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The Review of Economics and Statistics Vol. 99 No. 2 2017

The Explicit Formula for the Hodrick-Prescott Filter in a Finite Sample

Adriana Cornea‐Madeira

open access

Abstract

We derive the exact expression for the weights of the Hodrick-Prescott (HP) filter in a finite sample without making any assumptions about the statistical properties of the time series. We use the results to give insights into the properties of the HP filter and to build a fast algorithm with computational improvements by a factor of up to three times in samples typical in economics.

DOI
10.1162/rest_a_00594
Volume
99
Issue
2
Pages
314-318
Language
en
Sources
openalex crossref

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