RDP 2013-08: International Business Cycles with Complete Markets Equation

R j ( s t , s t + 1 ) = ϕ ( i j ( s t ) k j ( s t 1 ) ) z j ( s t , s t + 1 ) f 1 ( k j ( s t ) , n j ( s t , s t + 1 ) ) + ( 1 δ + ϕ ( i j ( s t , s t + 1 ) k j ( s t ) ) ϕ ( i j ( s t , s t + 1 ) k j ( s t ) ) i j ( s t , s t + 1 ) k j ( s t ) ) × ϕ ( i j ( s t ) k j ( s t 1 ) ) ϕ ( i j ( s t , s t + 1 ) k j ( s t ) ) . MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGceiabbeaamAraai aadkfadaWgaaWcbaGaamOAaaqabaGcdaqadaqaaiaadohadaahaaWc beqaaiaadshaaaGccaGGSaGaam4CamaaBaaaleaacaWG0bGaey4kaS IaaGymaaqabaaakiaawIcacaGLPaaacqGH9aqpcuaHvpGzgaqbamaa bmaabaWaaSaaaeaacaWGPbWaaSbaaSqaaiaadQgaaeqaaOWaaeWaae aacaWGZbWaaWbaaSqabeaacaWG0baaaaGccaGLOaGaayzkaaaabaGa am4AamaaBaaaleaacaWGQbaabeaakmaabmaabaGaam4CamaaCaaale qabaGaamiDaiabgkHiTiaaigdaaaaakiaawIcacaGLPaaaaaaacaGL OaGaayzkaaGaamOEamaaBaaaleaacaWGQbaabeaakmaabmaabaGaam 4CamaaCaaaleqabaGaamiDaaaakiaacYcacaWGZbWaaSbaaSqaaiaa dshacqGHRaWkcaaIXaaabeaaaOGaayjkaiaawMcaaiaadAgadaWgaa WcbaGaaGOmaaqabaGcdaqadaqaaiaadUgadaWgaaWcbaGaamOAaaqa baGcdaqadaqaaiaadohadaahaaWcbeqaaiaadshaaaaakiaawIcaca GLPaaacaGGSaGaamOBamaaBaaaleaacaWGQbaabeaakmaabmaabaGa am4CamaaCaaaleqabaGaamiDaaaakiaacYcacaWGZbWaaSbaaSqaai aadshacqGHRaWkcaaIXaaabeaaaOGaayjkaiaawMcaaaGaayjkaiaa wMcaaaqaaiabgUcaRmaabmaabaGaaGymaiabgkHiTiabes7aKjabgU caRiabew9aMnaabmaabaWaaSaaaeaacaWGPbWaaSbaaSqaaiaadQga aeqaaOWaaeWaaeaacaWGZbWaaWbaaSqabeaacaWG0baaaOGaaiilai aadohadaWgaaWcbaGaamiDaiabgUcaRiaaigdaaeqaaaGccaGLOaGa ayzkaaaabaGaam4AamaaBaaaleaacaWGQbaabeaakmaabmaabaGaam 4CamaaCaaaleqabaGaamiDaaaaaOGaayjkaiaawMcaaaaaaiaawIca caGLPaaacqGHsislcuaHvpGzgaqbamaabmaabaWaaSaaaeaacaWGPb WaaSbaaSqaaiaadQgaaeqaaOWaaeWaaeaacaWGZbWaaWbaaSqabeaa caWG0baaaOGaaiilaiaadohadaWgaaWcbaGaamiDaiabgUcaRiaaig daaeqaaaGccaGLOaGaayzkaaaabaGaam4AamaaBaaaleaacaWGQbaa beaakmaabmaabaGaam4CamaaCaaaleqabaGaamiDaaaaaOGaayjkai aawMcaaaaaaiaawIcacaGLPaaadaWcaaqaaiaadMgadaWgaaWcbaGa amOAaaqabaGcdaqadaqaaiaadohadaahaaWcbeqaaiaadshaaaGcca GGSaGaam4CamaaBaaaleaacaWG0bGaey4kaSIaaGymaaqabaaakiaa wIcacaGLPaaaaeaacaWGRbWaaSbaaSqaaiaadQgaaeqaaOWaaeWaae aacaWGZbWaaWbaaSqabeaacaWG0baaaaGccaGLOaGaayzkaaaaaaGa ayjkaiaawMcaaaqaaiabgEna0kqbew9aMzaafaWaaeWaaeaadaWcaa qaaiaadMgadaWgaaWcbaGaamOAaaqabaGcdaqadaqaaiaadohadaah aaWcbeqaaiaadshaaaaakiaawIcacaGLPaaaaeaacaWGRbWaaSbaaS qaaiaadQgaaeqaaOWaaeWaaeaacaWGZbWaaWbaaSqabeaacaWG0bGa eyOeI0IaaGymaaaaaOGaayjkaiaawMcaaaaaaiaawIcacaGLPaaarm Wu51MyVXgiuL2zLjhifHhCLjhDaGqbaiab=reiKkqbew9aMzaafaWa aeWaaeaadaWcaaqaaiaadMgadaWgaaWcbaGaamOAaaqabaGcdaqada qaaiaadohadaahaaWcbeqaaiaadshaaaGccaGGSaGaam4CamaaBaaa leaacaWG0bGaey4kaSIaaGymaaqabaaakiaawIcacaGLPaaaaeaaca WGRbWaaSbaaSqaaiaadQgaaeqaaOWaaeWaaeaacaWGZbWaaWbaaSqa beaacaWG0baaaaGccaGLOaGaayzkaaaaaaGaayjkaiaawMcaaiaac6 caaaaa@DED7@