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Consider a basic Solow–Swan model with constant labour force L and constant total factor productivity A. Suppose the saving rate is 𝑠=0.3 and the depreciation rate is 𝛿=0.05 . Suppose also that steady-state output per worker is 100. Steady state investment per worker is:

Question

Consider a basic Solow–Swan model with constant labour force L and constant total factor productivity A. Suppose the saving rate is 𝑠=0.3 and the depreciation rate is 𝛿=0.05 . Suppose also that steady-state output per worker is 100. Steady state investment per worker is:

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Solution

In the Solow-Swan model, steady-state investment per worker is given by the equation I/L = sY/L, where I is investment, L is labor, s is the savings rate, and Y is output.

Given that the steady-state output per worker (Y/L) is 100 and the savings rate (s) is 0.3, we can substitute these values into the equation to find the steady-state investment per worker.

I/L = sY/L I/L = 0.3 * 100 I/L = 30

Therefore, the steady-state investment per worker is 30.

This problem has been solved

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