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The Simple Macroeconometrics of the Quantity Theory And the Welfare Cost of Inflation

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Abstract

The quantity theory of money hypothesizes that the price level is determined through the equilibration of money supply and demand. Predicated on this causal structure, a single-equation error correction model decomposes from a larger vector autoregressive system so as to make available bounds tests for a levels relationship that are robust to the univariate integration properties of the variables. This model is estimated using three alternative money stock measures and three standard specifications for money demand. The hypothesis of a long run relationship between the levels of money, prices, and income is generally supported by a century of U.S.\ data. Across this range of models and aggregates, the classic quantity theory proposition of one-for-one associations between prices and each of money and income is best satisfied when M2 is the monetary aggregate. Based on a preferred model in which money demand is loglinear in the rate of interest, and with structural change treated by indicator saturation, the welfare cost of inflation is estimated to have ranged between 0.362 and 1.326 percent of national income at interest rates experienced by the United States during the past century.

Suggested Citation

  • Kenneth G. Stewart, 2023. "The Simple Macroeconometrics of the Quantity Theory And the Welfare Cost of Inflation," Department Discussion Papers 2301, Department of Economics, University of Victoria.
  • Handle: RePEc:vic:vicddp:2023
    Note: ISSN 1914-2838 JEL Classifications: E31, E4
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    1. Pesaran, M. Hashem & Shin, Yongcheol & Smith, Richard J., 2000. "Structural analysis of vector error correction models with exogenous I(1) variables," Journal of Econometrics, Elsevier, vol. 97(2), pages 293-343, August.
    2. 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.
    3. Òscar Jordà & Moritz Schularick & Alan M. Taylor, 2017. "Macrofinancial History and the New Business Cycle Facts," NBER Macroeconomics Annual, University of Chicago Press, vol. 31(1), pages 213-263.
    4. 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.
    5. Robert E. Lucas, 2001. "Inflation and Welfare," International Economic Association Series, in: Axel Leijonhufvud (ed.), Monetary Theory as a Basis for Monetary Policy, chapter 4, pages 96-142, Palgrave Macmillan.
    6. Hendrickson, Joshua R., 2014. "Redundancy Or Mismeasurement? A Reappraisal Of Money," Macroeconomic Dynamics, Cambridge University Press, vol. 18(7), pages 1437-1465, October.
    7. 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.
    8. William A. Barnett, 2000. "Economic Monetary Aggregates: An Application of Index Number and Aggregation Theory," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 11-48, Emerald Group Publishing Limited.
    9. Ball, Laurence, 2001. "Another look at long-run money demand," Journal of Monetary Economics, Elsevier, vol. 47(1), pages 31-44, February.
    10. 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.
    11. M. Hashem Pesaran & Yongcheol Shin & Richard J. Smith, 2001. "Bounds testing approaches to the analysis of level relationships," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(3), pages 289-326.
    12. Kenneth S. Rogoff & Barbara Rossi & Paul Schmelzing, 2022. "Long-Run Trends in Long-Maturity Real Rates 1311-2021," NBER Working Papers 30475, National Bureau of Economic Research, Inc.
    13. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-836, July.
    14. Hoffman, Dennis L. & Rasche, Robert H. & Tieslau, Margie A., 1995. "The stability of long-run money demand in five industrial countries," Journal of Monetary Economics, Elsevier, vol. 35(2), pages 317-339, April.
    15. Serletis, Apostolos & Yavari, Kazem, 2004. "The welfare cost of inflation in Canada and the United States," Economics Letters, Elsevier, vol. 84(2), pages 199-204, August.
    16. Jennifer L. Castle & Jurgen A. Doornik & David F. Hendry & Felix Pretis, 2015. "Detecting Location Shifts during Model Selection by Step-Indicator Saturation," Econometrics, MDPI, vol. 3(2), pages 1-25, April.
    17. Benati, Luca, 2020. "Money velocity and the natural rate of interest," Journal of Monetary Economics, Elsevier, vol. 116(C), pages 117-134.
    18. 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

    quantity theory of money; money demand; bounds tests; indicator saturation; welfare cost of inflation;
    All these keywords.

    JEL classification:

    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates

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