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Use the level or logarithm of GDP in HP filter?

Posted: Mon Jan 14, 2013 4:33 am
by cuccu
I see that in research papers their authors usually apply the HP filter with ln(GDP) instead of GDP at level, in order to find out business cycles.
Actually thus far I have not understood mathematical implications regarding using the logarithm (How to link to a recession?...). Any explanation in detail is much appreciated.

Re: Use the level or logarithm of GDP in HP filter?

Posted: Mon Jan 14, 2013 7:53 am
by startz
GDP has roughly constant percentage growth over long periods, as opposed to linear growth. Hence the log transformation.

Re: Use the level or logarithm of GDP in HP filter?

Posted: Mon Jan 14, 2013 9:23 am
by cuccu
Hi startz, what advantage would we have when applying the HP filter to this transformed series?
(You could show me in form of math formulas if feel convenient)