This is with respect to co-integration when we are estimating the long-run and short run relationships and question is if we have ten year monthly data then what we mean by long-run and short run raltionship
This example helps to illustrate the difference between short term and long term, taken from Stata.com:
Suppose that we compare housing markets between two cities. If the housing markets become too dissimilar in the short run, people and businesses will migrate, bringing
the average housing prices back toward each other. We therefore expect the series of average housing in one city to be cointegrated with the series of average housing prices in the other city, in the long run.
It depends on particular data. When there is some cointegration relationship, it is there usually because there is some force pushing two time series together. What is "long run" depends how "strong that force is". For example, when you have one stock traded at two different exchanges, prices will be very similar. If they were not, somebody would buy stock at one exchange and sell it in another exchange. Therefore, in this case "arbitrage force" will work very quickly, for example within seconds. However, in most other cases in economics, similar arbitrage is not possible. Therefore, in some other cases, even 10 years might not be enough for 2 time series to come together.
If you have monthly data for ten years & suggest that you have variable B as dependent and Variable A as independent,
1. Example for the short run - The impact of first month of A on the twelfth month of B: Short term impact: You could run Granger Causality Test in order to estimate the same. Here you could estimate a feedback also, for ex : A’s impact on B & B’s impact on A
2. Example for the Long Run : The impact of first month of A on the 48th month (4th year) of B : Long Term impact: You could run Vector Auto Regression or Hong’s Model (2001) in order to estimate the same.
the short run means the all factors of the economy can not be changed in the particular period in the meantime long rnu means all factors can be changed in the period. More explanation please see this attachment
How did you indicate that the short-run is measured on 12 months and the long-run is measured on 4 years? I have a semi-annually data for 16 years, so the long run is also measured on 4 years?
Dear Naveed, suppose you estimate an econometrics model based on quarterly data, every period (quarter) refer to short run relationship. If you use VECM for example, and the the error correction term (ECT) =0.35, the long run relationship will be three quarters , and so on for ARDL and VAR..... etc, in general short run concept refer to one year at most, and long run concept refer to more than one year.
This is a fascinating issue; yet, based on the comments, it appears that the substance of long- and short-run estimation, as well as the policy implications, has been overlooked.
The short run is a period of time in which the quantity of at least one input is fixed and the quantities of the other inputs can be varied. The long run is a period of time in which the quantities of all inputs can be varied