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An analytical approach to new Keynesian models under the fiscal theory

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  • Tan, Fei

Abstract

This article illustrates a widely applicable frequency-domain methodology to solving multivariate linear rational expectations models. As an example, we solve a prototypical new Keynesian model under the assumption that primary surpluses evolve independently of government liabilities, a regime in which the fiscal theory of the price level is valid. The resulting analytical solution is useful in characterizing the cross-equation restrictions and illustrating the complex interaction between the fiscal theory and price rigidity. We also highlight some useful by-products of such method which are not easily obtainable for more sophisticated models using time-domain methods.

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  • Tan, Fei, 2017. "An analytical approach to new Keynesian models under the fiscal theory," Economics Letters, Elsevier, vol. 156(C), pages 133-137.
    • Handle: RePEc:eee:ecolet:v:156:y:2017:i:c:p:133-137
    DOI: 10.1016/j.econlet.2017.05.001
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    Cited by:

    1. Tan, Fei, 2018. "A Frequency-Domain Approach to Dynamic Macroeconomic Models," MPRA Paper 90487, University Library of Munich, Germany.
    2. Nigel McClung, 2021. "The Power of Forward Guidance and the Fiscal Theory of the Price Level," International Journal of Central Banking, International Journal of Central Banking, vol. 17(71), pages 1-57, December.

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    More about this item

    Keywords

    Solution methods; Frequency domain; Fiscal theory of price level;
    All these keywords.

    JEL classification:

    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy; Modern Monetary Theory
    • E63 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Comparative or Joint Analysis of Fiscal and Monetary Policy; Stabilization; Treasury Policy
    • H63 - Public Economics - - National Budget, Deficit, and Debt - - - Debt; Debt Management; Sovereign Debt

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