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Conditional Volatility and Distribution of Exchange Rates: GARCH and FIGARCH Models with NIG Distribution

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Author Info
Rehim KiliƧ (Georgia Institute of Technology)
Abstract

This paper extends the Fractionally integrated GARCH (FIGARCH) model by incorporating Normal Inverse Gaussian Distribution (NIG). The proposed model is flexible and allows one to model time-variation, long memory, fat tails as well as asymmetry and skewness in the distribution of financial returns. GARCH and FIGARCH models for daily log exchange rate returns with Normal, Student's t and NIG error distributions as well as GARCH/FIGARCH-in-mean models with t errors are estimated and compared both in terms of sample fit as well as out-of-the-sample predictive ability in several dimensions. The FIGARCH model with symmetric and asymmetric NIG errors outperform alternatives both in-sample fit and 1-day and 5-day ahead predictions of the quartiles of the exchange rate return distributions.

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Publisher Info
Article provided by Berkeley Electronic Press in its journal Studies in Nonlinear Dynamics & Econometrics.

Volume (Year): 11 (2007)
Issue (Month): 3 ()
Pages: 1430-1430
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Handle: RePEc:bep:sndecm:11:2007:3:1430-1430

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Related research
Keywords: FIGARCH NIG distribution hyperbolic memory exchange rate

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  13. Rehim Kili&art1;, 2004. "On the long memory properties of emerging capital markets: evidence from Istanbul stock exchange," Applied Financial Economics, Taylor and Francis Journals, vol. 14(13), pages 915-922, September. [Downloadable!] (restricted)
  14. Charles Engel, 1996. "The Forward Discount Anomaly and the Risk Premium: A Survey of Recent Evidence," NBER Working Papers 5312, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  15. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April. [Downloadable!] (restricted)
  16. Kim, Sangjoon & Shephard, Neil & Chib, Siddhartha, 1998. "Stochastic Volatility: Likelihood Inference and Comparison with ARCH Models," Review of Economic Studies, Blackwell Publishing, vol. 65(3), pages 361-93, July. [Downloadable!] (restricted)
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  17. Baillie, Richard T. & Osterberg, William P., 2000. "Deviations from daily uncovered interest rate parity and the role of intervention," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 10(3-4), pages 363-379, December. [Downloadable!] (restricted)
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