In the Solow growth model, initially, the economy is in its steady state, at which the saving rate is lower than the Golden Rules saving rate. Suppose the saving rate is raised to the Golden Rules saving rate, which of the following is true for the effect on consumption per worker?A.Consumption per worker is always higher than the initial steady-state level of consumption in both the transition path and the new steady state.B.Consumption per worker is always lower than the initial steady-state level of consumption in both transition path and in the new steady state.C.Consumption per worker may be higher or lower than the previous steady-state level of consumption per worker on the transition path, but the new steady level of consumption per worker is higher.D.Consumption per worker may be higher or lower than the previous steady-state level of consumption on the transition path, but the new steady level of consumption per worker is lower.
Question
In the Solow growth model, initially, the economy is in its steady state, at which the saving rate is lower than the Golden Rules saving rate. Suppose the saving rate is raised to the Golden Rules saving rate, which of the following is true for the effect on consumption per worker?A.Consumption per worker is always higher than the initial steady-state level of consumption in both the transition path and the new steady state.B.Consumption per worker is always lower than the initial steady-state level of consumption in both transition path and in the new steady state.C.Consumption per worker may be higher or lower than the previous steady-state level of consumption per worker on the transition path, but the new steady level of consumption per worker is higher.D.Consumption per worker may be higher or lower than the previous steady-state level of consumption on the transition path, but the new steady level of consumption per worker is lower.
Solution
In the Solow growth model, if the economy is initially in a steady state where the saving rate is lower than the Golden Rule saving rate, and then the saving rate is increased to the Golden Rule saving rate, the effect on consumption per worker would be as follows:
C. Consumption per worker may be higher or lower than the previous steady-state level of consumption per worker on the transition path, but the new steady level of consumption per worker is higher.
Here's why:
The Golden Rule level of savings is the rate of savings that maximizes consumption per worker in the steady state. If the saving rate is increased to the Golden Rule level from a lower level, it means that more of the current output is being saved and invested, which leads to a higher capital stock in the future. This higher capital stock increases output and, therefore, potential consumption.
During the transition to the new steady state, consumption per worker could be higher or lower than the previous steady-state level. This is because the increase in savings reduces current consumption but increases future consumption. Whether consumption per worker is higher or lower during the transition depends on the specific dynamics of the economy, including the rates of depreciation, population growth, and technological progress.
However, once the economy reaches the new steady state with the Golden Rule level of savings, consumption per worker is higher than at the previous steady state. This is because the Golden Rule level of savings is the one that maximizes steady-state consumption per worker.
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