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Optimal monetary and fiscal policy: a linear-quadratic approach

  • Pierpaolo Benigno
  • Michael Woodford

We propose an integrated treatment of the problems of optimal monetary and fiscal policy, for an economy in which prices are sticky (so that the supply-side effects of tax changes are more complex than in standard fiscal analyses) and the only available sources of government revenue are distorting taxes (so that the fiscal consequences of monetary policy must be considered alongside the usual stabilization objectives). Our linear-quadratic approach allows us to nest both conventional analyses of optimal monetary stabilization policy and analyses of optimal tax-smoothing as special cases of our more general framework. We show how a linear-quadratic policy problem can be derived which yields a correct linear approximation to the optimal policy rules from the point of view of the maximization of expected discounted utility in a dynamic stochastic general-equilibrium model. Finally, in addition to characterizing the optimal dynamic responses to shocks under an optimal policy, we derive policy rules through which the monetary and fiscal authorities may implement the optimal equilibrium. These take the form of optimal targeting rules, specifying an appropriate target criterion for each authority.

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Article provided by Board of Governors of the Federal Reserve System (U.S.) in its journal Proceedings.

Volume (Year): (2003)
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Handle: RePEc:fip:fedgpr:y:2003:x:3
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  1. Bohn, Henning, 1990. "Tax Smoothing with Financial Instruments," American Economic Review, American Economic Association, vol. 80(5), pages 1217-30, December.
  2. George-Marios Angeletos & Christian Hellwig & Alessandro Pavan, 2004. "Coordination and Policy Traps," Levine's Bibliography 122247000000000294, UCLA Department of Economics.
  3. V. V. Chari & Patrick J. Kehoe, 1999. "Optimal Fiscal and Monetary Policy," NBER Working Papers 6891, National Bureau of Economic Research, Inc.
  4. George J. Hall & Stefan Krieger, 2000. "Tax Smoothing Implications of the Federal Debt Paydown," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 31(2), pages 253-302.
  5. Svensson, Lars E. O., 1999. "Inflation targeting as a monetary policy rule," Journal of Monetary Economics, Elsevier, vol. 43(3), pages 607-654, June.
  6. Richard Clarida & Jordi Gali & Mark Gertler, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," NBER Working Papers 7147, National Bureau of Economic Research, Inc.
  7. 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.
  8. Isabel Horta Correia & Juan Pablo Nicolini & Pedro Teles, 2003. "Optimal Fiscal and Monetary Policy: Equivalence Results," Working Papers w200303, Banco de Portugal, Economics and Research Department.
  9. V. V. Chari & Lawrence J. Christiano & Patrick J. Kehoe, 1991. "Optimal fiscal and monetary policy: some recent results," Staff Report 147, Federal Reserve Bank of Minneapolis.
  10. Sbordone, Argia M., 2002. "Prices and unit labor costs: a new test of price stickiness," Journal of Monetary Economics, Elsevier, vol. 49(2), pages 265-292, March.
  11. Aubhik Khan & Robert G. King & Alexander L. Wolman, 2003. "Optimal Monetary Policy," Review of Economic Studies, Oxford University Press, vol. 70(4), pages 825-860.
  12. Lars E. O. Svensson, 2003. "What is Wrong with Taylor Rules? Using Judgment in Monetary Policy through Targeting Rules," NBER Working Papers 9421, National Bureau of Economic Research, Inc.
  13. Albert Marcet & Thomas J. Sargent & Juha Seppala, 1996. "Optimal taxation without state-contingent debt," Economics Working Papers 170, Department of Economics and Business, Universitat Pompeu Fabra, revised Oct 2001.
  14. Stephanie Schmitt-Grohe & Martin Uribe, 2001. "Optimal Fiscal and Monetary Policy Under Sticky Prices," Departmental Working Papers 200105, Rutgers University, Department of Economics.
  15. Michael Woodford, 2001. "Fiscal Requirements for Price Stability," NBER Working Papers 8072, National Bureau of Economic Research, Inc.
  16. V. V. Chari & Lawrence J. Christiano & Patrick J. Kehoe, 1993. "Optimal fiscal policy in a business cycle model," Staff Report 160, Federal Reserve Bank of Minneapolis.
  17. Lars E.O. Svensson & Michael Woodford, 2004. "Implementing Optimal Policy through Inflation-Forecast Targeting," NBER Chapters, in: The Inflation-Targeting Debate, pages 19-92 National Bureau of Economic Research, Inc.
  18. Julio Rotemberg & Michael Woodford, 1997. "An Optimization-Based Econometric Framework for the Evaluation of Monetary Policy," NBER Chapters, in: NBER Macroeconomics Annual 1997, Volume 12, pages 297-361 National Bureau of Economic Research, Inc.
  19. Siu, Henry E., 2004. "Optimal fiscal and monetary policy with sticky prices," Journal of Monetary Economics, Elsevier, vol. 51(3), pages 575-607, April.
  20. Marc Giannoni & Michael Woodford, 2004. "Optimal Inflation-Targeting Rules," NBER Chapters, in: The Inflation-Targeting Debate, pages 93-172 National Bureau of Economic Research, Inc.
  21. Michael Woodford, 2001. "Inflation Stabilization and Welfare," NBER Working Papers 8071, National Bureau of Economic Research, Inc.
  22. Michael Woodford & Pierpaolo Benigno, 2004. "Inflation Stabilization and Welfare: The Case of a Distorted Steady State," 2004 Meeting Papers 481, Society for Economic Dynamics.
  23. Bernheim, B Douglas, 1991. "Optimal Fiscal and Monetary Policy: Some Recent Results," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 23(3), pages 540-42, August.
  24. Barro, Robert J, 1979. "On the Determination of the Public Debt," Journal of Political Economy, University of Chicago Press, vol. 87(5), pages 940-71, October.
  25. Marc P. Giannoni & Michael Woodford, 2003. "Optimal Interest-Rate Rules: I. General Theory," Levine's Bibliography 506439000000000384, UCLA Department of Economics.
  26. Michael Woodford, 1999. "Commentary : how should monetary policy be conducted in an era of price stability?," Proceedings - Economic Policy Symposium - Jackson Hole, Federal Reserve Bank of Kansas City, pages 277-316.
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