IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v156y2017icp133-137.html
   My bibliography  Save this article

An analytical approach to new Keynesian models under the fiscal theory

Author

Listed:
  • 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.

Suggested Citation

  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176517301799
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econlet.2017.05.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. John H. Cochrane, 1999. "A Frictionless View of US Inflation," NBER Chapters, in: NBER Macroeconomics Annual 1998, volume 13, pages 323-421, National Bureau of Economic Research, Inc.
    2. Leeper, E.M. & Leith, C., 2016. "Understanding Inflation as a Joint Monetary–Fiscal Phenomenon," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 2305-2415, Elsevier.
    3. 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.
    4. Hansen, Lars Peter & Sargent, Thomas J., 1980. "Formulating and estimating dynamic linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 7-46, May.
    5. Woodford, Michael, 1995. "Price-level determinacy without control of a monetary aggregate," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 43(1), pages 1-46, December.
    6. Kim, Soyoung, 2003. "Structural Shocks And The Fiscal Theory Of The Price Level In The Sticky Price Model," Macroeconomic Dynamics, Cambridge University Press, vol. 7(5), pages 759-782, November.
    7. Harvey,Andrew C., 1991. "Forecasting, Structural Time Series Models and the Kalman Filter," Cambridge Books, Cambridge University Press, number 9780521405737, September.
    8. Christiano, Lawrence J. & Vigfusson, Robert J., 2003. "Maximum likelihood in the frequency domain: the importance of time-to-plan," Journal of Monetary Economics, Elsevier, vol. 50(4), pages 789-815, May.
    9. Tan, Fei & Walker, Todd B., 2015. "Solving generalized multivariate linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 60(C), pages 95-111.
    10. Zhongjun Qu & Denis Tkachenko, 2012. "Identification and frequency domain quasi‐maximum likelihood estimation of linearized dynamic stochastic general equilibrium models," Quantitative Economics, Econometric Society, vol. 3(1), pages 95-132, March.
    11. Michael Woodford, 1998. "Control of the Public Debt: A Requirement for Price Stability?," International Economic Association Series, in: Guillermo Calvo & Mervyn King (ed.), The Debt Burden and its Consequences for Monetary Policy, chapter 5, pages 117-158, Palgrave Macmillan.
    12. Christopher A. Sims, 2013. "Paper Money," American Economic Review, American Economic Association, vol. 103(2), pages 563-584, April.
    13. Campbell Leith & Eric Leeper, 2016. "Understanding Inflation as a Joint Monetary-Fiscal Phenomenon," Working Papers 2016_01, Business School - Economics, University of Glasgow.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. Tan, Fei, 2018. "A Frequency-Domain Approach to Dynamic Macroeconomic Models," MPRA Paper 90487, University Library of Munich, Germany.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Łyziak, Tomasz & Mackiewicz-Łyziak, Joanna, 2020. "Does fiscal stance affect inflation expectations? Evidence for European economies," Economic Analysis and Policy, Elsevier, vol. 68(C), pages 296-310.
    2. Leeper, E.M. & Leith, C., 2016. "Understanding Inflation as a Joint Monetary–Fiscal Phenomenon," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 2305-2415, Elsevier.
    3. Beck-Friis, Peder & Willems, Tim, 2017. "Dissecting fiscal multipliers under the fiscal theory of the price level," European Economic Review, Elsevier, vol. 95(C), pages 62-83.
    4. Eric M. Leeper & Nora Traum & Todd B. Walker, 2017. "Clearing Up the Fiscal Multiplier Morass," American Economic Review, American Economic Association, vol. 107(8), pages 2409-2454, August.
    5. Tan, Fei, 2018. "A Frequency-Domain Approach to Dynamic Macroeconomic Models," MPRA Paper 90487, University Library of Munich, Germany.
    6. Manuel Gonzalez-Astudillo, 2013. "Monetary-fiscal policy interactions: interdependent policy rule coefficients," Finance and Economics Discussion Series 2013-58, Board of Governors of the Federal Reserve System (U.S.).
    7. Cochrane, John H, 2001. "Long-Term Debt and Optimal Policy in the Fiscal Theory of the Price Level," Econometrica, Econometric Society, vol. 69(1), pages 69-116, January.
    8. Bajo-Rubio, Oscar & Díaz-Roldán, Carmen & Esteve, Vicente, 2009. "Deficit sustainability and inflation in EMU: An analysis from the Fiscal Theory of the Price Level," European Journal of Political Economy, Elsevier, vol. 25(4), pages 525-539, December.
    9. Wolf, Martin & Müller, Gernot & Kriwoluzky, Alexander, 2013. "Currency Risk in Currency Unions," CEPR Discussion Papers 9635, C.E.P.R. Discussion Papers.
    10. Dupor, Bill, 2000. "Exchange rates and the fiscal theory of the price level," Journal of Monetary Economics, Elsevier, vol. 45(3), pages 613-630, June.
    11. Joanna Mackiewicz­‑Łyziak, 2014. "Wpływ długu publicznego na oczekiwania inflacyjne konsumentów w Europie," Gospodarka Narodowa. The Polish Journal of Economics, Warsaw School of Economics, issue 5, pages 113-132.
    12. Leith, Campbell & Wren-Lewis, Simon, 2006. "Compatibility between monetary and fiscal policy under EMU," European Economic Review, Elsevier, vol. 50(6), pages 1529-1556, August.
    13. Bai, Yuting & Kirsanova, Tatiana & Leith, Campbell, 2017. "Nominal targeting in an economy with government debt," European Economic Review, Elsevier, vol. 94(C), pages 103-125.
    14. Canzoneri, Matthew & Cumby, Robert & Diba, Behzad, 2010. "The Interaction Between Monetary and Fiscal Policy," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 17, pages 935-999, Elsevier.
    15. Buiter, Willem H. & Sibert, Anne C., 2018. "The fallacy of the fiscal theory of the price level: One last time," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 12, pages 1-56.
    16. Fan, Jingwen & Minford, Patrick, 2009. "Can the Fiscal Theory of the price level explain UK inflation in the 1970s?," Cardiff Economics Working Papers E2009/26, Cardiff University, Cardiff Business School, Economics Section, revised Mar 2011.
    17. Majid M. Al-Sadoon, 2020. "The Spectral Approach to Linear Rational Expectations Models," Papers 2007.13804, arXiv.org, revised Aug 2024.
    18. Leeper, Eric M. & Li, Bing, 2017. "Surplus–debt regressions," Economics Letters, Elsevier, vol. 151(C), pages 10-15.
    19. Jerome Creel & Henri Sterdyniak, 2002. "The fiscal theory of the price level and sluggish inflation: how important shall the wealth effect be?," Documents de Travail de l'OFCE 2002-01, Observatoire Francais des Conjonctures Economiques (OFCE).
    20. Willem Buiter, 2000. "The Fallacy of the Fiscal Theory of the Price Level, Again," CESifo Working Paper Series 303, CESifo.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ecolet:v:156:y:2017:i:c:p:133-137. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.