Nonlinearities in Exchange rates: Double EGARCH Threshold Models for Forecasting Volatility
AbstractThis paper illustrates how to specify and test a Double Threshold EGARCH Model for some important exchange rates. The analysis is monthly and refers to the period 1990.01-2007.06. The procedure involves testing for Threshold effects the residuals of a linear autoregressive model of the exchange rate that is taken as the starting point. If this preliminary testing is favourable to the hypothesis off nonlinearity one then specifies and estimates a threshold model using Tong (1983,1990) algorithm, Tong algorithm allows to specify separately two AR regimes and helps locating both the delay and the parameters of the regimes using a search procedure based on the AIC. Residual for the SETAR model are then further tested for conditional heteroskedasticity. If it is present then a Double symmetric EGARCH is fitted to the data by maximum likelihood. The result is compared with an AR GARCH model both in sample and out of sample to asses whether there is any forecasting superiority of the more complex model. Reported results favour this outcome. In the text of the paper we report explicitly the results for the Japanese yen and the British pound exchange rates vis a vis the US dollar, but the same procedure has been applied to many other exchange rate series with results favourable to the double variance model in more than 50% of the cases. We report the complete results in the appendix. We conclude that the proposed model is both feasible and of wide applicability to the analysis of volatility of exchange rates. We add two provisos: data are monthly and the period of estimation reflects only the most recent experience.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 8661.
Date of creation: 18 Jan 2008
Date of revision:
non linearity; forecasting volatility; exchange rates;
Find related papers by JEL classification:
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models &bull Diffusion Processes
This paper has been announced in the following NEP Reports:
- NEP-ALL-2008-05-10 (All new papers)
- NEP-ECM-2008-05-10 (Econometrics)
- NEP-ETS-2008-05-10 (Econometric Time Series)
- NEP-FOR-2008-05-10 (Forecasting)
- NEP-IFN-2008-05-10 (International Finance)
- NEP-ORE-2008-05-10 (Operations Research)
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- Brooks, Chris, 2001. "A Double-Threshold GARCH Model for the French Franc/Deutschmark Exchange Rate," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 20(2), pages 135-43, March.
- Robin L. Lumsdaine & Serena Ng, 1998.
"Testing for ARCH in the Presence of a Possibly Misspecified Conditional Mean,"
Boston College Working Papers in Economics
370, Boston College Department of Economics.
- Lumsdaine, Robin L. & Ng, Serena, 1999. "Testing for ARCH in the presence of a possibly misspecified conditional mean," Journal of Econometrics, Elsevier, vol. 93(2), pages 257-279, December.
- Boero, Gianna & Marrocu, Emanuela, 2002. "The Performance of Non-linear Exchange Rate Models: A Forecasting Comparison," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 21(7), pages 513-42, November.
- Li, C W & Li, W K, 1996. "On a Double-Threshold Autoregressive Heteroscedastic Time Series Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(3), pages 253-74, May-June.
- Blake, Andrew P. & Kapetanios, George, 2007.
"Testing for ARCH in the presence of nonlinearity of unknown form in the conditional mean,"
Journal of Econometrics,
Elsevier, vol. 137(2), pages 472-488, April.
- Andrew P. Blake & George Kapetanios, 2003. "Testing for ARCH in the Presence of Nonlinearity of Unknown Form in the Conditional Mean," Working Papers 496, Queen Mary, University of London, School of Economics and Finance.
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