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The Australian economy is assumed to be in the steady state. The average capital income share is 0.3 between 1960 and 2022. The capital depreciation rate is 0.04 (4 percent) annually. Australia's average annual growth rate of real GDP (Chain volume measures) from 1960 to 2022 is 3.4%. The average capital-to-output ratio in Australia is 0.208. Please calculate the estimated golden rule saving rate in Australia.

Question

The Australian economy is assumed to be in the steady state. The average capital income share is 0.3 between 1960 and 2022. The capital depreciation rate is 0.04 (4 percent) annually. Australia's average annual growth rate of real GDP (Chain volume measures) from 1960 to 2022 is 3.4%. The average capital-to-output ratio in Australia is 0.208. Please calculate the estimated golden rule saving rate in Australia.

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Solution

To calculate the golden rule saving rate, we can use the following formula:

Golden Rule Saving Rate = Capital Income Share * (Depreciation Rate + Growth Rate) / Capital-to-Output Ratio

Given the values from the question:

Capital Income Share = 0.3 Depreciation Rate = 0.04 Growth Rate = 0.034 Capital-to-Output Ratio = 0.208

Substituting these values into the formula, we get:

Golden Rule Saving Rate = 0.3 * (0.04 + 0.034) / 0.208

Solving this equation gives us the golden rule saving rate.

This problem has been solved

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