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A Time-Varying Approach of the US Welfare Cost of Inflation

  • Stephen M. Miller

    ()

    (Department of Economics, University of Nevada, Las Vegas, Las Vegas, Nevada, 89154-6005 USA)

  • Luis F. Martins

    ()

    (ISCTE-IUL Business School, Lisbon, Portugal)

  • Rangan Gupta

    ()

    (Department of Economics, University of Pretoria)

Money demand specifications exhibits instability, especially for long spans of data. This paper reconsiders the welfare cost of inflation for the US economy using a flexible time-varying cointegration methodology to estimate the money demand function. We find evidence that the time-varying cointegration estimation provides a better fit of the actual data than a time-invariant estimation and that the throughout unitary income elasticity only exists for the log-log form over the entire sample period. Our estimate of the welfare cost of inflation for a 10-percent inflation rate lies in the range of 0.025 to 0.75 percent of GDP and averages 0.27 percent. In sum, our findings fall well within the ranges of existing studies of the welfare cost of inflation. Finally, the interest elasticity of money demand shows substantial variability over our sample period.

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Paper provided by University of Pretoria, Department of Economics in its series Working Papers with number 201419.

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Length: 31 pages
Date of creation: May 2014
Date of revision:
Handle: RePEc:pre:wpaper:201419
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  1. James N. Duprey, 1980. "The search for a stable money demand equation," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Sum.
  2. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 39(3), pages 106-135.
  3. Cooley, Thomas F & Hansen, Gary D, 1989. "The Inflation Tax in a Real Business Cycle Model," American Economic Review, American Economic Association, vol. 79(4), pages 733-48, September.
  4. Sudhanshu Kumar, 2014. "The varying interest elasticity and the cost of inflation in India," Applied Economics Letters, Taylor & Francis Journals, vol. 21(7), pages 497-500, May.
  5. Rangan Gupta & Anandamayee Majumdar, 2014. "Reconsidering the welfare cost of inflation in the US: a nonparametric estimation of the nonlinear long-run money-demand equation using projection pursuit regressions," Empirical Economics, Springer, vol. 46(4), pages 1221-1240, June.
  6. Ben Craig & Guillaume Rocheteau, 2006. "Inflation and welfare: a search approach," Policy Discussion Papers, Federal Reserve Bank of Cleveland, issue Jan.
  7. Ricardo Lagos & Randall Wright, 2004. "A unified framework for monetary theory and policy analysis," Staff Report 346, Federal Reserve Bank of Minneapolis.
  8. Park, Joon Y. & Hahn, Sang B., 1999. "Cointegrating Regressions With Time Varying Coefficients," Econometric Theory, Cambridge University Press, vol. 15(05), pages 664-703, October.
  9. 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.
  10. Quintos, Carmela E & Phillips, Peter C B, 1993. "Parameter Constancy in Cointegrating Regressions," Empirical Economics, Springer, vol. 18(4), pages 675-706.
  11. In Choi & Pentti Saikkonen, 2004. "Testing linearity in cointegrating smooth transition regressions," Econometrics Journal, Royal Economic Society, vol. 7(2), pages 341-365, December.
  12. International Monetary Fund, 2011. "Macroprudential Policy; What Instruments and How to Use them? Lessons From Country Experiences," IMF Working Papers 11/238, International Monetary Fund.
  13. Peter N. Ireland, 2007. "On the Welfare Cost of Inflation and the Recent Behavior of Money Demand," Boston College Working Papers in Economics 662, Boston College Department of Economics.
  14. Hansen, Bruce E, 1992. "Tests for Parameter Instability in Regressions with I(1) Processes," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 321-35, July.
  15. Gillman, Max, 1993. "The welfare cost of inflation in a cash-in-advance economy with costly credit," Journal of Monetary Economics, Elsevier, vol. 31(1), pages 97-115, February.
  16. Serena Ng & Pierre Perron, 1997. "Lag Length Selection and the Construction of Unit Root Tests with Good Size and Power," Boston College Working Papers in Economics 369, Boston College Department of Economics, revised 01 Sep 2000.
  17. Khan, Mohsin S, 1974. "The Stability of the Demand-for-Money Function in the United States 1901-1965," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1205-19, Nov.-Dec..
  18. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-72, June.
  19. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501, June.
  20. Matteo Barigozzi & Antonio Conti, 2013. "On the Stability of Euro Area Money Demand and its Implications for Monetary Policy," LEM Papers Series 2013/11, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
  21. Aiyagari, S.R. & Braum, T. & Eckstein, Z., 1995. "Transaction Services, Inflation and Welfare," Papers 27-95, Tel Aviv - the Sackler Institute of Economic Studies.
  22. Saikkonen, Pentti & Choi, In, 2004. "Cointegrating Smooth Transition Regressions," Econometric Theory, Cambridge University Press, vol. 20(02), pages 301-340, April.
  23. Ariel Burstein & Christian Hellwig, 2008. "Welfare Costs of Inflation in a Menu Cost Model," 2008 Meeting Papers 1, Society for Economic Dynamics.
  24. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-80, November.
  25. Max Gillman, 1995. "Comparing Partial And General Equilibrium Estimates Of The Welfare Cost Of Inflation," Contemporary Economic Policy, Western Economic Association International, vol. 13(4), pages 60-71, October.
  26. Wang, Yiming, 2011. "The stability of long-run money demand in the United States: A new approach," Economics Letters, Elsevier, vol. 111(1), pages 60-63, April.
  27. Kuo, Biing-Shen, 1998. "Test for partial parameter instability in regressions with I(1) processes," Journal of Econometrics, Elsevier, vol. 86(2), pages 337-368, June.
  28. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
  29. Hall, Stephen G & Psaradakis, Zacharias & Sola, Martin, 1997. "Cointegration and Changes in Regime: The Japanese Consumption Function," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(2), pages 151-68, March-Apr.
  30. Bierens, Herman J. & Martins, Luis F., 2010. "Time-Varying Cointegration," Econometric Theory, Cambridge University Press, vol. 26(05), pages 1453-1490, October.
  31. Donald W.K. Andrews & Inpyo Lee & Werner Ploberger, 1992. "Optimal Changepoint Tests for Normal Linear Regression," Cowles Foundation Discussion Papers 1016, Cowles Foundation for Research in Economics, Yale University.
  32. Tesfatsion, L. & Veitch, J., 1988. "U.S. Money Demand Instability: A Flexible Least Squares Approach," Papers m8809, Southern California - Department of Economics.
  33. Andrade, Philippe & Bruneau, Catherine & Gregoir, Stephane, 2005. "Testing for the cointegration rank when some cointegrating directions are changing," Journal of Econometrics, Elsevier, vol. 124(2), pages 269-310, February.
  34. Dotsey, Michael & Ireland, Peter, 1996. "The welfare cost of inflation in general equilibrium," Journal of Monetary Economics, Elsevier, vol. 37(1), pages 29-47, February.
  35. Hafer, R W & Jansen, Dennis W, 1991. "The Demand for Money in the United States: Evidence from Cointegration Tests," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 23(2), pages 155-68, May.
  36. Andre C. Silva, 2014. "Rebalancing Frequency and the Welfare Cost of Inflation," FEUNL Working Paper Series wp587, Universidade Nova de Lisboa, Faculdade de Economia.
  37. JØrgen Wolters & Helmut LØtkepohl, 1998. "A money demand system for German M3," Empirical Economics, Springer, vol. 23(3), pages 371-386.
  38. Youngsoo Bae & Robert M. de Jong, 2007. "Money demand function estimation by nonlinear cointegration," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(4), pages 767-793.
  39. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-36, July.
  40. B. Bhaskara Rao & Saten Kumar, 2011. "Is the US demand for money unstable?," Applied Financial Economics, Taylor & Francis Journals, vol. 21(17), pages 1263-1272.
  41. Gomme, P., 1993. "Money and Growth Revisited : Measuring the Costs of Inflation in an Endogenous Growth Model," Discussion Papers dp93-03, Department of Economics, Simon Fraser University.
  42. Seo, Byeongseon, 1998. "Tests For Structural Change In Cointegrated Systems," Econometric Theory, Cambridge University Press, vol. 14(02), pages 222-259, April.
  43. Serletis, Apostolos & Shahmoradi, Asghar, 2007. "A Note On Imposing Local Curvature In Generalized Leontief Models," Macroeconomic Dynamics, Cambridge University Press, vol. 11(02), pages 290-294, April.
  44. Henrik Hansen & Søren Johansen, 1999. "Some tests for parameter constancy in cointegrated VAR-models," Econometrics Journal, Royal Economic Society, vol. 2(2), pages 306-333.
  45. Espen Henriksen & Finn Kydland, 2010. "Endogenous Money, Inflation and Welfare," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(2), pages 470-486, April.
  46. Peter Reinhard Hansen, 2000. "Structural Changes in the Cointegrated Vector Autoregressive Model," Working Papers 2000-20, Brown University, Department of Economics.
  47. Nathan S. Balke & Thomas B. Fomby, 1992. "Threshold cointegration," Research Paper 9209, Federal Reserve Bank of Dallas.
    • Balke, Nathan S & Fomby, Thomas B, 1997. "Threshold Cointegration," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(3), pages 627-45, August.
  48. Hao, K., 1996. "Testing for Structural Change in Cointegrated Regression Models: Some Comparisons and Generalizations," Monash Econometrics and Business Statistics Working Papers 3/96, Monash University, Department of Econometrics and Business Statistics.
  49. Wu, Yangru & Zhang, Junxi, 1998. "Endogenous growth and the welfare costs of inflation: a reconsideration," Journal of Economic Dynamics and Control, Elsevier, vol. 22(3), pages 465-482, March.
  50. Miller, Stephen M, 1991. "Monetary Dynamics: An Application of Cointegration and Error-Correction Modeling," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 23(2), pages 139-54, May.
  51. Jawadi, Fredj & Sousa, Ricardo M., 2013. "Money demand in the euro area, the US and the UK: Assessing the role of nonlinearity," Economic Modelling, Elsevier, vol. 32(C), pages 507-515.
  52. Zuo, Haomiao & Park, Sung Y., 2011. "Money demand in China and time-varying cointegration," China Economic Review, Elsevier, vol. 22(3), pages 330-343, September.
  53. Juhl, Ted & Xiao, Zhijie, 2005. "Testing for cointegration using partially linear models," Journal of Econometrics, Elsevier, vol. 124(2), pages 363-394, February.
  54. Nakashima, Kiyotaka & Saito, Makoto, 2012. "On the comparison of alternative specifications for money demand: The case of extremely low interest rate regimes in Japan," Journal of the Japanese and International Economies, Elsevier, vol. 26(3), pages 454-471.
  55. Harris, David & McCabe, Brendan & Leybourne, Stephen, 2002. "Stochastic cointegration: estimation and inference," Journal of Econometrics, Elsevier, vol. 111(2), pages 363-384, December.
  56. Cooley, T.F. & Hansen, G.D., 1991. "The Welfare Costs of Moderate Inflations," Papers 90-04, Rochester, Business - General.
  57. Barry Z. Cynamon & Donald H. Dutkowsky & Barry E. Jones, 2006. "Redefining the Monetary Agggregates: A Clean Sweep," Eastern Economic Journal, Eastern Economic Association, vol. 32(4), pages 661-672, Fall.
  58. de Jong, Robert M., 2001. "Nonlinear estimation using estimated cointegrating relations," Journal of Econometrics, Elsevier, vol. 101(1), pages 109-122, March.
  59. Jushan Bai & Robin L. Lumsdaine & James H. Stock, 1998. "Testing For and Dating Common Breaks in Multivariate Time Series," Review of Economic Studies, Oxford University Press, vol. 65(3), pages 395-432.
  60. Paul Gomme, 1991. "Money and growth revisited," Discussion Paper / Institute for Empirical Macroeconomics 55, Federal Reserve Bank of Minneapolis.
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