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The Fiscal Theory of the Price Level in Overlapping Generations Models

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  • Roger Farmer
  • Pawel Zabczyk

Abstract

We demonstrate that the Fiscal Theory of the Price Level (FTPL) cannot be used to determine the price level uniquely in the overlapping generations (OLG) model. We provide two examples of OLG models, one with three 3-period lives and one with 62-period lives. Both examples are calibrated to an income profile chosen to match the life-cycle earnings process in U.S. data estimated by Guvenen et al. (2015). In both examples, there exist multiple steady-state equilibria. Our findings challenge established views about what constitutes a good combination of fiscal and monetary policies. As long as the primary deficit or the primary surplus is not too large, the fiscal authority can conduct policies that are unresponsive to endogenous changes in the level of its outstanding debt. Monetary and fiscal policy can both be active at the same time.

Suggested Citation

  • Roger Farmer & Pawel Zabczyk, 2019. "The Fiscal Theory of the Price Level in Overlapping Generations Models," National Institute of Economic and Social Research (NIESR) Discussion Papers 498, National Institute of Economic and Social Research.
    • Handle: RePEc:nsr:niesrd:498
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    1. Fatih Guvenen & Fatih Karahan & Serdar Ozkan & Jae Song, 2015. "What Do Data on Millions of U.S. Workers Reveal about Life-Cycle Earnings Risk?," NBER Working Papers 20913, National Bureau of Economic Research, Inc.
    2. Barro, Robert J, 1974. "Are Government Bonds Net Wealth?," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1095-1117, Nov.-Dec..
    3. Alan J. Auerbach, 2003. "Fiscal Policy, Past and Present," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 34(1), pages 75-138.
    4. John B. Taylor, 1999. "Introduction to "Monetary Policy Rules"," NBER Chapters, in: Monetary Policy Rules, pages 1-14, National Bureau of Economic Research, Inc.
    5. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
    6. Bennett T. McCallum & Edward Nelson, 2005. "Monetary and Fiscal Theories of the Price Level: The Irreconcilable Differences," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 21(4), pages 565-583, Winter.
    7. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66(6), pages 467-467.
    8. McCallum, Bennett T., 1981. "Price level determinacy with an interest rate policy rule and rational expectations," Journal of Monetary Economics, Elsevier, vol. 8(3), pages 319-329.
    9. Lawrence Summers & Chris Carroll, 1987. "Why Is U.S. National Saving So Low?," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 18(2), pages 607-642.
    10. Woodford, Michael, 1994. "Monetary Policy and Price Level Determinacy in a Cash-in-Advance Economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(3), pages 345-380.
    11. Poterba, James M. & Summers, Lawrence H., 1987. "Finite lifetimes and the effects of budget deficits on national saving," Journal of Monetary Economics, Elsevier, vol. 20(2), pages 369-391, September.
    12. Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 2001. "The Perils of Taylor Rules," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 40-69, January.
    13. Sims, Christopher A, 1994. "A Simple Model for Study of the Determination of the Price Level and the Interaction of Monetary and Fiscal Policy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(3), pages 381-399.
    14. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    15. John B. Taylor, 1999. "A Historical Analysis of Monetary Policy Rules," NBER Chapters, in: Monetary Policy Rules, pages 319-348, National Bureau of Economic Research, Inc.
    16. Farmer, Roger E. A., 1986. "Deficits and cycles," Journal of Economic Theory, Elsevier, vol. 40(1), pages 77-88, October.
    17. Jianjun Miao & Pengfei Wang, 2012. "Bubbles and Total Factor Productivity," American Economic Review, American Economic Association, vol. 102(3), pages 82-87, May.
    18. Alberto Martin & Jaume Ventura, 2011. "Theoretical Notes on Bubbles and the Current Crisis," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 59(1), pages 6-40, April.
    19. Gauti B. Eggertsson & Neil R. Mehrotra & Jacob A. Robbins, 2019. "A Model of Secular Stagnation: Theory and Quantitative Evaluation," American Economic Journal: Macroeconomics, American Economic Association, vol. 11(1), pages 1-48, January.
    20. Willem H. Buiter, 2002. "The Fiscal Theory Of The Price Level: A Critique," Economic Journal, Royal Economic Society, vol. 112(481), pages 459-480, July.
    21. Farmer, Roger E.A. & Khramov, Vadim & Nicolò, Giovanni, 2015. "Solving and estimating indeterminate DSGE models," Journal of Economic Dynamics and Control, Elsevier, vol. 54(C), pages 17-36.
    22. T. J. Kehoe & D. K. Levine, 1983. "Indeterminacy of Relative Prices in Overlapping Generations Models," Working papers 313, Massachusetts Institute of Technology (MIT), Department of Economics.
    23. Cochrane, John H., 2005. "Money as stock," Journal of Monetary Economics, Elsevier, vol. 52(3), pages 501-528, April.
    24. Sargent, Thomas J & Wallace, Neil, 1975. ""Rational" Expectations, the Optimal Monetary Instrument, and the Optimal Money Supply Rule," Journal of Political Economy, University of Chicago Press, vol. 83(2), pages 241-254, April.
    25. Reichlin, Pietro, 1992. "Endogenous cycles with long-lived agents," Journal of Economic Dynamics and Control, Elsevier, vol. 16(2), pages 243-266, April.
    26. Rao Aiyagari, S., 1985. "Observational equivalence of the overlapping generations and the discounted dynamic programming frameworks for one-sector growth," Journal of Economic Theory, Elsevier, vol. 35(2), pages 201-221, August.
    27. Blanchard, Olivier J, 1985. "Debt, Deficits, and Finite Horizons," Journal of Political Economy, University of Chicago Press, vol. 93(2), pages 223-247, April.
    28. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1, July.
    29. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
    30. Farmer, Roger E.A. & Woodford, Michael, 1997. "Self-Fulfilling Prophecies And The Business Cycle," Macroeconomic Dynamics, Cambridge University Press, vol. 1(4), pages 740-769, December.
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    1. The Fiscal Theory of the Price Level in Overlapping Generations Models
      by Christian Zimmermann in NEP-DGE blog on 2019-02-06 01:13:47

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    Cited by:

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    3. Plantin, Guillaume & Barthélemy, Jean & Mengus, Eric, 2019. "Public Liquidity Demand and Central Bank Independence," CEPR Discussion Papers 14160, C.E.P.R. Discussion Papers.
    4. Roger E A Farmer, 2019. "The Indeterminacy Agenda in Macroeconomics," National Institute of Economic and Social Research (NIESR) Discussion Papers 507, National Institute of Economic and Social Research.

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    More about this item

    JEL classification:

    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies
    • H62 - Public Economics - - National Budget, Deficit, and Debt - - - Deficit; Surplus

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