Effective Rates of Sectoral Productivity Change

Abstract

In effective rates of sectoral productivity change, some of the inputs are treated as produced. Here, this is extended to cover all the inputs. All the sectoral rates of productivity growth based on a static input–output (IO) framework are shown to be equal to the corresponding rates of decrease in the production price. For the direct rate, all the input prices are treated as exogenous constants. For the effective rates, prices of the inputs, which are treated as produced, are determined by production technology. The fully effective rate is derived from the price equations of the closed dynamic IO model. It is equal to the rate of decrease in the production price when the prices of all inputs, human capital and human time included, depend on production technology. The overall rate, obtained as a weighted sum of the fully effective sectoral rates, is equal to the rate of growth in the growth potential of the economy.