What are the two ways to determine the Golden Rule level of the capital stock?Find the capital stock at which steady-state consumption is maximized,and find the capital stock at which the the depreciation rate equals the saving rate.Find the capital stock at which steady-state consumption is maximized, and find the capital stock at which the net marginal product of capital equals zero.Find the capital stock at the saving rate is maximized, and find the capital stock at which the net marginal product of capital equals zero.Find the capital stock at which capital per worker is maximized, and find the capital stock at which the marginal product of capital equals the saving rate.
Question
What are the two ways to determine the Golden Rule level of the capital stock?Find the capital stock at which steady-state consumption is maximized,and find the capital stock at which the the depreciation rate equals the saving rate.Find the capital stock at which steady-state consumption is maximized, and find the capital stock at which the net marginal product of capital equals zero.Find the capital stock at the saving rate is maximized, and find the capital stock at which the net marginal product of capital equals zero.Find the capital stock at which capital per worker is maximized, and find the capital stock at which the marginal product of capital equals the saving rate.
Solution
The Golden Rule level of capital stock can be determined in two ways:
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Find the capital stock at which steady-state consumption is maximized: This involves finding the level of capital stock where the consumption per worker is at its highest in the steady state. This is achieved when the marginal product of capital (MPK) equals the depreciation rate plus the rate of population growth and the rate of technological progress.
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Find the capital stock at which the net marginal product of capital equals zero: This involves finding the level of capital stock where the net marginal product of capital (the marginal product of capital minus the depreciation rate) is zero. This is achieved when the saving rate equals the sum of the depreciation rate, the rate of population growth, and the rate of technological progress.
These two methods are based on the Solow growth model, which is a model of long-run economic growth. The Golden Rule level of capital stock is the level that maximizes steady-state consumption per worker.
Similar Questions
The golden rule level of capital refers to:Question 5Select one:a.the level of capital that maximises consumption per worker.b.the level of capital that maximises the standard of living.c.the level of capital that maximises the level of output in the steady state.d.the level of capital that maximises output per worker.e.the level of capital that maximises consumption per worker in the steady state.
Suppose an economy is described by the Solow model. In this economy, the saving rate is 0.15, the depreciation rate is 0.1, the population growth rate is 0.02, and the rate of technological progress is 0.05. The economy is in a steady state. If the marginal product of capital at the steady state is 0.07, then:A.the economy has more capital than at the Golden Rule steady state.B.the economy has less capital than at the Golden Rule steady state.C.the economy could have more or less capital than at the Golden Rule steady state.D.an increase in the saving rate will increase steady-state consumption per effective worker.
Suppose a country is currently in a steady state, but it is not a Golden Rule steady state, and the current steady-state level of capital per worker is higher than the Golden Rule level of capital per worker.Briefly answer the following questions based on the above information and the basic Solow model.a. Should policymakers implement policies that will increase or decrease the saving rate?b. Will the saving rate change proposed in your answer to a. harm the economy during the transition to the Golden Rule steady state? In your answer, refer to output per worker, consumption per worker, and investment per worker.
In an economy where consumption, savings and output is dictated by the basic Solow model, the per worker production function is given as: y= . Capital depreciates at a rate of 0.2. The savings rate is currently 0.4. What is the golden rule level of output per worker?A.6.25B.2.5C.0.5D.2
Two countries, Alpha and Beta, have the same Cobb-Douglas production function: . Suppose the Solow growth model with population growth and technological progress describes both economies. The parameters of the two economies are indicated in the table below.Based on the above information, answer the following questions.In which country will the Golden Rule level of capital per effective worker be higher? Briefly explain your answer. (Note: No calculations are required). (2 marks)Which country will have the higher Golden Rule saving rate? (Note: No calculations are required). (1 mark)Suppose the saving rate of Beta falls to 15%. What will happen to the steady-state level of income per effective worker in response to the saving rate change? (Note: No calculations are required). (1 mark)
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