IDEAS home Printed from https://ideas.repec.org/p/ube/dpvwib/dp1826.html
   My bibliography  Save this paper

Cagan s Paradox Revisited

Author

Listed:
  • Luca Benati

Abstract

Data from 20 hyperinflations from the French Revolution to Venezuela s 2018 episode provide nearly no evidence of a Laffer curve for seignorage. Rather, in nearly all cases, the relationship between the inflation tax and inflation has been either positive at all inflation rates, or initially positive and then flattening out towards the end of the hyperinflation. Consistent with this, econometric evidence shows that the preferred money demand specification at very high inflation rates is not Cagan s (1956) semi-log , which automatically imposes a Laffer curve upon the data: rather, it is either Meltzer s (1963) loglog for which the inflation tax is monotonically increasing in inflation or a more general functional form making log real money balances a linear function of the Box-Cox transformation of expected inflation (of which the log-log is a special case), which allows the inflation tax to flatten out at high inflation rates. My results suggest that the paradox first highlighted by Cagan of policymakers seemingly inflating in excess of the revenue-maximizing rate during hyperinflations is the product of the literature s predominant focus on the semi-log specification.

Suggested Citation

  • Luca Benati, 2018. "Cagan s Paradox Revisited," Diskussionsschriften dp1826, Universitaet Bern, Departement Volkswirtschaft.
  • Handle: RePEc:ube:dpvwib:dp1826
    as

    Download full text from publisher

    File URL: https://repec.vwiit.ch/dp/dp1826.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Anderson, Robert B & Bomberger, William A & Makinen, Gail E, 1988. "The Demand for Money, the "Reform Effect," and the Money Supply Process in Hyperinflations: The Evidence from Greece and Hungary II Reexamined," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 20(4), pages 653-672, November.
    2. Hamilton, James D, 1985. "Uncovering Financial Market Expectations of Inflation," Journal of Political Economy, University of Chicago Press, vol. 93(6), pages 1224-1241, December.
    3. Taylor, Mark P, 1991. "The Hyperinflation Model of Money Demand Revisited," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 23(3), pages 327-351, August.
    4. William J. Baumol, 1952. "The Transactions Demand for Cash: An Inventory Theoretic Approach," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 66(4), pages 545-556.
    5. Summers, Lawrence H, 1991. " The Scientific Illusion in Empirical Macroeconomics," Scandinavian Journal of Economics, Wiley Blackwell, vol. 93(2), pages 129-148.
    6. Luca Benati, 2008. "Investigating Inflation Persistence Across Monetary Regimes," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(3), pages 1005-1060.
    7. Stock, James H & Watson, Mark W, 1993. "A Simple Estimator of Cointegrating Vectors in Higher Order Integrated Systems," Econometrica, Econometric Society, vol. 61(4), pages 783-820, July.
    8. Christiano, Lawrence J, 1987. "Cagan's Model of Hyperinflation under Rational Expectations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(1), pages 33-49, February.
    9. Salemi, Michael K & Sargent, Thomas J, 1979. "The Demand for Money during Hyperinflation under Rational Expectations: II," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 20(3), pages 741-758, October.
    10. Zhao, Liuyan, 2017. "The behavior of money demand in the Chinese hyperinflation," China Economic Review, Elsevier, vol. 42(C), pages 145-154.
    11. Sargent, Thomas J & Wallace, Neil, 1973. "Rational Expectations and the Dynamics of Hyperinflation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(2), pages 328-350, June.
    12. Barro, Robert J, 1970. "Inflation, the Payments Period, and the Demand for Money," Journal of Political Economy, University of Chicago Press, vol. 78(6), pages 1228-1263, Nov.-Dec..
    13. Zhao, Liuyan & Li, Lianfa, 2015. "Interest rate, money demand and seigniorage: The Chinese hyperinflation 1946–1949," China Economic Review, Elsevier, vol. 34(C), pages 169-179.
    14. Michael, P & Nobay, A R & Peel, D A, 1994. "The German Hyperinflation and the Demand for Money Revisited," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(1), pages 1-22, February.
    15. Sims, Christopher A, 2002. "Solving Linear Rational Expectations Models," Computational Economics, Springer;Society for Computational Economics, vol. 20(1-2), pages 1-20, October.
    16. Petrovic, Pavle & Mladenovic, Zorica, 2000. "Money Demand and Exchange Rate Determination under Hyperinflation: Conceptual Issues and Evidence from Yugoslavia," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 32(4), pages 785-806, November.
    17. Allan H. Meltzer, 1963. "The Demand for Money: The Evidence from the Time Series," Journal of Political Economy, University of Chicago Press, vol. 71(3), pages 219-219.
    18. Tara McIndoe-Calder, 2018. "Hyperinflation in Zimbabwe: money demand, seigniorage and aid shocks," Applied Economics, Taylor & Francis Journals, vol. 50(15), pages 1659-1675, March.
    19. Miguel Sidrauski, 1967. "Inflation and Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 75(6), pages 796-796.
    20. Burmeister, Edwin & Wall, Kent D., 1982. "Kalman filtering estimation of unobserved rational expectations with an application to the German hyperinflation," Journal of Econometrics, Elsevier, vol. 20(2), pages 255-284, November.
    21. Engsted, Tom, 1994. "The Classic European Hyperinflations Revisited: Testing the Cagan Model Using a Cointegrated VAR Approach," Economica, London School of Economics and Political Science, vol. 61(243), pages 331-343, August.
    22. Soren Johansen, 2002. "A Small Sample Correction for the Test of Cointegrating Rank in the Vector Autoregressive Model," Econometrica, Econometric Society, vol. 70(5), pages 1929-1961, September.
    23. Flood, Robert P & Garber, Peter M, 1980. "Market Fundamentals versus Price-Level Bubbles: The First Tests," Journal of Political Economy, University of Chicago Press, vol. 88(4), pages 745-770, August.
    24. Petrovic, Pavle & Vujosevic, Zorica, 1996. "The monetary dynamics in the Yugoslav hyperinflation of 1991-1993: The Cagan money demand," European Journal of Political Economy, Elsevier, vol. 12(3), pages 467-483, November.
    25. Assaf Razin & Efraim Sadka (ed.), 1987. "Economic Policy in Theory and Practice," Palgrave Macmillan Books, Palgrave Macmillan, number 978-1-349-18584-9.
    26. Giuseppe Cavaliere & Anders Rahbek & A. M. Robert Taylor, 2012. "Bootstrap Determination of the Co‐Integration Rank in Vector Autoregressive Models," Econometrica, Econometric Society, vol. 80(4), pages 1721-1740, July.
    Full references (including those not matched with items on IDEAS)

    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. Topal, yavuz Han, 2013. "On the tracks of Zimbabwe’s Hyperinflation: A Quantitative Investigation," MPRA Paper 56117, University Library of Munich, Germany.
    2. Dimitris Georgoutsos & George Kouretas, 2000. "A Multivariate I(2) Cointegration Analysis Of German Hyperinflation," Working Papers 0001, University of Crete, Department of Economics, revised 00 Jul 2001.
    3. Benati, Luca & Lucas, Robert E. & Nicolini, Juan Pablo & Weber, Warren, 2021. "International evidence on long-run money demand," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 43-63.
    4. Engsted, Tom, 1998. "Money Demand During Hyperinflation: Cointegration, Rational Expectations, and the Importance of Money Demand Shocks," Journal of Macroeconomics, Elsevier, vol. 20(3), pages 533-552, July.
    5. Zorica Mladenovic & Bent Nielsen, 2009. "The role of income in money demand during hyper-inflation: the case of Yugoslavia," Economics Papers 2009-W02, Economics Group, Nuffield College, University of Oxford.
    6. Miller, Stephen Matteo & Ndhlela, Thandinkosi, 2020. "Money demand and seignorage maximization before the end of the Zimbabwean dollar," Journal of Macroeconomics, Elsevier, vol. 63(C).
    7. Mladenovic, Zorica & Petrovic, Pavle, 2010. "Cagan's paradox and money demand in hyperinflation: Revisited at daily frequency," Journal of International Money and Finance, Elsevier, vol. 29(7), pages 1369-1384, November.
    8. Luca Benati & Robert E. Lucas & Juan Pablo Nicolini & Warren E. Weber, 2017. "Online Appendix for: International Evidence on Long-Run Money Demand," Working Papers 738, Federal Reserve Bank of Minneapolis.
    9. Ruge-Murcia, Francisco J., 1999. "Government expenditure and the dynamics of high inflation," Journal of Development Economics, Elsevier, vol. 58(2), pages 333-358, April.
    10. Nielsen, Bent, 2008. "On the Explosive Nature of Hyper-Inflation Data," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 2, pages 1-29.
    11. Hartwell, Christopher A & Szybisz, Martin Andres, 2021. "Corralling Expectations: The Role of Institutions in (Hyper)Inflation," MPRA Paper 105612, University Library of Munich, Germany.
    12. Benati, Luca, 2020. "Money velocity and the natural rate of interest," Journal of Monetary Economics, Elsevier, vol. 116(C), pages 117-134.
    13. Tourinho, Octávio A. F ., 1997. "The Demand and Supply of Money Under High Inflation: Brazil 1974-1994," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 17(2), November.
    14. Rolando Gonzales Martínez, 2013. "Modeling Hyperinflation Phenomenon: A Bayesian Approach," Documentos de Investigación - Research Papers 8, CEMLA.
    15. RUGE-MURCIA, Francisco J., 1997. "Credibility and Signaling in Disinflation- a Cross Country Examination," Cahiers de recherche 9712, Universite de Montreal, Departement de sciences economiques.
    16. Choudhry, T., 1998. "Another visit to the Cagan model of money demand: the latest Russian experience," Journal of International Money and Finance, Elsevier, vol. 17(2), pages 355-376, April.
    17. Luca Benati & Juan-Pablo Nicolini, 2019. "The Welfare Costs of Inflation," Diskussionsschriften dp1911, Universitaet Bern, Departement Volkswirtschaft.
    18. Atanas Christev, 2005. "The Hyperinflation Model of Money Demand (or Cagan Revisited): Some New Empirical Evidence from the 1990s," CERT Discussion Papers 0507, Centre for Economic Reform and Transformation, Heriot Watt University.
    19. Zhao, Liuyan, 2017. "The behavior of money demand in the Chinese hyperinflation," China Economic Review, Elsevier, vol. 42(C), pages 145-154.
    20. Mark A. Hooker, 1997. "Misspecification versus bubbles in hyperinflation data: Monte Carlo and interwar European evidence," Finance and Economics Discussion Series 1997-49, Board of Governors of the Federal Reserve System (U.S.).

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:ube:dpvwib:dp1826. 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: Franz Koelliker (email available below). General contact details of provider: https://edirc.repec.org/data/vwibech.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.