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A Class of Nonlinear ARCH Models

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Author Info
Higgins, Matthew L
Bera, Anil K

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Abstract

A class of nonlinear autoregressive conditional heteroskedasticity models is suggested. The proposed class encompasses several functional forms for autoregressive conditional heteroskedasticity which have been put forth in the literature. A Lagrange multiplier test is developed to test Engle's autoregressive conditional heteroskedasticity specification against the wider class of models. This test provides an easily computed disgnostic check of the adequacy of an autoregressive conditional heteroskedasticity model after it has been estimated. The theory is applied to a number of weekly exchange rate series and the authors find strong evidence of nonlinear autoregressive conditional heteroskedasticity. Copyright 1992 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

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Publisher Info
Article provided by Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association in its journal International Economic Review.

Volume (Year): 33 (1992)
Issue (Month): 1 (February)
Pages: 137-58
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Handle: RePEc:ier:iecrev:v:33:y:1992:i:1:p:137-58

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  1. Cotter, John, 2004. "Uncovering Long Memory in High Frequency UK Futures," MPRA Paper 3525, University Library of Munich, Germany. [Downloadable!]
  2. Marc Saez Zafra & Jorge V. Pérez Rodríguez, 1994. "Modelos autorregresivos para la varianza condicionada heteroscedastica (ARCH)," Estudios de Economía Aplicada, Estudios de Economía Aplicada, vol. 2, pages 71-106, Diciembre. [Downloadable!] (restricted)
  3. Christian Conrad & Menelaos Karanasos & Ning Zeng, 2008. "Multivariate Fractionally Integrated APARCH Modeling of Stock Market Volatility: A multi-country study," Working Papers 0472, University of Heidelberg, Department of Economics, revised Jul 2008. [Downloadable!]
  4. Margiora, Philippa & Panaretos, John, 2001. "Autoregressive Conditional Heteroskedasticity Models and the Dynamic Structure of the Athens Stock Exchange," MPRA Paper 6358, University Library of Munich, Germany. [Downloadable!]
  5. Esther Ruiz & Ana Pérez, 2001. "Asymmetric Long Memory Garch: A Reply To Hwang’S Model," Statistics and Econometrics Working Papers ws016229, Universidad Carlos III, Departamento de Estadística y Econometría. [Downloadable!]
  6. John M. Maheu & Thomas H. McCurdy, 2001. "Nonlinear Features of Realized FX Volatility," CIRANO Working Papers 2001s-42, CIRANO. [Downloadable!]
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  7. Geoffrey F. Loudon & Wing H. Watt & Pradeep K. Yadav, 2000. "An empirical analysis of alternative parametric ARCH models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(2), pages 117-136. [Downloadable!]
  8. James D. Hamilton, 2008. "Macroeconomics and ARCH," NBER Working Papers 14151, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  9. Tim Bollerslev, 2008. "Glossary to ARCH (GARCH)," CREATES Research Papers 2008-49, School of Economics and Management, University of Aarhus. [Downloadable!]
  10. M. Angeles Carnero & Daniel Peña & Esther Ruiz, 2001. "Outliers And Conditional Autoregressive Heteroscedasticity In Time Series," Statistics and Econometrics Working Papers ws010704, Universidad Carlos III, Departamento de Estadística y Econometría. [Downloadable!]
  11. Tak Siu & John Lau & Hailiang Yang, 2007. "On Valuing Participating Life Insurance Contracts with Conditional Heteroscedasticity," Asia-Pacific Financial Markets, Springer, vol. 14(3), pages 255-275, September. [Downloadable!] (restricted)
  12. Jun Yu & Zhenlin Yang & Xibin Zhang, 2002. "A Class of Nonlinear Stochastic Volatility Models and Its Implications on Pricing Currency Options," Monash Econometrics and Business Statistics Working Papers 17/02, Monash University, Department of Econometrics and Business Statistics. [Downloadable!]
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  13. Ivana Komunjer, 2001. "Consistent Estimation for Aggregated GARCH Processes," University of California at San Diego, Economics Working Paper Series 2001-08, Department of Economics, UC San Diego. [Downloadable!]
  14. Turgut Kisinbay, 2003. "Predictive Ability of Asymmetric Volatility Models at Medium-Term Horizons," IMF Working Papers 03/131, International Monetary Fund. [Downloadable!]
  15. Peter Reinhard Hansen & Asger Lunde & James M. Nason, 2003. "Choosing the best volatility models: the model confidence set approach," Working Paper 2003-28, Federal Reserve Bank of Atlanta. [Downloadable!]
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  16. Robert F. Engle & Victor K. Ng, 1991. "Measuring and Testing the Impact of News on Volatility," NBER Working Papers 3681, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  17. Michael D. McKenzie, Heather Mitchell, Robert D. Brooks, Robert W. Faff, 2001. "Power ARCH modelling of commodity futures data on the London Metal Exchange," European Journal of Finance, Taylor and Francis Journals, vol. 7(1), pages 22-38, March. [Downloadable!] (restricted)
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  18. Trino-Manuel Ñíguez, 2008. "Volatility and VaR forecasting in the Madrid Stock Exchange," Spanish Economic Review, Springer, vol. 10(3), pages 169-196, September. [Downloadable!] (restricted)
  19. Rockinger, M. & Jondeau, E., 2001. "Entropy Densities: with an Application to Autoregressive Conditional Skewness and Kurtosis," Documents de Travail 79, Banque de France. [Downloadable!]
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