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Money Velocity with Interest Rate Stochastic Volatility and Exact Aggregation

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  • William Barnett

    (Department of Economics, The University of Kansas)

  • Haiyang Xu

    (Washington University in St.Louis)

Abstract

The determinants of money velocity are theoretically explored under various assumptions of interest rate uncertainty in a monetary general equilibrium model. Money is introduced by putting monetary services in the utility function. Monetary assets pay interest. When interest rates are uncertain, it is found that the degree of risk aversion in consumers' preferences and the risk in the return rates of the benchmark asset affect both the intercept and slope of the money velocity function, while the risk in return rates of monetary assets only affects the intercept of the money velocity function. The traditional money velocity function would become unstable if covariances change over time between interest rates and consumption growth rate or between interest rates and real money growth rate. We simulate the model developed in this paper and find that the coefficients of the money velocity function are volatile. The Swamy and Tinsley (1980) random coefficient model is then estimated with money velocity data to compare the results with those from model simulation. It is found that the estimated stochastic slope coefficient of the velocity function behaves in a manner that is approximately consistent with the simulation results.

Suggested Citation

  • William Barnett & Haiyang Xu, 2012. "Money Velocity with Interest Rate Stochastic Volatility and Exact Aggregation," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201224, University of Kansas, Department of Economics, revised Sep 2012.
  • Handle: RePEc:kan:wpaper:201224
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    References listed on IDEAS

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    1. William A. Barnett & Douglas Fisher & Apostolos Serletis, 2006. "Consumer Theory and the Demand for Money," World Scientific Book Chapters,in: Money And The Economy, chapter 1, pages 3-43 World Scientific Publishing Co. Pte. Ltd..
    2. Swamy, P. A. V. B. & Tinsley, P. A., 1980. "Linear prediction and estimation methods for regression models with stationary stochastic coefficients," Journal of Econometrics, Elsevier, vol. 12(2), pages 103-142, February.
    3. Labadie, Pamela, 1989. "Stochastic inflation and the equity premium," Journal of Monetary Economics, Elsevier, vol. 24(2), pages 277-298, September.
    4. Barnett, William A., 1980. "Economic monetary aggregates an application of index number and aggregation theory," Journal of Econometrics, Elsevier, vol. 14(1), pages 11-48, September.
    5. Hall, Thomas E & Noble, Nicholas R, 1987. "Velocity and the Variability of Money Growth: Evidence from Granger-Causality Tests: A Note," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 19(1), pages 112-116, February.
    6. James B. Bullard, 1994. "Measures of money and the quantity theory," Review, Federal Reserve Bank of St. Louis, issue Jan, pages 19-30.
    7. Fisher, Douglas & Serletis, Apostolos, 1989. "Velocity and the growth of money in the United States, 1970-1985," Journal of Macroeconomics, Elsevier, vol. 11(3), pages 323-332.
    8. Giovannini, Alberto & Labadie, Pamela, 1991. "Asset Prices and Interest Rates in Cash-in-Advance Models," Journal of Political Economy, University of Chicago Press, vol. 99(6), pages 1215-1251, December.
    9. Belongia, Michael T, 1996. "Measurement Matters: Recent Results from Monetary Economics Reexamined," Journal of Political Economy, University of Chicago Press, vol. 104(5), pages 1065-1083, October.
    10. Carl F. Christ, 1993. "Assessing applied econometric results," Review, Federal Reserve Bank of St. Louis, issue Mar, pages 71-94.
    11. Michael T. Belongia, 1984. "Money growth variability and GNP," Review, Federal Reserve Bank of St. Louis, issue Apr, pages 23-31.
    12. Barnett, William A., 1978. "The user cost of money," Economics Letters, Elsevier, vol. 1(2), pages 145-149.
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    More about this item

    JEL classification:

    • E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles
    • E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates
    • E5 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling

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