The Hodrick-Prescott …lter is often applied to economic series as part of thestudy of business cycles. Its properties have most frequently been exploredthrough the development of essentially asymptotic results which are practicallyrelevant only some distance from series endpoints. Our concern...

In this paper we consider the situation where the deterministiccomponents of the processes generating individual series are linear trendsand the individual series are independent I(0) or I(1) processes. We showthat when those time series are used in ordinary least squares regression,the...