Can all the regressors be endogenous in a given model? I'm trying to estimate the following model:
Labor demand=f(wages,lagged labor demand, GFCF, GDP, trade share, labor productivity, real exchange rate)... (1)
Wages= f(labor demand,lagged wages, GFCF, GDP, trade share, labor productivity, real exchange rate)...(2)

When i run endogeneity test in stata and dumitrescu hurlin test in Eviews, they say that all regressors are endogenous. Is this something normal or I'm doing something wrong?
Eagerly waiting for a reply.
In principle, there is nothing to exclude the case where all regressors are endogenous. 

My issue is that the Hurlin-Dumitrescu test has to do with Granger-causality, and Granger-causality examines the relation between the regressors and the dependent variable, not the relation between the regressors and the error term. On the other hand, endogeneity refers to the existence of correlation of the regressors with the error term.   

So it appears that the Hurlin-Dumitrescu test is of no use on testing for endogeneity. Do I miss something here?