysis

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  • Crowley, Patrick M.
  • Hudgins, David

Abstract

In this paper discrete wavelet filtering techniques are applied to decompose macroeconomic data so that they can be simultaneously analyzed in both the time and frequency domains. The MODWT (Maximal Overlap Discrete Wavelet Transform) is applied to US quarterly GDP data to obtain the underlying cyclical structure of the GDP components. A MATLAB program is then used to design optimal fiscal policy within an LQ tracking model with wavelet decomposition, and the results are compared with an aggregate model with no frequency decomposition. The results show that fiscal policy is more active under the wavelet-based model, and that the consumption and investment trajectories under the aggregate model are misaligned. We also simulate FHEC (Frequency Harmonizing Emphasis Control) strategies that allow policymakers to concentrate the policy thrust on tracking frequencies that are optimally aligned with policy goals under different targeting priorities. These strategies are only available by using time–frequency analysis. This research is the first to construct fiscal policy in an applied optimal control model based on the short and long cyclical lag structures obtained from wavelet analysis. Our wavelet-based optimal control procedure allows the policymaker to construct a pragmatic tracking policy, avoid suboptimal policies gleaned from an aggregate model, and reduce the potential for destabilization that might otherwise result due to improper thrust and timing.

Suggested Citation

  • Crowley, Patrick M. & Hudgins, David, 2015. "Fiscal policy tracking design in the time–frequency domain using wavelet analysis," Economic Modelling, Elsevier, vol. 51(C), pages 502-514.
  • Handle: RePEc:eee:ecmode:v:51:y:2015:i:c:p:502-514
    DOI: 10.1016/j.econmod.2015.09.001
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    References listed on IDEAS

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    1. Stan Žaković & Volker Wieland & Berc Rustem, 2007. "Stochastic Optimization and Worst-Case Analysis in Monetary Policy Design," Computational Economics, Springer;Society for Computational Economics, vol. 30(4), pages 329-347, November.
    2. Dennis, Richard & Leitemo, Kai & Söderström, Ulf, 2009. "Methods for robust control," Journal of Economic Dynamics and Control, Elsevier, vol. 33(8), pages 1604-1616, August.
    3. Gadi Barlevy, 2011. "Robustness and Macroeconomic Policy," Annual Review of Economics, Annual Reviews, vol. 3(1), pages 1-24, September.
    4. Eric Leeper & Todd B. Walker & Susan Shu-Chun Yang, 2009. "Government Investment And Fiscal Stimulus In The Short And Long Runs," Caepr Working Papers 2009-011, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
    5. Patrick M. Crowley, 2007. "A Guide To Wavelets For Economists ," Journal of Economic Surveys, Wiley Blackwell, vol. 21(2), pages 207-267, April.
    6. Kriwoluzky, Alexander, 2012. "Pre-announcement and timing: The effects of a government expenditure shock," European Economic Review, Elsevier, vol. 56(3), pages 373-388.
    7. Leeper, Eric M. & Walker, Todd B. & Yang, Shu-Chun S., 2010. "Government investment and fiscal stimulus," Journal of Monetary Economics, Elsevier, vol. 57(8), pages 1000-1012, November.
    8. Onatski, Alexei & Stock, James H., 2002. "Robust Monetary Policy Under Model Uncertainty In A Small Model Of The U.S. Economy," Macroeconomic Dynamics, Cambridge University Press, vol. 6(01), pages 85-110, February.
    9. Amman, Hans, 1996. "Numerical methods for linear-quadratic models," Handbook of Computational Economics,in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 13, pages 587-618 Elsevier.
    10. Martin Kliem & Alexander Kriwoluzky, 2014. "Toward a Taylor Rule for Fiscal Policy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(2), pages 294-302, April.
    11. David Kendrick & George Shoukry, 2014. "Quarterly Fiscal Policy Experiments with a Multiplier-Accelerator Model," Computational Economics, Springer;Society for Computational Economics, vol. 44(3), pages 269-293, October.
    12. David Kendrick & Hans Amman, 2006. "A Classification System for Economic Stochastic Control Models," Computational Economics, Springer;Society for Computational Economics, vol. 27(4), pages 453-481, June.
    13. Bernhard, Pierre, 2002. "Survey Of Linear Quadratic Robust Control," Macroeconomic Dynamics, Cambridge University Press, vol. 6(01), pages 19-39, February.
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    Cited by:

    1. Hudgins, David & Crowley, Patrick M., 2017. "Modelling a small open economy using a wavelet-based control model," Research Discussion Papers 32/2017, Bank of Finland.
    2. repec:eee:ecmode:v:64:y:2017:i:c:p:312-321 is not listed on IDEAS
    3. Crowley, Patrick M. & Hudgins, David, 2016. "Analysis of the balance between U.S. monetary and fiscal policy using simulated wavelet-based optimal tracking control," Research Discussion Papers 21/2016, Bank of Finland.
    4. repec:eee:energy:v:139:y:2017:i:c:p:617-629 is not listed on IDEAS
    5. Fousekis, Panos & Grigoriadis, Vasilis, 2016. "Spatial price dependence by time scale: Empirical evidence from the international butter markets," Economic Modelling, Elsevier, vol. 54(C), pages 195-204.

    More about this item

    Keywords

    LQ tracking; Macroeconomics; Optimal control; Discrete wavelet analysis; Fiscal policy;

    JEL classification:

    • C49 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Other
    • 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
    • C88 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Other Computer Software
    • E61 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Policy Objectives; Policy Designs and Consistency; Policy Coordination

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