IDEAS home Printed from https://ideas.repec.org/p/ehl/lserod/3323.html
   My bibliography  Save this paper

Deflationary bubbles

Author

Listed:
  • Buiter, Willem H.
  • Sibert, Anne C.

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 de‡flationary bubbles can and cannot exist. Our …findings are in contrast to the results in several prominent contributions to the literature. We argue for particular speci…cations 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 de‡flationary bubbles can and cannot occur. This result differs from that in other recent works.

Suggested Citation

  • Buiter, Willem H. & Sibert, Anne C., 2007. "Deflationary bubbles," LSE Research Online Documents on Economics 3323, London School of Economics and Political Science, LSE Library.
  • Handle: RePEc:ehl:lserod:3323
    as

    Download full text from publisher

    File URL: http://eprints.lse.ac.uk/3323/
    File Function: Open access version.
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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. Stephen J. Turnovsky, 1997. "International Macroeconomic Dynamics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262201119, April.
    5. Maurice Obstfeld & Kenneth S. Rogoff, 1996. "Foundations of International Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262150476, April.
    6. 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.
    7. Brock, William A., 1975. "A simple perfect foresight monetary model," Journal of Monetary Economics, Elsevier, vol. 1(2), pages 133-150, April.
    8. 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.
    9. 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.
    10. Green, Jerry R. & Scheinkman, Josè Alexandre (ed.), 1979. "General Equilibrium, Growth, and Trade," Elsevier Monographs, Elsevier, edition 1, number 9780122987502.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. Matsuyama, Kiminori, 1991. "Endogenous Price Fluctuations in an Optimizing Model of a Monetary Economy," Econometrica, Econometric Society, vol. 59(6), pages 1617-1631, November.
    18. 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.
    19. 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.
    20. 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.
    21. 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.
    22. 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.
    23. 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.
    24. Obstfeld, Maurice & Rogoff, Kenneth, 1986. "Ruling out divergent speculative bubbles," Journal of Monetary Economics, Elsevier, vol. 17(3), pages 349-362, May.
    25. 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.
    26. 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.
    27. 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.
    28. 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.
    29. Schabert, Andreas, 2005. "Identifying monetary policy shocks with changes in open market operations," European Economic Review, Elsevier, vol. 49(3), pages 561-577, April.
    30. 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.
    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. 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.
    33. Lucas, Robert E, Jr, 1980. "Equilibrium in a Pure Currency Economy," Economic Inquiry, Western Economic Association International, vol. 18(2), pages 203-220, April.
    34. 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.
    35. 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.
    36. 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.
    37. Michel, Philippe, 1990. "Some Clarifications on the Transversality Condition," Econometrica, Econometric Society, vol. 58(3), pages 705-723, May.
    38. John J. McCall, 1982. "The Economics of Information and Uncertainty," NBER Books, National Bureau of Economic Research, Inc, number mcca82-1.
    39. Frank Hahn, 1985. "Money and Inflation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262580624, April.
    40. 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.
    41. Stephen J. Turnovsky, 2000. "Methods of Macroeconomic Dynamics, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262201232, April.
    42. 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.
    43. Kamihigashi, Takashi, 2001. "Necessity of Transversality Conditions for Infinite Horizon Problems," Econometrica, Econometric Society, vol. 69(4), pages 995-1012, July.
    44. 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.
    45. 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.
    46. 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.
    47. 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.
    48. Willem H. Buiter, 2003. "Helicopter Money: Irredeemable Fiat Money and the Liquidity Trap," NBER Working Papers 10163, National Bureau of Economic Research, Inc.
    49. Martin L. Weitzman, 1973. "Duality Theory for Infinite Horizon Convex Models," Management Science, INFORMS, vol. 19(7), pages 783-789, March.
    50. 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.
    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


    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. 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.
    3. Buiter, Willem, 2017. "The Good and the Bad Fiscal Theory of the Price Level," CEPR Discussion Papers 11975, C.E.P.R. Discussion Papers.
    4. 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.
    5. Willem Buiter, 2007. "Is Numérairology the Future of Monetary Economics?," Open Economies Review, Springer, vol. 18(2), pages 127-156, April.
    6. 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.
    7. 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.
    8. 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.
    9. Willem H. Buiter, 2003. "Helicopter Money: Irredeemable Fiat Money and the Liquidity Trap," NBER Working Papers 10163, National Bureau of Economic Research, Inc.
    10. Zhou, Ge, 2011. "Rational bubbles and the spirit of capitalism," MPRA Paper 33988, University Library of Munich, Germany.
    11. 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.
    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Willem H. Buiter, 2003. "Helicopter Money: Irredeemable Fiat Money and the Liquidity Trap," NBER Working Papers 10163, National Bureau of Economic Research, Inc.
    2. Piersanti, Giovanni, 2012. "The Macroeconomic Theory of Exchange Rate Crises," OUP Catalogue, Oxford University Press, number 9780199653126.
    3. Philip Arestis & Alexander Mihailov, 2011. "Classifying Monetary Economics: Fields And Methods From Past To Future," Journal of Economic Surveys, Wiley Blackwell, vol. 25(4), pages 769-800, September.
    4. Dupor, Bill, 2001. "Ruling out pareto dominated monetary equilibria," Journal of Economic Dynamics and Control, Elsevier, vol. 25(12), pages 1899-1910, December.
    5. Ravi Kashyap, 2016. "Solving the Equity Risk Premium Puzzle and Inching Towards a Theory of Everything," Papers 1604.04872, arXiv.org, revised Sep 2019.
    6. Peter N. Ireland, 2005. "The Liquidity Trap, The Real Balance Effect, And The Friedman Rule ," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(4), pages 1271-1301, November.
    7. Willem Buiter, 2000. "The Fallacy of the Fiscal Theory of the Price Level, Again," CESifo Working Paper Series 303, CESifo.
    8. Willem H. Buiter, 1999. "The Fallacy of the Fiscal Theory of the Price Level," NBER Working Papers 7302, National Bureau of Economic Research, Inc.
    9. Peter N. Ireland, 2001. "The Real Balance Effect," Boston College Working Papers in Economics 491, Boston College Department of Economics.
    10. Jakob Korbinian Eberl, 2016. "The Collateral Framework of the Eurosystem and Its Fiscal Implications," ifo Beiträge zur Wirtschaftsforschung, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, number 69.
    11. Chadha, J.S. & Nolan, C., 2003. "On the Interaction of Monetary and Fiscal Policy," Cambridge Working Papers in Economics 0303, Faculty of Economics, University of Cambridge.
    12. Harashima, Taiji, 2006. "The Sustainability of Budget Deficits in an Inflationary Economy," MPRA Paper 905, University Library of Munich, Germany.
    13. Bajo-Rubio, Oscar & Díaz-Roldán, Carmen & Esteve, Vicente, 2014. "Deficit sustainability, and monetary versus fiscal dominance: The case of Spain, 1850–2000," Journal of Policy Modeling, Elsevier, vol. 36(5), pages 924-937.
    14. 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.
    15. Alstadheim Ragna & Henderson Dale W., 2006. "Price-Level Determinacy, Lower Bounds on the Nominal Interest Rate, and Liquidity Traps," The B.E. Journal of Macroeconomics, De Gruyter, vol. 6(1), pages 1-27, November.
    16. Schabert, Andreas & Stoltenberg, Christian, 2005. "Money Demand and Macroeconomic Stability Revisited," CEPR Discussion Papers 4974, C.E.P.R. Discussion Papers.
    17. Marco Airaudo, 2017. "Complex stock price dynamics under Max Weber’s spirit of capitalism hypothesis," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(1), pages 47-73, June.
    18. Charles T. Carlstrom & Timothy S. Fuerst, 2003. "Money Growth Rules and Price Level Determinacy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(2), pages 263-275, April.
    19. Kamihigashi, Takashi, 2005. "Necessity of the transversality condition for stochastic models with bounded or CRRA utility," Journal of Economic Dynamics and Control, Elsevier, vol. 29(8), pages 1313-1329, August.
    20. Maurice Obstfeld & Kenneth Rogoff, 2021. "Revisiting speculative hyperinflations in monetary models," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 40, pages 1-11, April.

    More about this item

    Keywords

    deflationary bubbles; optimizing monetary models; transversality conditions; intertemporal budget constraint;
    All these keywords.

    JEL classification:

    • E63 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Comparative or Joint Analysis of Fiscal and Monetary Policy; Stabilization; Treasury Policy
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ehl:lserod:3323. See general information about how to correct material in RePEc.

    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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: LSERO Manager (email available below). General contact details of provider: https://edirc.repec.org/data/lsepsuk.html .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.