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A Local Instrumental Variable Estimation Method for Generalized Additive Volatility Models

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Author Info
Woocheol Kim
Oliver Linton

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Abstract

We investigate a new separable nonparametric model for time series, which includes many ARCH models and AR models already discussed in the literature. We also propose a new estimation procedure based on a localization of the econometric method of instrumental variables. Our method has considerable computational advantages over the competing marginal integration or projection method.

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Paper provided by Suntory and Toyota International Centres for Economics and Related Disciplines, LSE in its series STICERD - Econometrics Paper Series with number /2003/456.

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Date of creation: May 2003
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Handle: RePEc:cep:stiecm:/2003/456

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Keywords: ARCH; kernel estimation; nonparametric; volatility.;

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Linton, Oliver B. & Perch Nielsen, Jens & Van de Geer, Sara, 2001. "Estimating Multiplicative and Additive Hazard Functions by Kernel Methods," Finance Working Papers 01-2, University of Aarhus, Aarhus School of Business, Department of Business Studies. [Downloadable!]
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  2. Masry, Elias & Tj?stheim, Dag, 1997. "Additive Nonlinear ARX Time Series and Projection Estimates," Econometric Theory, Cambridge University Press, vol. 13(02), pages 214-252, April. [Downloadable!]
  3. Ziegelmann, Flavio A., 2002. "Nonparametric Estimation Of Volatility Functions: The Local Exponential Estimator," Econometric Theory, Cambridge University Press, vol. 18(04), pages 985-991, August. [Downloadable!]
  4. Andrews, Donald W.K., 1986. "Empirical process methods in econometrics," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 37, pages 2247-2294 Elsevier. [Downloadable!] (restricted)
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  5. W. H"Ardle & A. Tsybakov & L. Yang, . "Nonparametric Vector Autoregression," Sonderforschungsbereich 373 1996-61, Humboldt Universitaet Berlin.
  6. Terasvirta, Timo & Tjostheim, Dag & W.J. Granger, Clive, 1986. "Aspects of modelling nonlinear time series," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 48, pages 2917-2957 Elsevier. [Downloadable!] (restricted)
  7. Oliver Linton & E. Mammen & J. Nielsen, 1997. "The Existence and Asymptotic Properties of a Backfitting Projection Algorithm Under Weak Conditions," Cowles Foundation Discussion Papers 1160, Cowles Foundation, Yale University. [Downloadable!]
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  8. Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-70, March. [Downloadable!] (restricted)
  9. L. Yang & W. H"Ardle, . "Nonparametric Autoregression with Multiplicative Volatility and Additive Mean," Sonderforschungsbereich 373 1996-62, Humboldt Universitaet Berlin.
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  10. Cai, Zongwu & Masry, Elias, 2000. "Nonparametric Estimation Of Additive Nonlinear Arx Time Series: Local Linear Fitting And Projections," Econometric Theory, Cambridge University Press, vol. 16(04), pages 465-501, August. [Downloadable!]
  11. Carrasco, Marine & Chen, Xiaohong, 2002. "Mixing And Moment Properties Of Various Garch And Stochastic Volatility Models," Econometric Theory, Cambridge University Press, vol. 18(01), pages 17-39, February. [Downloadable!]
  12. repec:cup:etheor:v:13:y:1997:i:2:p:214-52 is not listed on IDEAS
  13. O. B. Linton & R. Chen & W. H"Ardle, . "An Analysis of Transformations for Additive Nonparanetric Regression," Sonderforschungsbereich 373 1995-68, Humboldt Universitaet Berlin.
  14. W. H"Ardle & O. Linton, . "Nonparametric Regression," Sonderforschungsbereich 373 1995-29, Humboldt Universitaet Berlin.
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  1. Oliver Linton & Enno Mammen, 2003. "Estimating Semiparametric ARCH (8) Models by Kernel Smoothing Methods," STICERD - Econometrics Paper Series /2003/453, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
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