RDP 2012-08: Estimation and Solution of Models with Expectations and Structural Changes Equation (A-9)

y ^ t | t = y ^ t | t − 1 + [ IE ( y t − y ^ t | t − 1 ) ( z t − z ^ t | t − 1 ) ′ ] [ IE ( z t − z ^ t | t − 1 ) ( z t − z ^ t | t − 1 ) ′ ] − 1 u t = y ^ t | t − 1 + Σ t | t − 1 H ′ ( H Σ t | t − 1 H ′ + V ) − 1 u t . MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGceaqabeaaceWG5b GbaKaadaWgaaWcbaGaamiDaerbwvMCKfMBHbacfaGaa8hFaiaadsha aeqaaOGaeyypa0JabmyEayaajaWaaSbaaSqaaiaadshacaGG8bGaam iDaiabgkHiTiaaigdaaeqaaOGaey4kaSYaamWabeaacaqGjbGaaeyr amaabmqabaGaamyEamaaBaaaleaacaWG0baabeaakiabgkHiTiqadM hagaqcamaaBaaaleaacaWG0bGaaiiFaiaadshacqGHsislcaaIXaaa beaaaOGaayjkaiaawMcaamaabmqabaGaamOEamaaBaaaleaacaWG0b aabeaakiabgkHiTiqadQhagaqcamaaBaaaleaacaWG0bGaaiiFaiaa dshacqGHsislcaaIXaaabeaaaOGaayjkaiaawMcaamaaCaaaleqaba GccWaGGBOmGikaaaGaay5waiaaw2faamaadmqabaGaaeysaiaabwea daqadeqaaiaadQhadaWgaaWcbaGaamiDaaqabaGccqGHsislceWG6b GbaKaadaWgaaWcbaGaamiDaiaacYhacaWG0bGaeyOeI0IaaGymaaqa baaakiaawIcacaGLPaaadaqadeqaaiaadQhadaWgaaWcbaGaamiDaa qabaGccqGHsislceWG6bGbaKaadaWgaaWcbaGaamiDaiaacYhacaWG 0bGaeyOeI0IaaGymaaqabaaakiaawIcacaGLPaaadaahaaWcbeqaaO Gamai4gkdiIcaaaiaawUfacaGLDbaadaahaaWcbeqaaiabgkHiTiaa igdaaaGccaWG1bWaaSbaaSqaaiaadshaaeqaaaGcbaGaeyypa0Jabm yEayaajaWaaSbaaSqaaiaadshacaGG8bGaamiDaiabgkHiTiaaigda aeqaaOGaey4kaSIaeu4Odm1aaSbaaSqaaiaadshacaGG8bGaamiDai abgkHiTiaaigdaaeqaaOGabmisayaafaWaaeWabeaacaWGibGaeu4O dm1aaSbaaSqaaiaadshacaGG8bGaamiDaiabgkHiTiaaigdaaeqaaO GabmisayaafaGaey4kaSIaamOvaaGaayjkaiaawMcaamaaCaaaleqa baGaeyOeI0IaaGymaaaakiaadwhadaWgaaWcbaGaamiDaaqabaGcca GGUaaaaaa@9F2A@