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Consider the invertible reduced-from VAR with k variables: A(L)Y_t = u_t where A(L) is a lag polynomial and E[u_t u_t'] = Sigma, where Sigma has

Consider the invertible reduced-from VAR with k variables: A(L)Y_t = u_t where A(L) is a lag polynomial and E[u_t u_t'] = \Sigma, where \Sigma has non-zero diagonal entries. Assume, that there are k structural shocks that drive the system. Assume that the researcher has knowledge of short-run restrictions in order to identify the structural shock, s_{t,j} of the system. Show that in order to identify s_{t,j} and in order to compute IRFs with respect to that shock, the researcher doesn't have to identify the other structural shocks

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