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Fiscal Sustainability in a New Keynesian Model

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  • Campbell Leith
  • Simon Wren-Lewis

Abstract

Most recent work deriving optimal monetary policy utilising New Neo-Classical Synthesis (NNCS) models abstract from the impact of monetary policy on the government’s finances, by assuming the existence of lump sum taxes. In this paper, we assume that the government does not have access to such taxes to satisfy its intertemporal budget constraint in the face of shocks. We then consider optimal monetary and fiscal policies under discretion and commitment in the face of technology, preference and cost-push shocks. We find that the optimal precommitment policy implies a random walk in the steady-state level of debt, generalising earlier results that involved only a single fiscal instrument. We also find that the time-inconsistency in the optimal precommitment policy is such that governments are tempted, given inflationary expectations, to utilise their monetary and fiscal instruments in the initial period to change the ultimate debt burden they need to service. We show that this temptation is only eliminated if following shocks, the new steady-state debt is equal to the original (efficient) debt level. This implies that under a discretionary policy the random walk result is overturned: debt will always be returned to this initial steady-state even although there is no explicit debt target in the government’s objective function. Analytically and in a series of numerical simulations we show which instrument is used to stabilise the debt depends crucially on the degree of nominal inertia and the size of the debt-stock. We also show that the welfare consequences of introducing debt are negligible for precommitment policies, but can be significant for discretionary policy.

Suggested Citation

  • Campbell Leith & Simon Wren-Lewis, 2006. "Fiscal Sustainability in a New Keynesian Model," Working Papers 2006_11, Business School - Economics, University of Glasgow, revised Nov 2008.
  • Handle: RePEc:gla:glaewp:2006_11
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    References listed on IDEAS

    as
    1. Huixin Bi & Eric M. Leeper & Campbell Leith, 2013. "Uncertain Fiscal Consolidations," Economic Journal, Royal Economic Society, vol. 0, pages 31-63, February.
    2. Christoph Himmels & Tatiana Kirsanova, 2011. "Expectations Traps and Monetary Policy with Limited Commitment," Discussion Papers 1102, University of Exeter, Department of Economics.
    3. Schmitt-Grohe, Stephanie & Uribe, Martin, 2004. "Optimal fiscal and monetary policy under sticky prices," Journal of Economic Theory, Elsevier, vol. 114(2), pages 198-230, February.
    4. Fernando Martin, 2009. "A Positive Theory of Government Debt," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 12(4), pages 608-631, October.
    5. Tatiana Kirsanova & Campbell Leith & Simon Wren‐Lewis, 2009. "Monetary and Fiscal Policy Interaction: The Current Consensus Assignment in the Light of Recent Developments," Economic Journal, Royal Economic Society, vol. 119(541), pages 482-496, November.
    6. Florin O. Bilbiie & Fabio Ghironi & Marc J. Melitz, 2019. "Monopoly Power and Endogenous Product Variety: Distortions and Remedies," American Economic Journal: Macroeconomics, American Economic Association, vol. 11(4), pages 140-174, October.
    7. Maurice Obstfeld, 1989. "Dynamic Seigniorage Theory: An Exploration," NBER Working Papers 2869, National Bureau of Economic Research, Inc.
    8. Schmitt-Grohe, Stephanie & Uribe, Martin, 2004. "Optimal fiscal and monetary policy under imperfect competition," Journal of Macroeconomics, Elsevier, vol. 26(2), pages 183-209, June.
    9. Alberto Alesina & Silvia Ardagna, 2010. "Large Changes in Fiscal Policy: Taxes versus Spending," NBER Chapters, in: Tax Policy and the Economy, Volume 24, pages 35-68, National Bureau of Economic Research, Inc.
    10. Pierpaolo Benigno & Michael Woodford, 2004. "Optimal Monetary and Fiscal Policy: A Linear-Quadratic Approach," NBER Chapters, in: NBER Macroeconomics Annual 2003, Volume 18, pages 271-364, National Bureau of Economic Research, Inc.
    11. 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.
    12. Javier Diaz-Gimenez & Giorgia Giovannetti & Ramon Marimon & Pedro Teles, 2008. "Nominal Debt as a Burden on Monetary Policy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(3), pages 493-514, July.
    13. Frank Smets & Raf Wouters, 2005. "Comparing shocks and frictions in US and euro area business cycles: a Bayesian DSGE Approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(2), pages 161-183.
    14. Peter N. Ireland, 2004. "Technology Shocks in the New Keynesian Model," The Review of Economics and Statistics, MIT Press, vol. 86(4), pages 923-936, November.
    15. repec:edn:sirdps:398 is not listed on IDEAS
    16. Obstfeld, Maurice, 1991. "A model of currency depreciation and the debt-inflation spiral," Journal of Economic Dynamics and Control, Elsevier, vol. 15(1), pages 151-177.
    17. Bernheim, B Douglas, 1991. "Optimal Fiscal and Monetary Policy: Some Recent Results," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 23(3), pages 540-542, August.
    18. Anderson, Gary S. & Kim, Jinill & Yun, Tack, 2010. "Using a projection method to analyze inflation bias in a micro-founded model," Journal of Economic Dynamics and Control, Elsevier, vol. 34(9), pages 1572-1581, September.
    19. Barro, Robert J, 1979. "On the Determination of the Public Debt," Journal of Political Economy, University of Chicago Press, vol. 87(5), pages 940-971, October.
    20. Stefan Niemann & Paul Pichler & Gerhard Sorger, 2008. "Optimal fiscal and monetary policy without commitment," Vienna Economics Papers vie0808, University of Vienna, Department of Economics.
    21. Leith, Campbell & von Thadden, Leopold, 2008. "Monetary and fiscal policy interactions in a New Keynesian model with capital accumulation and non-Ricardian consumers," Journal of Economic Theory, Elsevier, vol. 140(1), pages 279-313, May.
    22. Nicolini, Juan Pablo, 1998. "More on the time consistency of monetary policy," Journal of Monetary Economics, Elsevier, vol. 41(2), pages 333-350, April.
    23. Ellison, Martin & Rankin, Neil, 2007. "Optimal monetary policy when lump-sum taxes are unavailable: A reconsideration of the outcomes under commitment and discretion," Journal of Economic Dynamics and Control, Elsevier, vol. 31(1), pages 219-243, January.
    24. Richard Clarida & Jordi Gali & Mark Gertler, 2001. "Optimal Monetary Policy in Open versus Closed Economies: An Integrated Approach," American Economic Review, American Economic Association, vol. 91(2), pages 248-252, May.
    25. Beetsma, Roel M. W. J. & Jensen, Henrik, 2004. "Mark-up fluctuations and fiscal policy stabilization in a monetary union," Journal of Macroeconomics, Elsevier, vol. 26(2), pages 357-376, June.
    26. Chari, V V & Christiano, Lawrence J & Kehoe, Patrick J, 1991. "Optimal Fiscal and Monetary Policy: Some Recent Results," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 23(3), pages 519-539, August.
    27. 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.
    28. Lombardo, Giovanni & Sutherland, Alan, 2004. "Monetary and fiscal interactions in open economies," Journal of Macroeconomics, Elsevier, vol. 26(2), pages 319-347, June.
    29. Lucas, Robert Jr. & Stokey, Nancy L., 1983. "Optimal fiscal and monetary policy in an economy without capital," Journal of Monetary Economics, Elsevier, vol. 12(1), pages 55-93.
    30. Levine, Paul & McAdam, Peter & Pearlman, Joseph, 2008. "Quantifying and sustaining welfare gains from monetary commitment," Journal of Monetary Economics, Elsevier, vol. 55(7), pages 1253-1276, October.
    31. Gali, Jordi, 1994. "Government size and macroeconomic stability," European Economic Review, Elsevier, vol. 38(1), pages 117-132, January.
    32. Paul Klein & Per Krusell & José-Víctor Ríos-Rull, 2008. "Time-Consistent Public Policy," Review of Economic Studies, Oxford University Press, vol. 75(3), pages 789-808.
    33. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    34. Soderlind, Paul, 1999. "Solution and estimation of RE macromodels with optimal policy," European Economic Review, Elsevier, vol. 43(4-6), pages 813-823, April.
    35. Obstfeld, Maurice, 1997. "Dynamic Seigniorage Theory," Macroeconomic Dynamics, Cambridge University Press, vol. 1(3), pages 588-614, September.
    36. Schaumburg, Ernst & Tambalotti, Andrea, 2007. "An investigation of the gains from commitment in monetary policy," Journal of Monetary Economics, Elsevier, vol. 54(2), pages 302-324, March.
    37. Leith, Campbell & Malley, Jim, 2005. "Estimated general equilibrium models for the evaluation of monetary policy in the US and Europe," European Economic Review, Elsevier, vol. 49(8), pages 2137-2159, November.
    38. repec:ags:aaea07:419 is not listed on IDEAS
    39. Campbell Leith & Simon Wren-Lewis, 2012. "Fiscal Sustainability in a New Keynesian Model - Additional Appendix," Working Papers 2012_13, Business School - Economics, University of Glasgow.
    40. Levine, Paul & Pearlman, Joseph, 2011. "Computation of LQ Approximations to Optimal Policy Problems in Different Information Settings under Zero Lower Bound Constraints," Dynare Working Papers 10, CEPREMAP.
    41. Campbell Leith & Simon Wren-lewis, 2006. "The Costs of Fiscal Inflexibility," WEF Working Papers 0005, ESRC World Economy and Finance Research Programme, Birkbeck, University of London.
    42. Leith, Campbell & Wren-Lewis, Simon, 2000. "Interactions between Monetary and Fiscal Policy Rules," Economic Journal, Royal Economic Society, vol. 110(462), pages 93-108, March.
    43. Debortoli, Davide & Nunes, Ricardo, 2010. "Fiscal policy under loose commitment," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1005-1032, May.
    44. repec:ags:aaea07:398 is not listed on IDEAS
    45. 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.
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    • E60 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - General

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