The Treasury Yield Curve as a Cointegrated System
检验了从3个月到30年期的七种国债利率的时间关系,发现它们存在协整关系,且基于误差修正模型的预测优于忽略协整的VAR模型,支持套利限制利率偏离的观点。
This paper examines the temporal relationship between interest rates on Treasury securities ranging in maturity from three months to 30 years. We find strong empirical support that the seven Treasury rates selected are cointegrated, a conclusion that is insensitive to the normalization chosen. In particular, the hypothesis of noncointegration is rejeeted decisively regardless of the rate selected as the dependent variable in the cointegrating equation. To determine whether this information can be used to improve forecasts of Treasury rates, the seven rates are forecasted with a corresponding erroreorrection model that is shown to outperform an augmented VAR model that ignores the cointegration of the rates. The results are consistent with the belief that arbitrage limits the extent to which rates on different maturities of a given security diverge. In addition, the results confirm the appropriateness of imposing a common stochastic process for interest rates in equilibrium models of the term structure.