Inflation,wealth and interest rates in an intertemporal optimizing model

This paper analyzes the relationship between the growth of the money supply and capital accumulation in a monetary optimizing model. Under certain conditions we show that a large intertemporal elasticity of substitution makes the nominal rates of interest undershoot its long-term value, that a low elasticity gives rise to overshooting, while a unitary elasticity is shown to make the nominal rate of interest a constant. These considerations plus explicit attention paid to the income and substitution effects induced by the changes in the nominal rates of interest provide us with an understanding of the correlation between growth of money and capital accumulation.