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Velocity of Money and Productivity Growth: Explaining the 2% Inflation Target in the U.S. (1959–2007)

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  • Christophe Faugere

    (Department of Economics and Finance, Kedge Business School, 680 Cours de la Libération, 33405 Talence, France)

Abstract

This article provides a macro-foundation for why the specific value of 2% is a valid inflation target. The approach postulates that innovations generate transactional cost savings by comparison to barter. The optimal velocity of money is derived as a function of productivity growth and of long-term and short-term interest rates, with coefficients reflecting the leverage ratio of depository institutions and the degree of bias in technical progress in the transaction technology. The model is tested for the U.S. (for aggregates M1, M1RS, and M1S) over the period 1959–2007. Setting the inflation target rate equal to the growth rate of velocity leads to an inflation rate near 2% and is akin to pursuing the Friedman k-% rule. This rule provides flexibility to prevent deflation. A long-term Taylor-type rule is derived. A robustness test is also conducted by extending the sample period up to 2023, covering sustained episodes of unconventional U.S. monetary policy.

Suggested Citation

  • Christophe Faugere, 2024. "Velocity of Money and Productivity Growth: Explaining the 2% Inflation Target in the U.S. (1959–2007)," IJFS, MDPI, vol. 12(1), pages 1-34, February.
    • Handle: RePEc:gam:jijfss:v:12:y:2024:i:1:p:15-:d:1335705
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    References listed on IDEAS

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    1. Hodrick, Robert J & Kocherlakota, Narayana R & Lucas, Deborah, 1991. "The Variability of Velocity in Cash-in-Advance Models," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 358-384, April.
    2. Ireland, Peter N, 1995. "Endogenous Financial Innovation and the Demand for Money," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(1), pages 107-123, February.
    3. Michael Dotsey, 1984. "An investigation of cash management practices and their effects on the demand for money," Economic Review, Federal Reserve Bank of Richmond, vol. 70(Sep), pages 3-12.
    4. Marvin Goodfriend, 2004. "Monetary policy in the new neoclassical synthesis : a primer," Economic Quarterly, Federal Reserve Bank of Richmond, vol. 90(Sum), pages 21-45.
    5. Mulligan, Casey B & Sala-I-Martin, Xavier X, 1997. "The Optimum Quantity of Money: Theory and Evidence," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(4), pages 687-715, November.
    6. Carlson, John B. & Hoffman, Dennis L. & Keen, Benjamin D. & Rasche, Robert H., 2000. "Results of a study of the stability of cointegrating relations comprised of broad monetary aggregates," Journal of Monetary Economics, Elsevier, vol. 46(2), pages 345-383, October.
    7. Christophe, Faugere, 2003. "A Required Yield Theory of Stock Market Valuation and Treasury Yield Determination," MPRA Paper 15579, University Library of Munich, Germany, revised 04 Jun 2009.
    8. King, Robert G. & Plosser, Charles I. & Stock, James H. & Watson, Mark W., 1991. "Stochastic Trends and Economic Fluctuations," American Economic Review, American Economic Association, vol. 81(4), pages 819-840, September.
    9. Ireland, Peter N, 1994. "Money and Growth: An Alternative Approach," American Economic Review, American Economic Association, vol. 84(1), pages 47-65, March.
    10. Orlowski, Lucjan T., 2015. "Monetary expansion and bank credit: A lack of spark," Journal of Policy Modeling, Elsevier, vol. 37(3), pages 510-520.
    11. Mr. Subramanian S Sriram, 1999. "Survey of Literature on Demand for Money: Theoretical and Empirical Work with Special Reference to Error-Correction Models," IMF Working Papers 1999/064, International Monetary Fund.
    12. John B. Taylor, 1999. "A Historical Analysis of Monetary Policy Rules," NBER Chapters, in: Monetary Policy Rules, pages 319-348, National Bureau of Economic Research, Inc.
    13. Ritter, Joseph A, 1995. "The Transition from Barter to Fiat Money," American Economic Review, American Economic Association, vol. 85(1), pages 134-149, March.
    14. Boragan Aruoba, S. & Rocheteau, Guillaume & Waller, Christopher, 2007. "Bargaining and the value of money," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2636-2655, November.
    15. Kiyotaki, Nobuhiro & Wright, Randall, 1993. "A Search-Theoretic Approach to Monetary Economics," American Economic Review, American Economic Association, vol. 83(1), pages 63-77, March.
    16. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501.
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    More about this item

    Keywords

    inflation target; velocity of narrow money; M1; M1RS; M1S; real GDP per capita growth; barter; financial leverage;
    All these keywords.

    JEL classification:

    • M1 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Administration

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