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Modelling Structural Change in Money Demand Using a Fourier-Series Approximation

Author

Listed:
  • Ralf Becker
  • Walter Enders
  • Stan Hurn

Abstract

The paper develops a simple method that can be used to test for a time-varying intercept and to approximate its form. The test is solidly grounded in asymptotic theory and has good small-sample properties. The methodology is based on the fact that a Fourier approximation can capture the variation in any absolutely integrable function of time. As such, it is possible to use successive applications of the test to "back-out" the form of the time-varying intercept. We illustrate the methodology using an extended example concerning the demand for money.

Suggested Citation

  • Ralf Becker & Walter Enders & Stan Hurn, 2001. "Modelling Structural Change in Money Demand Using a Fourier-Series Approximation," Research Paper Series 67, Quantitative Finance Research Centre, University of Technology, Sydney.
  • Handle: RePEc:uts:rpaper:67
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    File URL: http://www.qfrc.uts.edu.au/research/research_papers/rp67.pdf
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    References listed on IDEAS

    as
    1. Hausman, Jerry, 2015. "Specification tests in econometrics," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 38(2), pages 112-134.
    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. Andrews, Donald W K & Ploberger, Werner, 1994. "Optimal Tests When a Nuisance Parameter Is Present Only under the Alternative," Econometrica, Econometric Society, vol. 62(6), pages 1383-1414, November.
    4. Farley, John U. & Hinich, Melvin & McGuire, Timothy W., 1975. "Some comparisons of tests for a shift in the slopes of a multivariate linear time series model," Journal of Econometrics, Elsevier, vol. 3(3), pages 297-318, August.
    5. Chow, Gregory C., 1984. "Random and changing coefficient models," Handbook of Econometrics,in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 21, pages 1213-1245 Elsevier.
    6. Hansen, Bruce E, 2002. "Tests for Parameter Instability in Regressions with I(1) Processes," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 45-59, January.
    7. Andrews, Donald W K, 1993. "Tests for Parameter Instability and Structural Change with Unknown Change Point," Econometrica, Econometric Society, vol. 61(4), pages 821-856, July.
    8. Tan, Hui Boon & Ashley, Richard, 1999. "Detection And Modeling Of Regression Parameter Variation Across Frequencies," Macroeconomic Dynamics, Cambridge University Press, vol. 3(01), pages 69-83, March.
    9. Hansen, Bruce E., 2000. "Testing for structural change in conditional models," Journal of Econometrics, Elsevier, vol. 97(1), pages 93-115, July.
    10. Robert B. Davies, 2002. "Hypothesis testing when a nuisance parameter is present only under the alternative: Linear model case," Biometrika, Biometrika Trust, vol. 89(2), pages 484-489, June.
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    Citations

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    Cited by:

    1. Pascalau, Razvan & Thomann, Christian & Gregoriou, Greg N., 2010. "Unconditional mean, Volatility and the Fourier-Garch representation," MPRA Paper 35932, University Library of Munich, Germany.
    2. Garcés Díaz, Daniel Guillermo, 2008. "Efectos de los cambios de la política monetaria en las dinámicas del tipo de cambio, el dinero y los precios en México (1945-2000)," El Trimestre Económico, Fondo de Cultura Económica, vol. 0(299), pages 683-713, julio-sep.
    3. Daniel Garces-Diaz, 2004. "How Does the Monetary Model of Exchange Rate Determination Look When It Really Works?," Econometric Society 2004 North American Winter Meetings 60, Econometric Society.

    More about this item

    Keywords

    structural break; fourier approximations; money demand;

    JEL classification:

    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation

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