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Cagan s Paradox Revisited

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  • 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
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    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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. repec:bla:scandj:v:93:y:1991:i:2:p:129-48 is not listed on IDEAS
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. Zhao, Liuyan, 2017. "The behavior of money demand in the Chinese hyperinflation," China Economic Review, Elsevier, vol. 42(C), pages 145-154.
    14. 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.
    15. 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..
    16. Miguel Sidrauski, 1967. "Inflation and Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 75(6), pages 796-796.
    17. 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.
    18. 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.
    19. repec:bla:econom:v:61:y:1994:i:243:p:331-43 is not listed on IDEAS
    20. 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.
    21. 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.
    22. 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.
    23. 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.
    24. Assaf Razin & Efraim Sadka (ed.), 1987. "Economic Policy in Theory and Practice," Palgrave Macmillan Books, Palgrave Macmillan, number 978-1-349-18584-9, October.
    25. Sims, Christopher A, 2002. "Solving Linear Rational Expectations Models," Computational Economics, Springer;Society for Computational Economics, vol. 20(1-2), pages 1-20, October.
    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.
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