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In the Solow model without technological change, if the saving rate is 20%, population growth is 2%, the depreciation rate is 2%, and the capital share is 50%, then the economy has capital per worker:

A. Equal to the golden rule capital per worker
B. Less than the golden rule capital per worker
C. More than the golden rule capital per worker
D. We cannot tell anything about the capital per worker

Answer :

Final answer:

The capital per worker in the Solow model without technological change depends on the saving rate, population growth rate, depreciation rate, and capital share. Without further information, we cannot determine whether it is equal to, less than, or more than the golden rule capital per worker.

Explanation:

In the Solow model without technological change, the capital per worker is determined by the saving rate, population growth rate, depreciation rate, and capital share.

The saving rate represents the portion of income that is saved and invested in the economy. A higher saving rate leads to a higher accumulation of capital per worker.

The population growth rate represents the rate at which the labor force grows. A higher population growth rate leads to a higher number of workers, which can decrease the capital per worker.

The depreciation rate represents the rate at which the capital stock depreciates over time. A higher depreciation rate leads to a faster decay of the capital stock, which can decrease the capital per worker.

The capital share represents the portion of income that goes to capital. In this case, the capital share is 50%, which means that half of the income generated in the economy goes to capital.

Based on the given information, we can determine the capital per worker in the Solow model without technological change.

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