Endogenous Growth, Capital Utilization and Depreciation

We study an extended version of the one-sector AK growth model introducing adjustment and maintenance costs. Agents are allowed to under-use the installed capital and to vary the depreciation rate. The model is analyzed using particular functional forms and is solved in closed-form. We find that adjustment and maintenance costs (efficiency) reduce (increases) investment, depreciation, capital utilization and the rate of growth; impatience reduces the rate of growth but increases depreciation and utilization, which are also negatively related to the rate of population growth; the rate of growth appears positively correlated with the depreciation rate and the rate of capital utilization