Consider a closed economy in which the population grows at the rate of 1% per year....

Consider a closed economy in which the population grows at the rate of 1% per year. The per-worker production function is y = 6 * ((K)^0.5), where y is output per worker and k is capital per worker. The depreciation rate of capital d is 14% per year.

a. Households consume 90% of income and save the remaining 10% of income. There is no government. What are the steady-state values of capital per worker, output per worker, consumption per worker, and investment per worker?

b. Suppose that the country wants to increase its steady state value of output per worker. What steady-state value of the capital-labor ratio is needed to double the steady-state value of output per capita? What fraction of income would households have to save to achieve a steady-state level of output per worker that is twice as high as in part (a)?

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Rahul Sunny answered 1 year ago

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