IDEAS home Printed from https://ideas.repec.org/p/fth/tilbur/9240.html
   My bibliography  Save this paper

Temporal Aggregation of Garch Processes

Author

Listed:
  • Drost, F.C.
  • Nijman, T.E.

Abstract

The authors derive low frequency, say weekly, models implied by high frequency, say daily, ARMA models with symmetric GARCH errors. They show that low frequency models exhibit conditional heteroskedasticity of the GARCH form as well. The parameters in the conditional variance equation of the low frequency model depend upon mean, variance, and kurtosis parameters of the corresponding high frequency model. Moreover, strongly consistent estimators of the parameters in the high frequency model can be derived from low frequency data. The common assumption in applications that rescaled innovations are independent is disputable, since it depends upon the available data frequency. Copyright 1993 by The Econometric Society.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Drost, F.C. & Nijman, T.E., 1992. "Temporal Aggregation of Garch Processes," Papers 9240, Tilburg - Center for Economic Research.
    • Handle: RePEc:fth:tilbur:9240
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Nelson, Daniel B., 1990. "ARCH models as diffusion approximations," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 7-38.
    2. Gallant, Ronald & Tauchen, George, 1989. "Seminonparametric Estimation of Conditionally Constrained Heterogeneous Processes: Asset Pricing Applications," Econometrica, Econometric Society, vol. 57(5), pages 1091-1120, September.
    3. Verbeek, Marno & Nijman, Theo, 1992. "Testing for Selectivity Bias in Panel Data Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(3), pages 681-703, August.
    4. Eijffinger, Sylvester & van Rixtel, Adrian, 1992. "The Japanese financial system and monetary policy: a descriptive review," Japan and the World Economy, Elsevier, vol. 4(4), pages 291-309, December.
    5. Marini, Giancarlo & van der Ploeg, Frederick, 1988. "Monetary and Fiscal Policy in an Optimising Model with Capital Accumulation and Finite Lives," Economic Journal, Royal Economic Society, vol. 98(392), pages 772-786, September.
    6. Bomze, I.M. & van Damme, E.E.C., 1990. "A dynamical characterization of evolutionarily stable states," Discussion Paper 1990-45, Tilburg University, Center for Economic Research.
    7. Kapteyn, Arie & Kooreman, Peter & van Soest, Arthur, 1990. "Quantity Rationing and Concavity in a Flexible Household Labor Supply Model," The Review of Economics and Statistics, MIT Press, vol. 72(1), pages 55-62, February.
    8. Jurg, A.P. & García-Jurado, I. & Borm, P.E.M., 1992. "On modifications of the concepts of perfect and proper equilibria," Other publications TiSEM b06a7e2d-b824-4a92-b577-9, Tilburg University, School of Economics and Management.
    9. Frederick Ploeg & Cees Withagen, 1991. "Pollution control and the Ramsey problem," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 1(2), pages 215-236, June.
    10. Baye, Michael R. & Kovenock, Dan & de Vries, Casper G., 1992. "It takes two to tango: Equilibria in a model of sales," Games and Economic Behavior, Elsevier, vol. 4(4), pages 493-510, October.
    11. Lans Bovenberg, A., 1993. "Investment-promoting policies in open economies : The importance of intergenerational and international distributional effects," Journal of Public Economics, Elsevier, vol. 51(1), pages 3-54, May.
    12. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    13. Tim Bollerslev, 1988. "On The Correlation Structure For The Generalized Autoregressive Conditional Heteroskedastic Process," Journal of Time Series Analysis, Wiley Blackwell, vol. 9(2), pages 121-131, March.
    14. Bovenberg, A.L., 1993. "Investment-promoting policies in open economies : The importance of intergenerational and international distributional effects," Other publications TiSEM 2a11d648-7fac-4a3f-b6bf-c, Tilburg University, School of Economics and Management.
    15. Nijman, T.E. & Verbeek, M.J.C.M., 1992. "Testing for selectivity in panel data models," Other publications TiSEM 7ec34a6c-1d84-4052-971c-d, Tilburg University, School of Economics and Management.
    16. Weiss, Andrew A., 1986. "Asymptotic Theory for ARCH Models: Estimation and Testing," Econometric Theory, Cambridge University Press, vol. 2(1), pages 107-131, April.
    17. Engle, Robert F & Gonzalez-Rivera, Gloria, 1991. "Semiparametric ARCH Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 9(4), pages 345-359, October.
    18. Gradus, R.H.J.M. & de Zeeuw, A.J., 1993. "An employment game between government and firms," Other publications TiSEM e4810291-ddd4-4431-8b30-2, Tilburg University, School of Economics and Management.
    19. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bollerslev, Tim & Engle, Robert F. & Nelson, Daniel B., 1986. "Arch models," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 49, pages 2959-3038, Elsevier.
    2. Muto, S., 1994. "On licensing policies in Bertrand competition," Other publications TiSEM ef5dd5db-f744-4695-b669-3, Tilburg University, School of Economics and Management.
    3. Theodore E. Nijman & Roel Beetsma, 1991. "Empirical Tests of a Simple Pricing Model for Sugar Futures," Annals of Economics and Statistics, GENES, issue 24, pages 121-131.
    4. Tim Bollerslev & Ray Y. Chou & Narayanan Jayaraman & Kenneth F. Kroner - L, 1991. "es modéles ARCH en finance : un point sur la théorie et les résultats empiriques," Annals of Economics and Statistics, GENES, issue 24, pages 1-59.
    5. Font, Begoña, 1998. "Modelización de series temporales financieras. Una recopilación," DES - Documentos de Trabajo. Estadística y Econometría. DS 3664, Universidad Carlos III de Madrid. Departamento de Estadística.
    6. Eijffinger, Sylvester & van Rixtel, Adrian, 1992. "The Japanese financial system and monetary policy: a descriptive review," Japan and the World Economy, Elsevier, vol. 4(4), pages 291-309, December.
    7. Bollerslev, Tim & Chou, Ray Y. & Kroner, Kenneth F., 1992. "ARCH modeling in finance : A review of the theory and empirical evidence," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 5-59.
    8. Issler, João Victor, 1999. "Estimating and forecasting the volatility of Brazilian finance series using arch models (Preliminary Version)," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 347, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    9. Drost, Feike C. & Klaassen, Chris A. J., 1997. "Efficient estimation in semiparametric GARCH models," Journal of Econometrics, Elsevier, vol. 81(1), pages 193-221, November.
    10. Franses,Philip Hans & Dijk,Dick van, 2000. "Non-Linear Time Series Models in Empirical Finance," Cambridge Books, Cambridge University Press, number 9780521779654, September.
    11. Eijffinger, S.C.W., 1993. "Central bank independence in twelve industrial countries," Other publications TiSEM 0401b17a-e2c7-4179-ace9-a, Tilburg University, School of Economics and Management.
    12. Degiannakis, Stavros & Xekalaki, Evdokia, 2004. "Autoregressive Conditional Heteroskedasticity (ARCH) Models: A Review," MPRA Paper 80487, University Library of Munich, Germany.
    13. Nijman, T.E. & Palm, F.C., 1991. "Recent developments in modeling volatility in financial data," Discussion Paper 1991-68, Tilburg University, Center for Economic Research.
    14. Drost, F.C. & Klaassen, C.A.J., 1996. "Efficient Estimation in Semiparametric GARCH Models," Other publications TiSEM 3da5ac9e-1f93-41b2-aaa0-5, Tilburg University, School of Economics and Management.
    15. Francis X. Diebold & Jose A. Lopez, 1995. "Measuring Volatility Dynamics," NBER Technical Working Papers 0173, National Bureau of Economic Research, Inc.
    16. Chihwa Kao, 2001. "Geography, Industrial Organization, and Agglomeration Heteroskedasticity Models with Estimates of the Variances of Foreign Exchange Rates," Center for Policy Research Working Papers 34, Center for Policy Research, Maxwell School, Syracuse University.
    17. Nijman, T.E. & Palm, F.C., 1991. "Recent developments in modeling volatility in financial data," Other publications TiSEM 0c1ff78c-d484-43bb-bcc3-a, Tilburg University, School of Economics and Management.
    18. Alistair Mees & Berndt Pilgram, 2000. "Non-Linear Markov Modelling Using Canonical Variate Analysis: Forecasting Exchange Rate Volatility," Econometric Society World Congress 2000 Contributed Papers 1162, Econometric Society.
    19. Ñíguez, Trino-Manuel & Perote, Javier, 2017. "Moments expansion densities for quantifying financial risk," The North American Journal of Economics and Finance, Elsevier, vol. 42(C), pages 53-69.
    20. Drost, F.C. & Klaasens, C.A.J. & Werker, B.J.M., 1994. "Adaptive Estimation in Time Series Models," Papers 9488, Tilburg - Center for Economic Research.

    More about this item

    Keywords

    economic models ; econometrics;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:fth:tilbur:9240. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thomas Krichel (email available below). General contact details of provider: https://edirc.repec.org/data/cekubnl.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.