Mapping prices into productivity in multisector growth models

Two issues related to mapping a multi-sector model into a reduced-form value-added model are often neglected: the composition of intermediate goods, and the distinction between the productivity indices for value added and for gross output. We illustrate their significance for growth accounting using the well known model of Greenwood et al. (in Am Econ Rev 87(3):342-362, 1997), who find that about 60% of economic growth can be attributed to investment-specific technical change (ISTC). We investigate the role of intermediate goods in their framework and find that, taking into account the composition of intermediates, ISTC may well account for between 93 and 96% of post-war US growth.