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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=0.2 and the depreciation rate is 𝛿=0.05. The steady state capital/output ratio is?Group of answer choices

Question

Consider a basic Solow–Swan model with constant labour force L and constant total factor productivity A. Suppose the saving rate is 𝑠=0.2 and the depreciation rate is 𝛿=0.05. The steady state capital/output ratio is?Group of answer choices

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Solution

In the Solow-Swan model, the steady-state capital-output ratio (k*) is given by the equation:

k* = s / (n + g + δ)

where: s = saving rate n = population growth rate g = technological progress rate δ = depreciation rate

In this case, we are given that s = 0.2 and δ = 0.05. The model assumes constant labour force and total factor productivity, which means n = g = 0.

Substituting these values into the equation, we get:

k* = 0.2 / (0 + 0 + 0.05) = 0.2 / 0.05 = 4

So, the steady-state capital-output ratio is 4.

This problem has been solved

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