Why You Should Never Use the Hodrick-Prescott Filter
指出霍德里克-普雷斯科特滤波器会引入虚假的动态关系,样本末端滤波值异常,且平滑参数常与标准做法不符,并提出了一个更好的替代方法。
Abstract Here’s why. (a) The Hodrick-Prescott (HP) filter introduces spurious dynamic relations that have no basis in the underlying data-generating process. (b) Filtered values at the end of the sample are very different from those in the middle and are also characterized by spurious dynamics. (c) A statistical formalization of the problem typically produces values for the smoothing parameter vastly at odds with common practice. (d) There is a better alternative. A regression of the variable at date t on the four most recent values as of date t - h achieves all the objectives sought by users of the HP filter with none of its drawbacks.