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Solving Ramsey Problems with Nonlinear Projection Methods

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Author Info
Michael Gapen (International Monetary Fund)
Thomas Cosimano (University of Notre Dame)

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Abstract

This paper applies nonlinear projection methods to solve Ramsey problems in a stochastic monetary economy. The presence of nonlinear distortions in the Ramsey problem requires the use of a solution procedure which captures these effects. The nonlinear projection method, even with low-order Chebyshev polynomials as employed in this paper, is able to capture a significant portion of the Jensen's inequality effects. As an example of the usefulness of nonlinear projection methods, we examine Barro's (1987, 1979) conjecture that welfare gains are available from policy smoothing with debt. Increases in the volatility of distortionary monetary policy are more than offset by declines in the volatility of distortionary labor taxes so that introduction of debt is welfare enhancing.

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Publisher Info
Article provided by Berkeley Electronic Press in its journal Studies in Nonlinear Dynamics & Econometrics.

Volume (Year): 9 (2005)
Issue (Month): 2 ()
Pages: 1263-1263
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Handle: RePEc:bep:sndecm:9:2005:2:1263-1263

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Related research
Keywords: Ramsey problem Projection method Nonlinear solution methods.

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. S. Boragan Aruoba & Jesus Fernandez-Villaverde & Juan Francisco Rubio-Ramirez, 2003. "Comparing solution methods for dynamic equilibrium economies," Working Paper 2003-27, Federal Reserve Bank of Atlanta. [Downloadable!]
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  2. Atkinson, A B, 1971. "Capital Taxes, the Redistribution of Wealth and Individual Savings," Review of Economic Studies, Blackwell Publishing, vol. 38(114), pages 209-227, April. [Downloadable!] (restricted)
  3. 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. [Downloadable!] (restricted)
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  4. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December. [Downloadable!] (restricted)
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  5. V. V. Chari & Patrick J. Kehoe, 1999. "Optimal Fiscal and Monetary Policy," NBER Working Papers 6891, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  6. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November. [Downloadable!] (restricted)
  7. Chamley, Christophe, 1986. "Optimal Taxation of Capital Income in General Equilibrium with Infinite Lives," Econometrica, Econometric Society, vol. 54(3), pages 607-22, May. [Downloadable!] (restricted)
  8. Cooley, Thomas F & Hansen, Gary D, 1991. "The Welfare Costs of Moderate Inflations," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 23(3), pages 483-503, August. [Downloadable!] (restricted)
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  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. [Downloadable!]
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  10. Atkinson, A B & Sandmo, A, 1980. "Welfare Implications of the Taxation of Savings," Economic Journal, Royal Economic Society, vol. 90(359), pages 529-49, September. [Downloadable!] (restricted)
  11. Bohn, Henning, 1988. "Why do we have nominal government debt?," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 127-140, January. [Downloadable!] (restricted)
  12. Chari, V. V. & Christiano, Lawrence J. & Kehoe, Patrick J., 1996. "Optimality of the Friedman rule in economies with distorting taxes," Journal of Monetary Economics, Elsevier, vol. 37(2-3), pages 203-223, April. [Downloadable!] (restricted)
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  13. Pestieau, P. M., 1974. "Optimal taxation and discount rate for public investment in a growth setting," Journal of Public Economics, Elsevier, vol. 3(3), pages 217-235, August. [Downloadable!] (restricted)
  14. Gary D. Hansen & Randall Wright, 1992. "The labor market in real business cycle theory," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Spr, pages 2-12. [Downloadable!]
  15. Coleman, Wilbur John, II, 1991. "Equilibrium in a Production Economy with an Income Tax," Econometrica, Econometric Society, vol. 59(4), pages 1091-1104, July. [Downloadable!] (restricted)
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  16. 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. [Downloadable!] (restricted)
  17. Judd, Kenneth L., 1985. "Redistributive taxation in a simple perfect foresight model," Journal of Public Economics, Elsevier, vol. 28(1), pages 59-83, October. [Downloadable!] (restricted)
  18. Chari, V V & Christiano, Lawrence J & Kehoe, Patrick J, 1994. "Optimal Fiscal Policy in a Business Cycle Model," Journal of Political Economy, University of Chicago Press, vol. 102(4), pages 617-52, August. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Paolo Zagaglia, 2007. "Operational Fiscal and Monetary Policy with Staggered Wage and Price Dynamics," Finnish Economic Papers, Finnish Society for Economic Research, vol. 20(2), pages 121-138, Autumn. [Downloadable!]
  2. Michael T. Gapen & Ralph Chami & Thomas F. Cosimano, 2006. "Beware of Emigrants Bearing Gifts: Optimal Fiscal and Monetary Policy in the Presence of Remittances," IMF Working Papers 06/61, International Monetary Fund. [Downloadable!]
  3. Paul Pichler, 2007. "On the accuracy of low-order projection methods," Economics Bulletin, Economics Bulletin, vol. 3(50), pages 1-8. [Downloadable!]
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