RDP 2015-10: The Life of Australian Banknotes Equation

T ( t ) d d t T * ( t ) = d d t [ G ( 0 t D ( s ) d s + 0 t ( I ( s ) D ( s ) ) γ ( s ) d s ) ] = 0.5 G ( D ( t ) + I ( t ) ) MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGceaqabeaacaWGub WaaeWaaeaacaWG0baacaGLOaGaayzkaaWaaSaaaeaacaWGKbaabaGa amizaiaadshaaaGaamivaiaacQcadaqadaqaaiaadshaaiaawIcaca GLPaaacqGH9aqpdaWcaaqaaiaadsgaaeaacaWGKbGaamiDaaaadaWa daqaaiaadEeadaqadaqaamaapehabaGaamiramaabmaabaGaam4Caa GaayjkaiaawMcaaiaadsgacaWGZbGaey4kaSYaa8qCaeaadaqadaqa aiaadMeadaqadaqaaiaadohaaiaawIcacaGLPaaacqGHsislcaWGeb WaaeWaaeaacaWGZbaacaGLOaGaayzkaaaacaGLOaGaayzkaaGaeq4S dC2aaeWaaeaacaWGZbaacaGLOaGaayzkaaGaamizaiaadohaaSqaai aaicdaaeaacaWG0baaniabgUIiYdaaleaacaaIWaaabaGaamiDaaqd cqGHRiI8aaGccaGLOaGaayzkaaaacaGLBbGaayzxaaaabaGaeyypa0 JaaGimaiaac6cacaaI1aGaam4ramaabmaabaGaamiramaabmaabaGa amiDaaGaayjkaiaawMcaaiabgUcaRiaadMeadaqadaqaaiaadshaai aawIcacaGLPaaaaiaawIcacaGLPaaaaaaa@72CE@