# A New Class of Bivariate Threshold Cointegration Models

## Author

Listed:
• Biqing Cai
• Jiti Gao
• Dag Tjøstheim

## Abstract

In this article, we introduce a new class of bivariate threshold VAR cointegration models. In the models, outside a compact region, the processes are cointegrated, while in the compact region, we allow different kinds of possibilities. We show that the bivariate processes form a 1/2-null recurrent system. We also find that the convergence rate for the estimators for the coefficients in the outside regime is T$\sqrt{T}$, while the convergence rate for the estimators for the coefficients in the middle regime is T1/4. Moreover, we show that the convergence rate of the cointegrating coefficient is T, which is same as for the linear cointegration model. The Monte Carlo simulation results suggest that the estimators perform reasonably well in finite samples. Applying the proposed model to study the dynamic relationship between the federal funds rate and the 3-month Treasury bill rate, we find that cointegrating coefficients are the same for the two regimes while the short run loading coefficients are different.

## Suggested Citation

• Biqing Cai & Jiti Gao & Dag Tjøstheim, 2017. "A New Class of Bivariate Threshold Cointegration Models," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 35(2), pages 288-305, April.
• Handle: RePEc:taf:jnlbes:v:35:y:2017:i:2:p:288-305
DOI: 10.1080/07350015.2015.1062385
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File URL: http://hdl.handle.net/10.1080/07350015.2015.1062385
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## References listed on IDEAS

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### JEL classification:

• C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
• C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
• G01 - Financial Economics - - General - - - Financial Crises

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