We show that the trend of the one-sided HP filter can be asymptotically approximated by the Holt-Winters (HW) filter. The later is an elegant, moving average representation and facilitates the computation of trends tremendously. We confirm the accuracy of this approximation empirically by...

We show that the trend of the one-sided HP filter can be asymptotically approximated by the Holt-Winters (HW) filter. The later is an elegant, moving average representation and facilitates the computation of trends tremendously. We confirm the accuracy of this approximation empirically by...

Few, if any, of the macro stress tests undertaken before the current crisis uncovered significant vulnerabilities. This article examines the reasons for the poor performance by comparing the outcomes of simple stress tests with actual events for a large sample of historical banking crises. The...