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Deflationary Bubbles

Author

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  • Buiter, Willem
  • Sibert, Anne
Abstract
In an attempt to clean up an unruly literature, we specify the necessary and sufficient conditions for household optimality in a model where money is the only financial asset and provide the relevant proofs. We use our results to analyse when deflationary bubbles can and cannot exist. Our findings are in contrast to the results in several prominent contributions to the literature. We argue for particular specifications of the no-Ponzi-game restrictions on the household's and government's intertemporal budget constraints in a model with money and bonds. Using the restriction on the household we derive the necessary and sufficient conditions for household optimality. The resulting equilibrium terminal conditions are then used to demonstrate that the existence of bonds does not affect when deflationary bubbles can and cannot occur. This result differs from that in other recent works.

Suggested Citation

  • Buiter, Willem & Sibert, Anne, 2006. "Deflationary Bubbles," CEPR Discussion Papers 5637, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:5637
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    1. Willem Buiter, 2004. "A Small Corner of Intertemporal Public Finance - New Developments in Monetary Economics: 2 Ghosts, 2 Eccentricities, A Fallacy, A Mirage and A Mythos," NBER Working Papers 10524, National Bureau of Economic Research, Inc.
    2. Araujo, A. & Scheinkman, J. A., 1983. "Maximum principle and transversality condition for concave infinite horizon economic models," Journal of Economic Theory, Elsevier, vol. 30(1), pages 1-16, June.
    3. Peter Ireland, 2003. "Implementing the Friedman Rule," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(1), pages 120-134, January.
    4. Schabert, Andreas, 2005. "Identifying monetary policy shocks with changes in open market operations," European Economic Review, Elsevier, vol. 49(3), pages 561-577, April.
    5. McCallum, Bennett T., 2001. "Indeterminacy, bubbles, and the fiscal theory of price level determination," Journal of Monetary Economics, Elsevier, vol. 47(1), pages 19-30, February.
    6. Stephanie Schmitt-Grohe & Jess Benhabib & Martin Uribe, 2001. "Monetary Policy and Multiple Equilibria," American Economic Review, American Economic Association, vol. 91(1), pages 167-186, March.
    7. Stephen J. Turnovsky, 1997. "International Macroeconomic Dynamics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262201119, April.
    8. Maurice Obstfeld & Kenneth S. Rogoff, 1996. "Foundations of International Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262150476, April.
    9. Benveniste, L. M. & Scheinkman, J. A., 1982. "Duality theory for dynamic optimization models of economics: The continuous time case," Journal of Economic Theory, Elsevier, vol. 27(1), pages 1-19, June.
    10. Buiter, Willem, 2004. "A Small Corner of Intertemporal Public Finance - New Developments in Monetary Economics: Two Ghosts, Two Eccentricities, a Fall," CEPR Discussion Papers 4407, C.E.P.R. Discussion Papers.
    11. Michel, Philippe, 1990. "Some Clarifications on the Transversality Condition," Econometrica, Econometric Society, vol. 58(3), pages 705-723, May.
    12. Brock, William A., 1975. "A simple perfect foresight monetary model," Journal of Monetary Economics, Elsevier, vol. 1(2), pages 133-150, April.
    13. William A. Brock, 1982. "Asset Prices in a Production Economy," NBER Chapters, in: The Economics of Information and Uncertainty, pages 1-46, National Bureau of Economic Research, Inc.
    14. John J. McCall, 1982. "The Economics of Information and Uncertainty," NBER Books, National Bureau of Economic Research, Inc, number mcca82-1.
    15. Frank Hahn, 1985. "Money and Inflation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262580624, April.
    16. 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.
    17. Wilcox, David W, 1989. "The Sustainability of Government Deficits: Implications of the Present-Value Borrowing Constraint," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 21(3), pages 291-306, August.
    18. Feenstra, Robert C., 1986. "Functional equivalence between liquidity costs and the utility of money," Journal of Monetary Economics, Elsevier, vol. 17(2), pages 271-291, March.
    19. Stephen J. Turnovsky, 2000. "Methods of Macroeconomic Dynamics, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262201232, April.
    20. Green, Jerry R. & Scheinkman, Josè Alexandre (ed.), 1979. "General Equilibrium, Growth, and Trade," Elsevier Monographs, Elsevier, edition 1, number 9780122987502.
    21. O'Connell, Stephen A & Zeldes, Stephen P, 1988. "Rational Ponzi Games," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(3), pages 431-450, August.
    22. Obstfeld, Maurice & Rogoff, Kenneth, 1983. "Speculative Hyperinflations in Maximizing Models: Can We Rule Them Out?," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 675-687, August.
    23. Jha, Sailesh K. & Wang, Ping & Yip, Chong K., 2002. "Dynamics in a transactions-based monetary growth model," Journal of Economic Dynamics and Control, Elsevier, vol. 26(4), pages 611-635, April.
    24. Trehan, Bharat & Walsh, Carl E., 1988. "Common trends, the government's budget constraint, and revenue smoothing," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 425-444.
    25. Takashi Kamihigashi, 2000. "A simple proof of Ekeland and Scheinkman's result on the necessity of a transversality condition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(2), pages 463-468.
    26. Bernanke, Ben S, 1983. "Nonmonetary Effects of the Financial Crisis in Propagation of the Great Depression," American Economic Review, American Economic Association, vol. 73(3), pages 257-276, June.
    27. Chuang, Shi-Feng & Huo, Teh-Ming, 2003. "A note on the optimum quantity of money," Economics Letters, Elsevier, vol. 79(2), pages 269-276, May.
    28. Weil, Philippe, 1991. "Is Money Net Wealth?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(1), pages 37-53, February.
    29. Kamihigashi, Takashi, 2001. "Necessity of Transversality Conditions for Infinite Horizon Problems," Econometrica, Econometric Society, vol. 69(4), pages 995-1012, July.
    30. Gray, Jo Anna, 1984. "Dynamic Instability in Rational Expectations Models: An Attempt to Clarify," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(1), pages 93-122, February.
    31. Helpman, Elhanan, 1981. "An Exploration in the Theory of Exchange-Rate Regimes," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 865-890, October.
    32. Paul R. Krugman, 1998. "It's Baaack: Japan's Slump and the Return of the Liquidity Trap," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 29(2), pages 137-206.
    33. Matsuyama, Kiminori, 1991. "Endogenous Price Fluctuations in an Optimizing Model of a Monetary Economy," Econometrica, Econometric Society, vol. 59(6), pages 1617-1631, November.
    34. Woodford, Michael, 1990. "The optimum quantity of money," Handbook of Monetary Economics, in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 2, chapter 20, pages 1067-1152, Elsevier.
    35. Hamilton, James D & Flavin, Marjorie A, 1986. "On the Limitations of Government Borrowing: A Framework for EmpiricalTesting," American Economic Review, American Economic Association, vol. 76(4), pages 808-819, September.
    36. Willem H. Buiter, 2005. "New Developments in Monetary Economics: Two ghosts, Two Eccentricities, a Fallacy, a Mirage and a Mythos," Economic Journal, Royal Economic Society, vol. 115(502), pages 1-31, March.
    37. Ivar Ekeland & José Alexandre Scheinkman, 1986. "Transversality Conditions for Some Infinite Horizon Discrete Time Optimization Problems," Mathematics of Operations Research, INFORMS, vol. 11(2), pages 216-229, May.
    38. McCallum, Bennett T., 1983. "On non-uniqueness in rational expectations models : An attempt at perspective," Journal of Monetary Economics, Elsevier, vol. 11(2), pages 139-168.
    39. Lucas, Robert E, Jr & Stokey, Nancy L, 1987. "Money and Interest in a Cash-in-Advance Economy," Econometrica, Econometric Society, vol. 55(3), pages 491-513, May.
    40. Smith, Gregor W & Zin, Stanley E, 1991. "Persistent Deficits and the Market Value of Government Debt," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 6(1), pages 31-44, Jan.-Marc.
    41. Matthew B. Canzoneri & Robert E. Cumby & Behzad T. Diba, 2001. "Is the Price Level Determined by the Needs of Fiscal Solvency?," American Economic Review, American Economic Association, vol. 91(5), pages 1221-1238, December.
    42. Willem H. Buiter, 2003. "Helicopter Money: Irredeemable Fiat Money and the Liquidity Trap," NBER Working Papers 10163, National Bureau of Economic Research, Inc.
    43. Obstfeld, Maurice & Rogoff, Kenneth, 1986. "Ruling out divergent speculative bubbles," Journal of Monetary Economics, Elsevier, vol. 17(3), pages 349-362, May.
    44. Froot, Kenneth A & Obstfeld, Maurice, 1991. "Intrinsic Bubbles: The Case of Stock Prices," American Economic Review, American Economic Association, vol. 81(5), pages 1189-1214, December.
    45. Brock, William A, 1974. "Money and Growth: The Case of Long Run Perfect Foresight," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(3), pages 750-777, October.
    46. Martin L. Weitzman, 1973. "Duality Theory for Infinite Horizon Convex Models," Management Science, INFORMS, vol. 19(7), pages 783-789, March.
    47. Cohen, Daniel, 1985. "Inflation, wealth and interest rates in an intertemporal optimizing model," Journal of Monetary Economics, Elsevier, vol. 16(1), pages 73-85, July.
    48. 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.
    49. Brock, William A & Turnovsky, Stephen J, 1981. "The Analysis of Macroeconomic Policies in Perfect Foresight Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(1), pages 179-209, February.
    50. Lucas, Robert E, Jr, 1980. "Equilibrium in a Pure Currency Economy," Economic Inquiry, Western Economic Association International, vol. 18(2), pages 203-220, April.
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    Cited by:

    1. Willem H. Buiter, 2004. "The Elusive Welfare Economics of Price Stability as a Monetary Policy Objective: Should New Keynesian Central Bankers Pursue Price Stability?," NBER Working Papers 10848, National Bureau of Economic Research, Inc.
    2. Willem Buiter, 2007. "Is Numérairology the Future of Monetary Economics?," Open Economies Review, Springer, vol. 18(2), pages 127-156, April.
    3. Buiter, Willem H., 2009. "Negative nominal interest rates: Three ways to overcome the zero lower bound," The North American Journal of Economics and Finance, Elsevier, vol. 20(3), pages 213-238, December.
    4. Buiter, Willem, 2017. "The Fallacy of the Fiscal Theory of the Price Level - Once More," CEPR Discussion Papers 11941, C.E.P.R. Discussion Papers.
    5. 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.
    6. Buiter, Willem H., 2006. "The elusive welfare economics of price stability as a monetary policy objective: why New Keynesian central bankers should validate core inflation," Working Paper Series 609, European Central Bank.
    7. Buiter, Willem, 2017. "The Good and the Bad Fiscal Theory of the Price Level," CEPR Discussion Papers 11975, C.E.P.R. Discussion Papers.
    8. W.H. Buiter, 2007. "Is Numérairology the Future of Monetary Economics? Unbundling numéraire and medium of exchange through a virtual currency and a shadow exchange rate," CEP Discussion Papers dp0776, Centre for Economic Performance, LSE.
    9. Buiter, Willem, 2007. "Is Numérairology the Future of Monetary Economics? Unbundling Numéraire and Medium of Exchange Through a Virtual Currency and," CEPR Discussion Papers 6099, C.E.P.R. Discussion Papers.
    10. Willem H. Buiter, 2003. "Helicopter Money: Irredeemable Fiat Money and the Liquidity Trap," NBER Working Papers 10163, National Bureau of Economic Research, Inc.
    11. Zhou, Ge, 2011. "Rational bubbles and the spirit of capitalism," MPRA Paper 33988, University Library of Munich, Germany.
    12. Ulrich van Suntum & Metin Kaptan & Cordelius Ilgmann, "undated". "Reducing the lower bound on market interest rates," Working Papers 200103, Institute of Spatial and Housing Economics, Munster Universitary.
    13. Óscar J. Arce, 2005. "Reflections on fiscalist divergent price-paths," Working Papers 0533, Banco de España.

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    More about this item

    Keywords

    Deflationary bubbles; Transversatility conditions;

    JEL classification:

    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General

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