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The Demand for Money at the Zero Interest Rate Bound

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  • Tsutomu Watanabe

    (Graduate School of Economics,University of Tokyo)

  • Tomoyoshi Yabu

    (Faculty of Business and Commerce, Keio University)

Abstract

This paper estimates a money demand function using US data from 1980 onward, including the period of near-zero interest rates following the global financial crisis. We conduct cointegration tests to show that the substantial increase in the money-income ratio during the period of near-zero interest rates is captured well by the money demand function in log-log form, but not by that in semi-log form. Our result is the opposite of the result obtained by Ireland (2009), who, using data up until 2006, found that the semi-log specification performs better. The difference in the result from Ireland (2009) mainly stems from the difference in the observation period employed: our observation period contains 24 quarters with interest rates below 1 percent, while Ireland’s (2009) observation period contains only three quarters. We also compute the welfare cost of inflation based on the estimated money demand function to find that it is very small: the welfare cost of 2 percent inflation is only 0.04 percent of national income, which is of a similar magnitude as the estimate obtained by Ireland (2009) but much smaller than the estimate by Lucas (2000).

Suggested Citation

  • Tsutomu Watanabe & Tomoyoshi Yabu, 2018. "The Demand for Money at the Zero Interest Rate Bound," Working Papers on Central Bank Communication 002, University of Tokyo, Graduate School of Economics.
  • Handle: RePEc:upd:utmpwp:002
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    References listed on IDEAS

    as
    1. Peter N. Ireland, 2009. "On the Welfare Cost of Inflation and the Recent Behavior of Money Demand," American Economic Review, American Economic Association, vol. 99(3), pages 1040-1052, June.
    2. Matteo Mogliani & Giovanni Urga, 2018. "On the Instability of Long‐Run Money Demand and the Welfare Cost of Inflation in the United States," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 50(7), pages 1645-1660, October.
    3. John Y. Campbell & Pierre Perron, 1991. "Pitfalls and Opportunities: What Macroeconomists Should Know About Unit Roots," NBER Chapters, in: NBER Macroeconomics Annual 1991, Volume 6, pages 141-220, National Bureau of Economic Research, Inc.
    4. Allan H. Meltzer, 1963. "The Demand for Money: The Evidence from the Time Series," Journal of Political Economy, University of Chicago Press, vol. 71, pages 219-219.
    5. Hoffman, Dennis L & Rasche, Robert H, 1991. "Long-Run Income and Interest Elasticities of Money Demand in the United States," The Review of Economics and Statistics, MIT Press, vol. 73(4), pages 665-674, November.
    6. Haug, Alfred A., 1996. "Tests for cointegration a Monte Carlo comparison," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 89-115.
    7. William J. Baumol, 1952. "The Transactions Demand for Cash: An Inventory Theoretic Approach," The Quarterly Journal of Economics, Oxford University Press, vol. 66(4), pages 545-556.
    8. DeJong, David N. & Nankervis, John C. & Savin, N. E. & Whiteman, Charles H., 1992. "The power problems of unit root test in time series with autoregressive errors," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 323-343.
    9. Ball, Laurence, 2001. "Another look at long-run money demand," Journal of Monetary Economics, Elsevier, vol. 47(1), pages 31-44, February.
    10. Dutkowsky, Donald H & Cynamon, Barry Z, 2003. "Sweep Programs: The Fall of M1 and Rebirth of the Medium of Exchange," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 35(2), pages 263-279, April.
    11. Gregory, Allan W. & Nason, James M. & Watt, David G., 1996. "Testing for structural breaks in cointegrated relationships," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 321-341.
    12. Rubens Penha Cysne, 2009. "Bailey's Measure of the Welfare Costs of Inflation as a General-Equilibrium Measure," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(2-3), pages 451-459, March.
    13. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 39(3), pages 106-135.
    14. Gregory, Allan W. & Hansen, Bruce E., 1996. "Residual-based tests for cointegration in models with regime shifts," Journal of Econometrics, Elsevier, vol. 70(1), pages 99-126, January.
    15. Alexander L. Wolman, 1997. "Zero inflation and the Friedman rule: a welfare comparison," Economic Quarterly, Federal Reserve Bank of Richmond, issue Fall, pages 1-21.
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    Cited by:

    1. Tsutomu Watanabe & Tomoyoshi Yabu, 2019. "How Large is the Demand for Money at the ZLB? Evidence from Japan," Working Papers on Central Bank Communication 013, University of Tokyo, Graduate School of Economics.

    More about this item

    Keywords

    money demand function; cointegration; zero lower bound; near-zero interest rates; welfare cost of inflation; log-log form; semi-log form; interest elasticity of money demand;

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E41 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Demand for Money
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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