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Monitoring structural change in variance

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  • Carsoule, F.
  • Franses, Ph.H.B.F.

Abstract

In this paper we propose a sequential testing approach for a structural change in the variance of a time series, which amounts to a procedure with a controlled asymptotic size as we repeat the test. Our approach builds on that taken in Chu, Stinchcombe and White (1996) for structural change in the parameters of a linear regression model. We provide simulation evidence to examine the empirical size and power of our procedure. We apply our approach to 14 weekly observed European exchange rates for 1985-1998 and we find ample evidence for the presence of structural changes in nominal exchange rate volatility, where generally a reduction of volatility is found.

Suggested Citation

  • Carsoule, F. & Franses, Ph.H.B.F., 1999. "Monitoring structural change in variance," Econometric Institute Research Papers EI 9925A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:1596
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    References listed on IDEAS

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    1. Eichengreen, Barry, 1988. "Real exchange rate behavior under alternative international monetary regimes : Interwar evidence," European Economic Review, Elsevier, vol. 32(2-3), pages 363-371, March.
    2. Chu, Chia-Shang James & Stinchcombe, Maxwell & White, Halbert, 1996. "Monitoring Structural Change," Econometrica, Econometric Society, vol. 64(5), pages 1045-1065, September.
    3. 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.
    4. Ploberger, Werner & Kramer, Walter & Kontrus, Karl, 1989. "A new test for structural stability in the linear regression model," Journal of Econometrics, Elsevier, vol. 40(2), pages 307-318, February.
    5. Baxter, Marianne & Stockman, Alan C., 1989. "Business cycles and the exchange-rate regime : Some international evidence," Journal of Monetary Economics, Elsevier, vol. 23(3), pages 377-400, May.
    6. Lamoureux, Christopher G & Lastrapes, William D, 1990. "Persistence in Variance, Structural Change, and the GARCH Model," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(2), pages 225-234, April.
    7. Mussa, Michael, 1986. "Nominal exchange rate regimes and the behavior of real exchange rates: Evidence and implications," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 25(1), pages 117-214, January.
    8. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
    9. Stockman, Alan C. & Stockman, Alan C., 1983. "Real exchange rates under alternative nominal exchange-rate systems," Journal of International Money and Finance, Elsevier, vol. 2(2), pages 147-166, August.
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    Cited by:

    1. Chen, Zhanshou & Tian, Zheng, 2010. "Modified procedures for change point monitoring in linear models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(1), pages 62-75.

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