Advanced Search
MyIDEAS: Login

Deflationary Bubbles

Contents:

Author Info

  • Buiter, Willem H
  • Sibert, Anne

Abstract

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.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://www.cepr.org/pubs/dps/DP4528.asp
Download Restriction: CEPR Discussion Papers are free to download for our researchers, subscribers and members. If you fall into one of these categories but have trouble downloading our papers, please contact us at subscribers@cepr.org

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Bibliographic Info

Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 4528.

as in new window
Length:
Date of creation: Aug 2004
Date of revision:
Handle: RePEc:cpr:ceprdp:4528

Contact details of provider:
Postal: Centre for Economic Policy Research, 77 Bastwick Street, London EC1V 3PZ.
Phone: 44 - 20 - 7183 8801
Fax: 44 - 20 - 7183 8820

Order Information:
Email:

Related research

Keywords: fiscal rules; government solvency; optimal quantity of money; transversality condition;

Other versions of this item:

Find related papers by JEL classification:

This paper has been announced in the following NEP Reports:

References

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.:
as in new window
  1. Kenneth A. Froot & Maurice Obstfeld, 1989. "Intrinsic Bubbles: The Case of Stock Prices," NBER Working Papers 3091, National Bureau of Economic Research, Inc.
  2. Lucas, Robert E, Jr, 1980. "Equilibrium in a Pure Currency Economy," Economic Inquiry, Western Economic Association International, vol. 18(2), pages 203-20, April.
  3. James D. Hamilton & Marjorie A. Flavin, 1985. "On the Limitations of Government Borrowing: A Framework for Empirical Testing," NBER Working Papers 1632, National Bureau of Economic Research, Inc.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. Buiter, Willem H, 2004. "Helicopter Money: Irredeemable Fiat Money and the Liquidity Trap," CEPR Discussion Papers 4202, C.E.P.R. Discussion Papers.
  9. 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 257-76, June.
  10. Matsuyama, Kiminori, 1991. "Endogenous Price Fluctuations in an Optimizing Model of a Monetary Economy," Econometrica, Econometric Society, vol. 59(6), pages 1617-31, November.
  11. Peter N. Ireland, 2000. "Implementing the Friedman Rule," Boston College Working Papers in Economics 460, Boston College Department of Economics.
  12. Obstfeld, Maurice & Rogoff, Kenneth, 1986. "Ruling out divergent speculative bubbles," Journal of Monetary Economics, Elsevier, vol. 17(3), pages 349-362, May.
  13. 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.
  14. Michel, Philippe, 1990. "Some Clarifications on the Transversality Condition," Econometrica, Econometric Society, vol. 58(3), pages 705-23, May.
  15. 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.
  16. Stephen J. Turnovsky, 1997. "International Macroeconomic Dynamics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262201119, December.
  17. Takashi Kamihigashi, 2000. "A simple proof of Ekeland and Scheinkman's result on the necessity of a transversality condition," Economic Theory, Springer, vol. 15(2), pages 463-468.
  18. 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.).
  19. Maurice Obstfeld & Kenneth S. Rogoff, 1996. "Foundations of International Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262150476, December.
  20. Helpman, Elhanan, 1981. "An Exploration in the Theory of Exchange-Rate Regimes," Scholarly Articles 3445091, Harvard University Department of Economics.
  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 431-50, August.
  22. Bennett T. McCallum, 1998. "Indeterminacy, Bubbles, and the Fiscal Theory of Price Level Determination," NBER Working Papers 6456, National Bureau of Economic Research, Inc.
  23. Stephen J. Turnovsky, 2000. "Methods of Macroeconomic Dynamics, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262201232, December.
  24. 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 675-87, August.
  25. 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.
  26. 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.
  27. 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.
  28. 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.
  29. 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.
  30. Kamihigashi, Takashi, 2001. "Necessity of Transversality Conditions for Infinite Horizon Problems," Econometrica, Econometric Society, vol. 69(4), pages 995-1012, July.
  31. 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.
  32. Schabert, Andreas, 2005. "Identifying monetary policy shocks with changes in open market operations," European Economic Review, Elsevier, vol. 49(3), pages 561-577, April.
  33. 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.
  34. Martin L. Weitzman, 1973. "Duality Theory for Infinite Horizon Convex Models," Management Science, INFORMS, vol. 19(7), pages 783-789, March.
  35. 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.
  36. Brock, William A., 1975. "A simple perfect foresight monetary model," Journal of Monetary Economics, Elsevier, vol. 1(2), pages 133-150, April.
  37. Frank Hahn, 1985. "Money and Inflation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262580624, December.
  38. 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.
Full references (including those not matched with items on IDEAS)

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. Óscar J. Arce, 2005. "Reflections on fiscalist divergent price-paths," Banco de Espa�a Working Papers 0533, Banco de Espa�a.
  2. Buiter, Willem H, 2004. "The Elusive Welfare Economics of Price Stability As A Monetary Policy Objective: Should New Keynesian Central Bankers Persue Price Stability," CEPR Discussion Papers 4730, C.E.P.R. Discussion Papers.
  3. Buiter, Willem H, 2007. "Is Numérairology the Future of Monetary Economics? Unbundling Numéraire and Medium of Exchange Through a Virtual Currency and a Shadow Exchange Rate," CEPR Discussion Papers 6099, C.E.P.R. Discussion Papers.
  4. Buiter, Willem H, 2004. "Helicopter Money: Irredeemable Fiat Money and the Liquidity Trap," CEPR Discussion Papers 4202, C.E.P.R. Discussion Papers.
  5. Buiter, Willem H., 2009. "Negative Nominal Interest Rates: Three ways to overcome the zero lower bound," CEPR Discussion Papers 7346, C.E.P.R. Discussion Papers.
  6. Ulrich van Suntum & Metin Kaptan & Cordelius Ilgmann, . "Reducing the lower bound on market interest rates," Working Papers 200103, Institute of Spatial and Housing Economics, Munster Universitary.
  7. Willem Buiter, 2007. "Is Numérairology the Future of Monetary Economics?," Open Economies Review, Springer, vol. 18(2), pages 127-156, April.
  8. 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 0609, European Central Bank.
  9. Zhou, Ge, 2011. "Rational bubbles and the spirit of capitalism," MPRA Paper 33988, University Library of Munich, Germany.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:cpr:ceprdp:4528. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ().

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.