Abstract A model is developed to investigate the effect of energy investment on economic growth under a set of simplifying assumptions. The economy is treated as a two sector aggregate; the energy sector and the rest of the economy, whereas the model describing the energy-economy interaction is linear to the differential changes of the variables, adaptable to structural evolution and requires a modest amount of data for initialization. It can be used in a single stage or an iterative mode to produce outcomes for the short and medium run. The analysis reveals that energy productive investment has had an impact on the rate of formation of the non-energy capital stock and subsequently on economic growth. These effects appear amplified under a regime of increasing energy price.