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U.S. Macroeconomic Policy Evaluation in an Open Economy Context using Wavelet Decomposed Optimal Control Methods

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  • Crowley, Patrick M.
  • Hudgins, David

Abstract

It is widely recognized that the policy objectives of fiscal and monetary policymakers usually have different time horizons, and this feature may not be captured by traditional econometric techniques. In this paper, we first decompose U.S macroeconomic data using a time-frequency domain technique, namely discrete wavelet analysis. We then model the behavior of the U.S. economy over each wavelet frequency range and use our estimated parameters to construct a tracking model. To illustrate the usefulness of this approach, we simulate jointly optimal fiscal and monetary policy with different short-term targets: an inflation target, a money growth target, an interest rate target, and a real exchange rate target. The results determine the reaction in fiscal and monetary policy that is required to achieve an inflation target in a low inflation environment, and when both fiscal and monetary policy are concerned with meeting certain economic growth objectives. The combination of wavelet decomposition in an optimal control framework can also provide a new approach to macroeconomic forecasting.

Suggested Citation

  • Crowley, Patrick M. & Hudgins, David, 2019. "U.S. Macroeconomic Policy Evaluation in an Open Economy Context using Wavelet Decomposed Optimal Control Methods," Bank of Finland Research Discussion Papers 11/2019, Bank of Finland.
    • Handle: RePEc:zbw:bofrdp:rdp2019_011
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    References listed on IDEAS

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    1. Luís Aguiar-Conraria & Maria Soares, 2011. "Oil and the macroeconomy: using wavelets to analyze old issues," Empirical Economics, Springer, vol. 40(3), pages 645-655, May.
    2. 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.
    3. Patrick M. Crowley & David Hudgins, 2018. "What is the right balance between US monetary and fiscal policy? Explorations using simulated wavelet-based optimal tracking control," Empirical Economics, Springer, vol. 55(4), pages 1537-1568, December.
    4. Crowley, Patrick M. & Hudgins, David, 2017. "Wavelet-based monetary and fiscal policy in the Euro area," Journal of Policy Modeling, Elsevier, vol. 39(2), pages 206-231.
    5. 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.
    6. Thomas A. Lubik & Christian Matthes & Fabio Verona, 2019. "Assessing U.S. Aggregate Fluctuations Across Time and Frequencies," Working Paper 19-6, Federal Reserve Bank of Richmond.
    7. Wen-Yi Chen, 2016. "Health progress and economic growth in the USA: the continuous wavelet analysis," Empirical Economics, Springer, vol. 50(3), pages 831-855, May.
    8. Marco Gallegati & Mauro Gallegati & James Bernard Ramsey & Willi Semmler, 2011. "The US Wage Phillips Curve across Frequencies and over Time," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 73(4), pages 489-508, August.
    9. Patrick M. Crowley, 2007. "A Guide To Wavelets For Economists," Journal of Economic Surveys, Wiley Blackwell, vol. 21(2), pages 207-267, April.
    10. David Hudgins & Joon Na, 2016. "Entering H $$^{\infty }$$ ∞ -Optimal Control Robustness into a Macroeconomic LQ-Tracking Model," Computational Economics, Springer;Society for Computational Economics, vol. 47(2), pages 121-155, February.
    11. Aviral Tiwari & Niyati Bhanja & Arif Dar & Faridul Islam, 2015. "Time–frequency relationship between share prices and exchange rates in India: Evidence from continuous wavelets," Empirical Economics, Springer, vol. 48(2), pages 699-714, March.
    12. repec:zbw:bofrdp:2019_005 is not listed on IDEAS
    13. Patrick M. Crowley & David Hudgins, 2018. "Evaluating South African Fiscal and Monetary Policy Trade‐offs Using a Wavelet‐Based Model," South African Journal of Economics, Economic Society of South Africa, vol. 86(4), pages 401-427, December.
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    Cited by:

    1. Crowley, Patrick M. & Hughes Hallett, Andrew, 2019. "The evolution of US and UK GDP components in the time-frequency domain: A continuous wavelet analysis," Bank of Finland Research Discussion Papers 23/2019, Bank of Finland.

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    More about this item

    JEL classification:

    • 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
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E61 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Policy Objectives; Policy Designs and Consistency; Policy Coordination
    • F47 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Forecasting and Simulation: Models and Applications

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