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Deflationary Bubbles

  • BUITER, WILLEM H.
  • SIBERT, ANNE C.

We analyse deflationary bubbles in a model where money is the only financial asset. We show that such bubbles are consistent with the household’s transversality condition if and only if the nominal money stock is falling. Our results are in sharp contrast to those in several prominent contributions to the literature, where deflationary bubbles are ruled out by appealing to a non-standard transversality condition, originally due to Brock ([4], [5]). This condition, which we dub the GABOR condition, states that the consumer must be indifferent between reducing his money holdings by one unit and leaving them unchanged and enjoying the discounted present value of the marginal utility of that unit of money forever. We show that the GABOR condition is not part of the necessary and sufficient conditions for household optimality nor is it sufficient to rule out deflationary bubbles. Moreover, it rules out Friedman’s optimal quantity of money equilibrium and, when the nominal money stock is falling, it rules out deflationary bubbles that are consistent with household optimality. We also consider economies with real and nominal government debt and small open economies where private agents can lend to and borrow from abroad. In these cases, deflationary bubbles may be possible, even when the nominal money stock is rising. Their existence is shown to depend on the rules governing the issuance of government debt.

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Article provided by Cambridge University Press in its journal Macroeconomic Dynamics.

Volume (Year): 11 (2007)
Issue (Month): 04 (September)
Pages: 431-454

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Handle: RePEc:cup:macdyn:v:11:y:2007:i:04:p:431-454_06
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  1. Jess Benhabib & Stephanie Schmitt-Grohe & Martin Uribe, 1999. "Monetary Policy and Multiple Equilibria," Departmental Working Papers 199914, Rutgers University, Department of Economics.
  2. 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.
  3. Peter N. Ireland, 2000. "Implementing the Friedman rule," Working Paper 0012, Federal Reserve Bank of Cleveland.
  4. 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.
  5. Ben S. Bernanke, 1983. "Non-Monetary Effects of the Financial Crisis in the Propagation of the Great Depression," NBER Working Papers 1054, National Bureau of Economic Research, Inc.
  6. Maurice Obstfeld & Kenneth S. Rogoff, 1996. "Foundations of International Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262150476.
  7. Kamihigashi, Takashi, 2001. "Necessity of Transversality Conditions for Infinite Horizon Problems," Econometrica, Econometric Society, vol. 69(4), pages 995-1012, July.
  8. 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.
  9. Matsuyama, Kiminori, 1991. "Endogenous Price Fluctuations in an Optimizing Model of a Monetary Economy," Econometrica, Econometric Society, vol. 59(6), pages 1617-31, November.
  10. Lucas, Robert E, Jr, 1980. "Equilibrium in a Pure Currency Economy," Economic Inquiry, Western Economic Association International, vol. 18(2), pages 203-20, April.
  11. 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 750-77, October.
  12. 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.
  13. Helpman, Elhanan, 1981. "An Exploration in the Theory of Exchange-Rate Regimes," Scholarly Articles 3445091, Harvard University Department of Economics.
  14. Bennett T. McCallum, 1981. "On Non-Uniqueness in Rational Expectations Models: An Attempt at Perspective," NBER Working Papers 0684, National Bureau of Economic Research, Inc.
  15. Stephen J. Turnovsky, 1997. "International Macroeconomic Dynamics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262201119.
  16. Stephen A. O'Connell & Stephen P. Zeldes, . "Rational Ponzi Games," Rodney L. White Center for Financial Research Working Papers 18-86, Wharton School Rodney L. White Center for Financial Research.
    • 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 431-50, August.
  17. Maurice Obstfeld & Kenneth Rogoff, 1982. "Speculative Hyperinflations in Maximizing Models: Can We Rule Them Out?," NBER Working Papers 0855, National Bureau of Economic Research, Inc.
  18. Froot, Kenneth A & Obstfeld, Maurice, 1991. "Intrinsic Bubbles: The Case of Stock Prices," American Economic Review, American Economic Association, vol. 81(5), pages 1189-214, December.
  19. 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.
  20. Canzoneri, Matthew B & Cumby, Robert & Diba, Behzad, 1998. "Is the Price Level Determined by the Needs of Fiscal Solvency?," CEPR Discussion Papers 1772, C.E.P.R. Discussion Papers.
  21. 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.
  22. Michel, Philippe, 1990. "Some Clarifications on the Transversality Condition," Econometrica, Econometric Society, vol. 58(3), pages 705-23, May.
  23. Schabert, Andreas, 2005. "Identifying monetary policy shocks with changes in open market operations," European Economic Review, Elsevier, vol. 49(3), pages 561-577, April.
  24. 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.
  25. 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 808-19, September.
  26. Sailesh K. Jha & Ping Wang & Chong K.Yip, 2000. "Dynamics in a Transactions-Based Monetary Growth Model," Vanderbilt University Department of Economics Working Papers 0005, Vanderbilt University Department of Economics.
  27. 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.
  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. 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.
  30. Buiter, Willem H., 2004. "Helicopter Money: Irredeemable Fiat Money and the Liquidity Trap," CEPR Discussion Papers 4202, C.E.P.R. Discussion Papers.
  31. Obstfeld, Maurice & Rogoff, Kenneth, 1986. "Ruling out divergent speculative bubbles," Journal of Monetary Economics, Elsevier, vol. 17(3), pages 349-362, May.
  32. Brock, William A., 1975. "A simple perfect foresight monetary model," Journal of Monetary Economics, Elsevier, vol. 1(2), pages 133-150, April.
  33. Jo Anna Gray, 1982. "Dynamic instability in rational expectations models: an attempt to clarify," International Finance Discussion Papers 197, Board of Governors of the Federal Reserve System (U.S.).
  34. 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.
  35. Martin L. Weitzman, 1973. "Duality Theory for Infinite Horizon Convex Models," Management Science, INFORMS, vol. 19(7), pages 783-789, March.
  36. Stephen J. Turnovsky, 2000. "Methods of Macroeconomic Dynamics, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262201232.
  37. 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.
  38. 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.
  39. Frank Hahn, 1985. "Money and Inflation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262580624.
  40. Buiter, Willem H., 2004. "A Small Corner of Intertemporal Public Finance - New Developments in Monetary Economics: Two Ghosts, Two Eccentricities, a Fallacy, a Mirage and a Mythos," CEPR Discussion Papers 4407, C.E.P.R. Discussion Papers.
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