RDP 2008-09: A Term Structure Decomposition of the Australian Yield Curve Equation

y = λ 1 f 1 ( 1 365 ) + ⋯ + λ D − 1 f D − 1 ( 1 365 ) + ( 1 − ∑ k = 1 D − 1 λ k ) f D ( 1 365 ) = λ 1 ( f 1 ( 1 365 ) − f D ( 1 365 ) ) + ⋯ + λ D − 1 ( f D − 1 ( 1 365 ) − f D ( 1 365 ) ) + f D ( 1 365 ) MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGceaqabeaacaWG5bGaeyypa0Jaeq4UdW2aaSbaaSqaaiaaigdaaeqaaOGaamOzamaaBaaaleaacaaIXaaabeaakiaacIcadaWcaaqaaiaaigdaaeaacaaIZaGaaGOnaiaaiwdaaaGaaiykaiabgUcaRiabl+UimjabgUcaRiabeU7aSnaaBaaaleaacaWGebGaeyOeI0IaaGymaaqabaGccaWGMbWaaSbaaSqaaiaadseacqGHsislcaaIXaaabeaakiaacIcadaWcaaqaaiaaigdaaeaacaaIZaGaaGOnaiaaiwdaaaGaaiykaiabgUcaRiaacIcacaaIXaGaeyOeI0YaaabCaeaacqaH7oaBdaWgaaWcbaGaam4AaaqabaaabaGaam4Aaiabg2da9iaaigdaaeaacaWGebGaeyOeI0IaaGymaaqdcqGHris5aOGaaiykaGqaciaa=zgadaWgaaWcbaGaamiraaqabaGccaGGOaWaaSaaaeaacaaIXaaabaGaaG4maiaaiAdacaaI1aaaaiaacMcaaeaacqGH9aqpcqaH7oaBdaWgaaWcbaGaaGymaaqabaGccaGGOaGaa8NzamaaBaaaleaacaaIXaaabeaakiaacIcadaWcaaqaaiaaigdaaeaacaaIZaGaaGOnaiaaiwdaaaGaaiykaiabgkHiTiaa=zgadaWgaaWcbaGaamiraaqabaGccaGGOaWaaSaaaeaacaaIXaaabaGaaG4maiaaiAdacaaI1aaaaiaacMcacaGGPaGaey4kaSIaeS47IWKaey4kaSIaeq4UdW2aaSbaaSqaaiaadseacqGHsislcaaIXaaabeaakiaacIcacaWFMbWaaSbaaSqaaiaadseacqGHsislcaaIXaaabeaakiaacIcadaWcaaqaaiaaigdaaeaacaaIZaGaaGOnaiaaiwdaaaGaaiykaiabgkHiTiaa=zgadaWgaaWcbaGaamiraaqabaGccaGGOaWaaSaaaeaacaaIXaaabaGaaG4maiaaiAdacaaI1aaaaiaacMcacaGGPaGaey4kaSIaa8NzamaaBaaaleaacaWGebaabeaakiaacIcadaWcaaqaaiaaigdaaeaacaaIZaGaaGOnaiaaiwdaaaGaaiykaaaaaa@9764@