44Specifically, instruments Zt = {Δ log Ct-2,Δ logCt -3,ΔlogYt- 2,Δ logYt-3,At-2,At-3,Δ8 logCt -2 , Δ8logYt- 2} , where Δ8 logxt-2 ≡ logxt-2 - log xt- 10 .