RDP 9208: Credit Supply and Demand and the Australian Economy Equation

f D ( Q t )= 1 2πσ D   exp[ − 1 2 σ D 2 ( Q t −β ′ D −β ′ D X Dt ) 2 ] f S ( Q t )= 1 2πσ S   exp[ − 1 2 σ S 2 ( Q t −β ′ S −β ′ S X St ) 2 ] F D ( Q t )= 1 2πσ D   ∫ Q t ∞ exp[ − 1 2 σ D 2 ( D t −β ′ D −β ′ D X Dt ) 2 ]   dD t F S ( Q t )= 1 2πσ S   ∫ Q t ∞ exp[ − 1 2 σ S 2 ( S t −β ′ S −β ′ S X St ) 2 ]   dS t MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGceaqabeaafaqaae qacaaabaGaaeOzamaaBaaaleaacaqGebaabeaakmaabmaabaGaaeyu amaaBaaaleaacaqG0baabeaaaOGaayjkaiaawMcaaiabg2da9maala aabaGaaGymaaqaamaakaaabaGaaeOmaiaabc8acaqGdpWaaSbaaSqa aiaabseaaeqaaaqabaaaaOGaaGPaVdqaaiGacwgacaGG4bGaaiiCam aadmaabaGaeyOeI0YaaSaaaeaacaaIXaaabaGaaGOmaiaabo8adaqh aaWcbaGaaeiraaqaaiaaikdaaaaaaOWaaeWaaeaacaqGrbWaaSbaaS qaaiaabshaaeqaaOGaeyOeI0IaaeOSdGGaaiab=jdiIoaaBaaaleaa caqGebaabeaakiabgkHiTiaabk7acqWFYaIOdaWgaaWcbaGaaeiraa qabaGccaqGybWaaSbaaSqaaiaabseacaqG0baabeaaaOGaayjkaiaa wMcaamaaCaaaleqabaGaaGOmaaaaaOGaay5waiaaw2faaaaaaeaafa qaaeqacaaabaGaaeOzamaaBaaaleaacaqGtbaabeaakmaabmaabaGa aeyuamaaBaaaleaacaqG0baabeaaaOGaayjkaiaawMcaaiabg2da9m aalaaabaGaaGymaaqaamaakaaabaGaaeOmaiaabc8acaqGdpWaaSba aSqaaiaabofaaeqaaaqabaaaaOGaaGPaVdqaaiGacwgacaGG4bGaai iCamaadmaabaGaeyOeI0YaaSaaaeaacaaIXaaabaGaaGOmaiaabo8a daqhaaWcbaGaae4uaaqaaiaaikdaaaaaaOWaaeWaaeaacaqGrbWaaS baaSqaaiaabshaaeqaaOGaeyOeI0IaaeOSdiab=jdiIoaaBaaaleaa caqGtbaabeaakiabgkHiTiaabk7acqWFYaIOdaWgaaWcbaGaae4uaa qabaGccaqGybWaaSbaaSqaaiaabofacaqG0baabeaaaOGaayjkaiaa wMcaamaaCaaaleqabaGaaGOmaaaaaOGaay5waiaaw2faaaaaaeaafa qaaeqacaaabaGaaeOramaaBaaaleaacaqGebaabeaakmaabmaabaGa aeyuamaaBaaaleaacaqG0baabeaaaOGaayjkaiaawMcaaiabg2da9m aalaaabaGaaGymaaqaamaakaaabaGaaeOmaiaabc8acaqGdpWaaSba aSqaaiaabseaaeqaaaqabaaaaOGaaGPaVdqaamaapedabaGaciyzai aacIhacaGGWbWaamWaaeaacqGHsisldaWcaaqaaiaaigdaaeaacaaI YaGaae4WdmaaDaaaleaacaqGebaabaGaaGOmaaaaaaGcdaqadaqaai aabseadaWgaaWcbaGaaeiDaaqabaGccqGHsislcaqGYoGae8NmGi6a aSbaaSqaaiaabseaaeqaaOGaeyOeI0IaaeOSdiab=jdiIoaaBaaale aacaqGebaabeaakiaabIfadaWgaaWcbaGaaeiraiaabshaaeqaaaGc caGLOaGaayzkaaWaaWbaaSqabeaacaaIYaaaaaGccaGLBbGaayzxaa aaleaacaqGrbWaaSbaaWqaaiaabshaaeqaaaWcbaGaeyOhIukaniab gUIiYdGccaaMc8UaaeizaiaabseadaWgaaWcbaGaaeiDaaqabaaaaa GcbaqbaeaabeGaaaqaaiaabAeadaWgaaWcbaGaae4uaaqabaGcdaqa daqaaiaabgfadaWgaaWcbaGaaeiDaaqabaaakiaawIcacaGLPaaacq GH9aqpdaWcaaqaaiaaigdaaeaadaGcaaqaaiaabkdacaqGapGaae4W dmaaBaaaleaacaqGtbaabeaaaeqaaaaakiaaykW7aeaadaWdXaqaai GacwgacaGG4bGaaiiCamaadmaabaGaeyOeI0YaaSaaaeaacaaIXaaa baGaaGOmaiaabo8adaqhaaWcbaGaae4uaaqaaiaaikdaaaaaaOWaae WaaeaacaqGtbWaaSbaaSqaaiaabshaaeqaaOGaeyOeI0IaaeOSdiab =jdiIoaaBaaaleaacaqGtbaabeaakiabgkHiTiaabk7acqWFYaIOda WgaaWcbaGaae4uaaqabaGccaqGybWaaSbaaSqaaiaabofacaqG0baa beaaaOGaayjkaiaawMcaamaaCaaaleqabaGaaGOmaaaaaOGaay5wai aaw2faaaWcbaGaaeyuamaaBaaameaacaqG0baabeaaaSqaaiabg6Hi LcqdcqGHRiI8aOGaaGPaVlaabsgacaqGtbWaaSbaaSqaaiaabshaae qaaaaaaaaa@EA4D@