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The Hodrick-Prescott filter computes the non-linear trend{gt}Tt=1of an economic time series{yt}Tt=1by solving: T T12 2 min (ytgt) +(gt+1gt)(gtgt1). {gt}Tt=1 How does a decrease inaffect the

The Hodrick-Prescott filter computes the non-linear trend{gt}Tt=1of an economic time series{yt}Tt=1by solving:

T T12 2

min (ytgt) +(gt+1gt)(gtgt1).

{gt}Tt=1

How does adecreaseinaffect the behaviour of{gt}Tt=1? Explain.

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