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Journal of Banking & Finance Vol. 29 No. 5 2005

Multivariate term structure models with level and heteroskedasticity effects

Charlotte Christiansen

Aarhus Business College

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 γth power of the variable itself (level effects) and the conditional covariance matrix evolves according to a multivariate GARCH process (heteroskedasticity effects). The long-rate variance exhibits heteroskedasticity effects and level effects in accordance with the square-root model. The 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. The results are robust to the maturity of the interest rates.

DOI
10.1016/j.jbankfin.2003.11.004
Volume
29
Issue
5
Pages
1037-1057
Language
en
Sources
bibtex:phds-export.bib crossref openalex

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