Linear Cointegration of Nonlinear Time Series with an Application to Interest Rate Dynamics
AbstractWe develop a representation of nonlinear integrated vector processes based on the martingale representation theorem of Hall and Heyde (1980). In the representation, linear combinations of the components of the vector process may be stationary, so the system may be linearly cointegrated, yet exhibit nonlinear stationary, or short-run, dynamics. We test for linear cointegration relations with nonlinear dynamics in weekly U.S. interest rates. We find that the individual rates are I(1) and that the system is linearly cointegrated. Furthermore, both cointegration relations exhibit nonlinear dynamics so the the system's short-run dynamics are nonlinear.
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Bibliographic InfoArticle provided by De Gruyter in its journal Studies in Nonlinear Dynamics & Econometrics.
Volume (Year): 12 (2008)
Issue (Month): 1 (March)
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Web page: http://www.degruyter.com
Other versions of this item:
- Barry E. Jones & Travis D. Nesmith, 2006. "Linear cointegration of nonlinear time series with an application to interest rate dynamics," Finance and Economics Discussion Series 2007-03, Board of Governors of the Federal Reserve System (U.S.).
- C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
- C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models
- C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
- C82 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Methodology for Collecting, Estimating, and Organizing Macroeconomic Data
- E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates
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