My requirement is to forecast gdp using a simple DSGE. The final expected outcome is to predict the real GDP growth for next 5 years from the Q4 2020 GDP (I have a dataset with real GDP figures upto Q4 2020) . For eg;
Q1 2021 5.5%
Q2 2021 4.3%
and so on.
I can use the estimation
to estimate the relevant parameters. The dataset is deseasoned, logged, and detrended (using one-side HP filter). The forecasted data is in a specific form (deseasoned and detrended). My question is how to transform these output data back to the real gdp data so that I can calculated quarter to quarter GDP growth rates.