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A non-nested test of GARCH vs. EGARCH models

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  • Jung-Hee Lee
  • B. Wade Brorsen

Abstract

This study uses a Cox-type non-nested test. The test is obtained using Monte Carlo hypothesis tests with the log likelihood ratio as the test statistic. Monte Carlo methods are used to obtain the probability of a larger value of the test statistic under the null hypothesis. The approach used does not rely upon asymptotic normality. Using the maximum likelihood estimation technique, two competing time series models, generalized autoregressive conditional heteroscedasticity (GARCH) and exponential GARCH (EGARCH) models of daily spot prices of Deutsche mark are estimated. Using Monte Carlo hypothesis tests, then, p-values for GARCH vs. EGARCH models are calculated. The EGARCH model cannot be rejected, while the GARCH model is rejected.

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Bibliographic Info

Article provided by Taylor & Francis Journals in its journal Applied Economics Letters.

Volume (Year): 4 (1997)
Issue (Month): 12 ()
Pages: 765-768

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Handle: RePEc:taf:apeclt:v:4:y:1997:i:12:p:765-768

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Cited by:
  1. In, Francis & Brown, Rob & Fang, Victor, 2003. "Modeling volatility and changes in the swap spread," International Review of Financial Analysis, Elsevier, vol. 12(5), pages 545-561.
  2. M. Karanasos & J. Kim, 2003. "Moments of the ARMA--EGARCH model," Econometrics Journal, Royal Economic Society, vol. 6(1), pages 146-166, 06.
  3. Massimiliano Caporin & Michael McAleer, 2010. "Model Selection and Testing of Conditional and Stochastic Volatility Models," Working Papers in Economics 10/58, University of Canterbury, Department of Economics and Finance.
  4. Malmsten, Hans, 2004. "Evaluating exponential GARCH models," Working Paper Series in Economics and Finance 564, Stockholm School of Economics, revised 03 Sep 2004.
  5. Teräsvirta, Timo, 2006. "An introduction to univariate GARCH models," Working Paper Series in Economics and Finance 646, Stockholm School of Economics.
  6. Malmsten, Hans & Teräsvirta, Timo, 2004. "Stylized Facts of Financial Time Series and Three Popular Models of Volatility," Working Paper Series in Economics and Finance 563, Stockholm School of Economics, revised 03 Sep 2004.
  7. Batten, Jonathan & Hogan, Warren & In, Francis, 2002. "Valuing Credit Spreads on Quality Australian Dollar Eurobonds in a Multivariate EGARCH Framework," Australian Economic Papers, Wiley Blackwell, vol. 41(1), pages 115-28, March.
  8. Jonathan Batten & Francis In, 2006. "Dynamic interaction and valuation of quality yen Eurobonds in a multivariate EGARCH framework," Applied Financial Economics, Taylor & Francis Journals, vol. 16(12), pages 881-892.

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