Cointegration
摘要
As already mentioned in Chap. 7 , many raw economic time series are nonstationary and become stationary only after some transformation. The most common of these transformations is the formation of differences, perhaps after having taken logs. In most cases, first differences are sufficient to achieve stationarity. The so-transformed time series can then be analyzed in the context of VAR models as explained in previous chapters. However, many economic theories are formalized in terms of the original series so that we may want to use the VAR methodology to infer also the behavior of the original (untransformed) series. Yet by taking first differences, we lose probably important information on the levels. Thus, it seems worthwhile to develop an approach that allows us to take the information on the levels into account and at the same time take care of the nonstationary character of the variables. The concept of cointegration tries to achieve this double requirement.