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The Discounted Economic Stock of Money with VAR Forecasting

Author

Listed:
  • William Barnett

    (University of Kansas)

  • Unja Chae

    (University of Kansas)

  • John Keating

    (University of Kansas)

Abstract

We measure the United States capital stock of money implied by the Divisia monetary aggregate service flow, in a manner consistent with the present-value model of economic capital stock. We permit non-martingale expectations and time varying discount rates. Based on Barnett’s (1991) definition of the economic stock of money, we compute the U.S. economic stock of money by discounting to present value the flow of expected expenditure on the services of monetary assets, where expenditure on monetary services is evaluated at the user costs of the monetary components. As a theoretically consistent measure of money stock, our economic stock of money nests Rotemberg, Driscoll, and Poterba’s (1995) currency equivalent index as a special case, under the assumption of martingale expectations. To compute the economic stock of money without imposing martingale expectations, we use forecasts based on the asymmetric vector autoregressive model and the Bayesian vector autoregressive model. We find the resulting capital-stock growth-rate index to be surprisingly robust to the modeling of expectations.

Suggested Citation

  • William Barnett & Unja Chae & John Keating, 2005. "The Discounted Economic Stock of Money with VAR Forecasting," Macroeconomics 0508021, University Library of Munich, Germany.
  • Handle: RePEc:wpa:wuwpma:0508021
    Note: Type of Document - pdf; pages: 39. A revised version of this paper will appear in the Annals of Finance
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    References listed on IDEAS

    as
    1. William A. Barnett & Shu Wu, 2011. "On User Costs of Risky Monetary Assets," World Scientific Book Chapters, in: Financial Aggregation And Index Number Theory, chapter 3, pages 85-105, World Scientific Publishing Co. Pte. Ltd..
    2. William A Barnett & Unja Chae & John W Keating, 2012. "Forecast Design In Monetary Capital Stock Measurement," Global Journal of Economics (GJE), World Scientific Publishing Co. Pte. Ltd., vol. 1(01), pages 1-53.
    3. Schunk, Donald L, 2001. "The Relative Forecasting Performance of the Divisia and Simple Sum Monetary Aggregates," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 33(2), pages 272-283, May.
    4. Litterman, Robert B, 1986. "Forecasting with Bayesian Vector Autoregressions-Five Years of Experience," Journal of Business & Economic Statistics, American Statistical Association, vol. 4(1), pages 25-38, January.
    5. William Barnett & Apostolos Serletis & W. Erwin Diewert, 2005. "The Theory of Monetary Aggregation (book front matter)," Macroeconomics 0511008, University Library of Munich, Germany.
    6. Rotemberg, Julio J & Driscoll, John C & Poterba, James M, 1995. "Money, Output, and Prices: Evidence from a New Monetary Aggregate," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(1), pages 67-83, January.
    7. Thomas Doan & Robert B. Litterman & Christopher A. Sims, 1983. "Forecasting and Conditional Projection Using Realistic Prior Distributions," NBER Working Papers 1202, National Bureau of Economic Research, Inc.
    8. William Barnett, 2005. "Monetary Aggregation," Macroeconomics 0503017, University Library of Munich, Germany.
    9. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January.
    10. William A. Barnett, 2000. "The User Cost of Money," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 6-10, Emerald Group Publishing Limited.
    11. Hoover, Kevin D. & Perez, Stephen J., 1994. "Post hoc ergo propter once more an evaluation of 'does monetary policy matter?' in the spirit of James Tobin," Journal of Monetary Economics, Elsevier, vol. 34(1), pages 47-74, August.
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    14. Litterman, Robert, 1986. "Forecasting with Bayesian vector autoregressions -- Five years of experience : Robert B. Litterman, Journal of Business and Economic Statistics 4 (1986) 25-38," International Journal of Forecasting, Elsevier, vol. 2(4), pages 497-498.
    15. Keating, John W., 2000. "Macroeconomic Modeling with Asymmetric Vector Autoregressions," Journal of Macroeconomics, Elsevier, vol. 22(1), pages 1-28, January.
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    Citations

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    Cited by:

    1. Barnett, William A. & Liu, Jinan, 2019. "User cost of credit card services under risk with intertemporal nonseparability," Journal of Financial Stability, Elsevier, vol. 42(C), pages 18-35.
    2. Kelly, Logan J. & Barnett, William A. & Keating, John W., 2011. "Rethinking the liquidity puzzle: Application of a new measure of the economic money stock," Journal of Banking & Finance, Elsevier, vol. 35(4), pages 768-774, April.
    3. Kelly, Logan J, 2008. "The Stock of Money and Why You Should Care," MPRA Paper 11455, University Library of Munich, Germany.
    4. Barnett, William A. & Keating, John W. & Kelly, Logan J., 2008. "Toward a bias corrected currency equivalent index," Economics Letters, Elsevier, vol. 100(3), pages 448-451, September.
    5. William A Barnett & Unja Chae & John W Keating, 2012. "Forecast Design In Monetary Capital Stock Measurement," Global Journal of Economics (GJE), World Scientific Publishing Co. Pte. Ltd., vol. 1(01), pages 1-53.
    6. Kelly, Logan J, 2008. "The Currency Equivalent Index and the Current Stock of Money," MPRA Paper 7176, University Library of Munich, Germany.
    7. William Barnett, 2006. "Supply of Money," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200607, University of Kansas, Department of Economics.
    8. William A. Barnett & Marcelle Chauvet, 2011. "International Financial Aggregation and Index Number Theory: A Chronological Half-Century Empirical Overview," World Scientific Book Chapters, in: Financial Aggregation And Index Number Theory, chapter 1, pages 1-51, World Scientific Publishing Co. Pte. Ltd..
    9. Kelly, Logan, 2007. "Measuring the Economic Stock of Money," MPRA Paper 4914, University Library of Munich, Germany.
    10. John W. Keating & Logan J. Kelly & A. Lee Smith & Victor J. Valcarcel, 2019. "A Model of Monetary Policy Shocks for Financial Crises and Normal Conditions," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 51(1), pages 227-259, February.
    11. Barnett, William A. & Chauvet, Marcelle, 2011. "How better monetary statistics could have signaled the financial crisis," Journal of Econometrics, Elsevier, vol. 161(1), pages 6-23, March.
    12. El-Shagi, Makram & Giesen, Sebastian & Kelly, Logan J., 2015. "The Quantity Theory Revisited: A New Structural Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 19(1), pages 58-78, January.
    13. Barnett, William A. & Chauvet, Marcelle, 2008. "The End of the Great Moderation: “We told you so.”," MPRA Paper 11642, University Library of Munich, Germany.
    14. El-Shagi, Makram & Giesen, Sebastian & Kelly, Logan J., 2012. "Monetary Policy in a World Where Money (Also) Matters," IWH Discussion Papers 6/2012, Halle Institute for Economic Research (IWH).
    15. Sunil Paul & M. Ramachandran, 2013. "Do Currency Equivalent Monetary Aggregates Have an Edge over Their Simple Sum Counterparts?," South Asian Journal of Macroeconomics and Public Finance, , vol. 2(2), pages 107-143, December.

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    More about this item

    Keywords

    monetary aggregation; econommic stock of money; aggregation theory; index number theory; VAR forecasting; wealth effect; Pigou effect; real balance effect; measurement;
    All these keywords.

    JEL classification:

    • E41 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Demand for Money
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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