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The Optimum Quantity of Money: Theory and Evidence

Author

Listed:
  • Mulligan, Casey B
  • Sala-I-Martin, Xavier X
Abstract
The authors' model for computing the Ramsey optimal inflation tax includes several models from the previous literature as special cases. The model highlights the various assumptions in that literature that have led to such different results, assumptions that relate to the interest and scale elasticities of money demand and how they vary with the interest rate, whether money is required to pay taxes, and the nature of transactions when interest rates are very low. Calibrating the model to a variety of empirical studies yields an optimal nominal interest rate of less than 1 percent per year, although that finding is sensitive to the calibration. Copyright 1997 by Ohio State University Press.

Suggested Citation

  • 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.
    • Handle: RePEc:mcb:jmoncb:v:29:y:1997:i:4:p:687-715
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    References listed on IDEAS

    as
    1. Casey B. Mulligan, "undated". "The Intertemporal Substitution of Work--What Does the Evidence Say?," University of Chicago - Population Research Center 95-11, Chicago - Population Research Center.
    2. 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.
    3. Barro, Robert J. & Gordon, David B., 1983. "Rules, discretion and reputation in a model of monetary policy," Journal of Monetary Economics, Elsevier, vol. 12(1), pages 101-121.
    4. Chari, V. V. & Christiano, Lawrence J. & Kehoe, Patrick J., 1996. "Optimality of the Friedman rule in economies with distorting taxes," Journal of Monetary Economics, Elsevier, vol. 37(2-3), pages 203-223, April.
    5. Kimbrough, Kent P., 1986. "The optimum quantity of money rule in the theory of public finance," Journal of Monetary Economics, Elsevier, vol. 18(3), pages 277-284, November.
    6. Milton Friedman, 1959. "The Demand for Money: Some Theoretical and Empirical Results," NBER Chapters, in: The Demand for Money: Some Theoretical and Empirical Results, pages 1-29, National Bureau of Economic Research, Inc.
    7. Lucas, Robert E., 1988. "Money demand in the United States: A quantitative review," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 29(1), pages 137-167, January.
    8. 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.
    9. Feenstra, Robert C., 1986. "Functional equivalence between liquidity costs and the utility of money," Journal of Monetary Economics, Elsevier, vol. 17(2), pages 271-291, March.
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    12. Jacob Mincer, 1962. "Labor Force Participation of Married Women: A Study of Labor Supply," NBER Chapters, in: Aspects of Labor Economics, pages 63-105, National Bureau of Economic Research, Inc.
    13. Diamond, Peter A & Mirrlees, James A, 1971. "Optimal Taxation and Public Production: I--Production Efficiency," American Economic Review, American Economic Association, vol. 61(1), pages 8-27, March.
    14. Robert B. Avery & Gregory E. Elliehausen & Arthur B. Kennickell & Paul A. Spindt, 1986. "The use of cash and transaction accounts by American families," Federal Reserve Bulletin, Board of Governors of the Federal Reserve System (U.S.), issue Feb, pages 87-108.
    15. Lucas, Robert Jr. & Stokey, Nancy L., 1983. "Optimal fiscal and monetary policy in an economy without capital," Journal of Monetary Economics, Elsevier, vol. 12(1), pages 55-93.
    16. Casey B. Mulligan, "undated". "The Demand for Money by Firms: Some Additional Empirical Results," University of Chicago - Population Research Center 97-1, Chicago - Population Research Center.
    17. Karni, Edi, 1974. "The Value of Time and the Demand for Money," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 6(1), pages 45-64, February.
    18. Martin S. Feldstein, 1997. "The Costs and Benefits of Going from Low Inflation to Price Stability," NBER Chapters, in: Reducing Inflation: Motivation and Strategy, pages 123-166, National Bureau of Economic Research, Inc.
    19. Braun, R. Anton, 1994. "How large is the optimal inflation tax?," Journal of Monetary Economics, Elsevier, vol. 34(2), pages 201-214, October.
    20. Guidotti, Pablo E. & Vegh, Carlos A., 1993. "The optimal inflation tax when money reduces transactions costs : A reconsideration," Journal of Monetary Economics, Elsevier, vol. 31(2), pages 189-205, April.
    21. Milton Friedman & Anna J. Schwartz, 1982. "Monetary Trends in the United States and United Kingdom: Their Relation to Income, Prices, and Interest Rates, 1867–1975," NBER Books, National Bureau of Economic Research, Inc, number frie82-2.
    22. Woodford, Michael, 1990. "The optimum quantity of money," Handbook of Monetary Economics, in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 2, chapter 20, pages 1067-1152, Elsevier.
    23. Allan H. Meltzer, 1963. "The Demand for Money: A Cross-Section Study of Business Firms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 77(3), pages 405-422.
    24. Lucas, Robert E, Jr & Stokey, Nancy L, 1987. "Money and Interest in a Cash-in-Advance Economy," Econometrica, Econometric Society, vol. 55(3), pages 491-513, May.
    25. King, Robert G., 1988. "Money demand in the United States: A quantitative review," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 29(1), pages 169-172, January.
    26. Karni, Edi, 1973. "The Transactions Demand for Cash: Incorporation of the Value of Time into the Inventory Approach," Journal of Political Economy, University of Chicago Press, vol. 81(5), pages 1216-1225, Sept.-Oct.
    27. Peter A. Diamond & J. A. Mirrlees, 1968. "Optimal Taxation and Public Production," Working papers 22, Massachusetts Institute of Technology (MIT), Department of Economics.
    28. Mroz, Thomas A, 1987. "The Sensitivity of an Empirical Model of Married Women's Hours of Work to Economic and Statistical Assumptions," Econometrica, Econometric Society, vol. 55(4), pages 765-799, July.
    29. Casey B. Mulligan & Xavier Sala-I-Martin, 1992. "U.S. Money Demand: Surprising Cross-Sectional Estimates," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 23(2), pages 285-343.
    30. Diamond, Peter A & Mirrlees, James A, 1971. "Optimal Taxation and Public Production II: Tax Rules," American Economic Review, American Economic Association, vol. 61(3), pages 261-278, June.
    31. Casey B. Mulligan & Xavier Sala-i-Martin, 1995. "Adoption of financial technologies: Implications for money demand and monetary policy," Economics Working Papers 134, Department of Economics and Business, Universitat Pompeu Fabra.
    32. Mulligan, Casey B, 1997. "Scale Economies, the Value of Time, and the Demand for Money: Longitudinal Evidence from Firms," Journal of Political Economy, University of Chicago Press, vol. 105(5), pages 1061-1079, October.
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    More about this item

    JEL classification:

    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E61 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Policy Objectives; Policy Designs and Consistency; Policy Coordination
    • E63 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Comparative or Joint Analysis of Fiscal and Monetary Policy; Stabilization; Treasury Policy

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