In an economy characterized by a Cobb-Douglas production function (without technical progress), labour’s share of income is 70% and the depreciation rate is 3% per annum. The economy is in a steady state with GDP growth at 4% per year and with a capital output ratio of 2. Find the saving rate and the marginal product of capital. At time t the saving rate in this economy increases to a new constant level, with the outcome that the economy converges to the Golden Rule steady state. What is the new savings rate, capital output ratio and marginal product of capital?

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In an economy characterized by a Cobb-Douglas production function (without technical progress), labour’s share of income is 70% and the depreciation rate is 3% per annum. The economy is in a steady state with GDP growth at 4% per year and with a capital output ratio of 2. Find the saving rate and the marginal product of capital. At time t the saving rate in this economy increases to a new constant level, with the outcome that the economy converges to the Golden Rule steady state. What is the new savings rate, capital output ratio and marginal product of capital?

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