Nonlinear equilibrium adjustment dynamics and predictability of the term structure of interest rates

We analyze money market dynamics under a long-run equilibrium framework where commonly-monitored spreads serve as error correction terms, derived from a structural model incorporating autocorrelated risk premia, interest rate smoothing and monetary policy feedback. Using a dataset of monthly observations of the spot next and four-, thirteen-, twenty six-and fifty two-week Treasury Bills rates for the United States, Germany and United Kingdom from January 1999 to April 2016, we investigate the power of the expectations hypothesis theory of interest rates taking into account long-run deviations from equilibrium and inherent nonlinearities. We reveal short-run dynamic adjustments for the term structure of the USA, Germany and the UK, which are subject to regime switches. When forecastability is tested during May 2016-October 2017, the MSIH-VECM outperforms systematically the VECM. This is the first attempt to explore the possibility of parameter instability as a crucial factor in deriving the rejection of the restricted version of the cointegration space. Moreover, we investigate the dynamic out-of-sample forecasts of the term structure to assess the effectiveness of nonlinear MS-VECM modeling in capturing the after-effects of the global crisis. Overall, our results suggest that regime shifts in the mean and variance of the term structure may be intertwined with changes in fundamentals, that play a role in driving interest rate regimes, in particular business cycle and inflation fluctuations.