Hello. I'm trying to implement the Gallego-Johnson method for building
confidence intervals for the HP filter. The methodology is explained in this
diagram:
I wrote the following code:
smpl full
genr gdp_d11 = pbip_d11
genr cycle = hpfilt(gdp_d11)
genr trend = gdp_d11-cycle
matrix A = {}
matrix A = A ~ {cycle}
scalar n = 1000
loop for counter=1..n --quiet
genr auxvar1=trend+resample(cycle,22)
genr auxvar2=auxvar1-hpfilt(auxvar1)
genr auxvar3 = hpfilt(auxvar1)
matrix A = A ~ {auxvar3}
endloop
mubgap=quantile(transp(A),0.95)
mlbgap=quantile(transp(A),0.05)
series ubgap=mubgap
series lbgap=mlbgap
genr ubgap=ubgap+cycle
genr lbgap=cycle-lbgap
But the outputs are wrong. I don't get what I'm doing wrong. I'd be grateful
for some help.
Thanks!
PC