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Multivariate Term Structure Models with Level and Heteroskedasticity Effects

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Abstract

The paper introduces and estimates a multivariate level-GARCH model for the long rate and the term structure spread where the conditional volatility is proportional to the y’th power of the variable itself (level effects) and the conditional covariance matrix evolves according to a multivariate GARCH process (heteroskedasticity effects). The conditional long rate variance exhibits heteroskedasticity effects and level effects in accordance with the square-root model. The conditional spread variance exhibits heteroskedasticity effects but no level effects. The level-GARCH model is preferred above the GARCH model and the level model. GARCH effects are more important than level effects.

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Bibliographic Info

Paper provided by University of Aarhus, Aarhus School of Business, Department of Business Studies in its series Finance Working Papers with number 02-19.

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Length: 29 pages
Date of creation: 09 May 2003
Date of revision:
Handle: RePEc:hhb:aarfin:2002_019

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Postal: The Aarhus School of Business, Fuglesangs Allé 4, DK-8210 Aarhus V, Denmark
Fax: + 45 86 15 19 43
Web page: http://www.asb.dk/about/departments/bs.aspx
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Keywords: Heteroskedasticity effects; Level effects; Multivariate level-GARCH model; Two-factor term structure model;

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Citations

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Cited by:
  1. Ramaprasad Bhar, 2010. "Stochastic Filtering With Applications In Finance:," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 7736.
  2. Sandy Suardi & O.T.Henry & N. Olekalns, . "Equity Return and Short-Term Interest Rate Volatility: Level Effects and Asymmetric Dynamics," MRG Discussion Paper Series 0206, School of Economics, University of Queensland, Australia.
  3. Charlotte Christiansen, 2007. "Level-ARCH Short Rate Models with Regime Switching: Bivariate Modeling of US and European Short Rates," CREATES Research Papers 2007-05, School of Economics and Management, University of Aarhus.
  4. Perignon, Christophe & Smith, Daniel R., 2007. "Yield-factor volatility models," Journal of Banking & Finance, Elsevier, vol. 31(10), pages 3125-3144, October.
  5. Daniel R. Smith & Christophe Parignon, 2004. "Modeling Yield-Factor Volatility," Econometric Society 2004 Australasian Meetings 307, Econometric Society.
  6. Shu Wu, 2005. "Interest Rate Risk and the Forward Premium Anomaly in Foreign Exchange Markets," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200519, University of Kansas, Department of Economics, revised Oct 2005.
  7. de Goeij, Peter & Marquering, Wessel, 2009. "Stock and bond market interactions with level and asymmetry dynamics: An out-of-sample application," Journal of Empirical Finance, Elsevier, vol. 16(2), pages 318-329, March.
  8. Goeij, P. C. de & Marquering, W., 2009. "Stock and bond market interactions with level and asymmetry dynamics: An out-of-sample application," Open Access publications from Tilburg University urn:nbn:nl:ui:12-3557318, Tilburg University.
  9. Al-Zoubi, Haitham A., 2009. "Short-term spot rate models with nonparametric deterministic drift," The Quarterly Review of Economics and Finance, Elsevier, vol. 49(3), pages 731-747, August.
  10. Bali, Turan G. & Wu, Liuren, 2006. "A comprehensive analysis of the short-term interest-rate dynamics," Journal of Banking & Finance, Elsevier, vol. 30(4), pages 1269-1290, April.
  11. Brown, Craig R. & Cyree, Ken B. & Griffiths, Mark D. & Winters, Drew B., 2008. "Further analysis of the expectations hypothesis using very short-term rates," Journal of Banking & Finance, Elsevier, vol. 32(4), pages 600-613, April.

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