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Identification, estimation and testing of conditionally heteroskedastic factor models

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Author Info

  • Gabriele Fiorentini

    () (Universidad de Alicante)

  • Enrique Sentana Iváñez

    (CEMFI)

Abstract

We investigate several important inference issues for factor models with dynamic heteroskedasticity in the common factors. First, we show that such models are identified if we take into account the time-variation in the variances of the factors. Our results also apply to dynamic versions of the APT, dynamic factor models, and vector autoregressions.Secondly, we propose a consistent two-step estimation procedure which do es not rely on knowledge of any factor estimates, and explain how to compute correct standard errors.Thirdly, we develop a simple preliminary LM test for the presence of ARCH effects in the common factors. Finally, we conduct a Monte CarIo analysis of the finite sample properties of the proposed estimators and hypothesis tests.

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File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-1997-22.pdf
File Function: Fisrt version / Primera version, 1997
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Bibliographic Info

Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 1997-22.

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Length: 48 pages
Date of creation: Oct 1997
Date of revision:
Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:1997-22

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Keywords: Factor Models; Conditional Heteroskedasticity; Identification;

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References

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  1. Olivier Jean Blanchard & Danny Quah, 1990. "The Dynamic Effects of Aggregate Demand and Supply Disturbances," NBER Working Papers 2737, National Bureau of Economic Research, Inc.
  2. Engle, Robert F. & Ng, Victor K. & Rothschild, Michael, 1990. "Asset pricing with a factor-arch covariance structure : Empirical estimates for treasury bills," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 213-237.
  3. Nijman, T.E. & Sentana, E., 1996. "Marginalization and contemporaneous aggregation in multivariate GARCH processes," Open Access publications from Tilburg University urn:nbn:nl:ui:12-73202, Tilburg University.
  4. Giraitis, Liudas & Kokoszka, Piotr & Leipus, Remigijus, 2000. "Stationary Arch Models: Dependence Structure And Central Limit Theorem," Econometric Theory, Cambridge University Press, vol. 16(01), pages 3-22, February.
  5. Lin, Wen-Ling, 1992. "Alternative Estimators for Factor GARCH Models--A Monte Carlo Comparison," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(3), pages 259-79, July-Sept.
  6. Harvey, A. C. & Ruiz, Esther & Sentana, E., 1992. "Unobserved Component Time Series Models with ARCH Disturbances," Open Access publications from Universidad Carlos III de Madrid info:hdl:10016/4702, Universidad Carlos III de Madrid.
  7. Wegge, Leon L., 1996. "Local identifiability of the factor analysis and measurement error model parameter," Journal of Econometrics, Elsevier, vol. 70(2), pages 351-382, February.
  8. Bekker, Paul A., 1989. "Identification in restricted factor models and the evaluation of rank conditions," Journal of Econometrics, Elsevier, vol. 41(1), pages 5-16, May.
  9. Mervyn King & Enrique Sentana & Sushil Wadhwani, 1990. "Volatiltiy and Links Between National Stock Markets," NBER Working Papers 3357, National Bureau of Economic Research, Inc.
  10. James Dunn, 1973. "A note on a sufficiency condition for uniqueness of a restricted factor matrix," Psychometrika, Springer, vol. 38(1), pages 141-143, March.
  11. Durbin, J, 1970. "Testing for Serial Correlation in Least-Squares Regression When Some of the Regressors are Lagged Dependent Variables," Econometrica, Econometric Society, vol. 38(3), pages 410-21, May.
  12. Demos, Antonis & Sentana, Enrique, 1998. "Testing for GARCH effects: a one-sided approach," Journal of Econometrics, Elsevier, vol. 86(1), pages 97-127, June.
  13. Robert Jennrich, 1978. "Rotational equivalence of factor loading matrices with specified values," Psychometrika, Springer, vol. 43(3), pages 421-426, September.
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