Exam 8: Economic Growth I: Capital Accumulation and Population Growth

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The Golden Rule level of capital accumulation is the steady state with the highest level of:

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The initial steady-state level of capital per worker in Macroland is 5. The Golden Rule level of capital per worker in Macroland is 8. a. What must change in Macroland to achieve the Golden Rule steady state? b. Why might the Golden Rule steady state be preferred to the initial steady state? c. Why might some current workers in MM acroland prefer the initial steady state to the Golden Rule steady state?

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The change in capital stock per worker ( Δ\Delta k) may be expressed as a function of s = the saving ratio, f(k) = output per worker, k = capital per worker, and δ\delta = the depreciation rate, by the equation:

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An increase in the rate of population growth with no change in the saving rate:

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What does the Solow model predict?

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In the Solow growth model, if two countries are otherwise identical (with the same production function, same saving rate, same depreciation rate, and same rate of population growth) except that Country Large has a population of 1 billion workers and Country Small has a population of 10 million workers, then the steady-state level of output per worker will be _____ and the steady-state growth rate of output per worker will be _____.

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How does population growth help explain why some countries are poor and some are rich?

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The production function y = f(k) means:

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If an economy with no population growth or technological change has a steady-state MPK of 0.125, a depreciation rate of 0.1, and a saving rate of 0.225, then the steady-state capital stock:

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In the steady state with no population growth or technological change, the capital stock does not change because investment equals:

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When f(k) is drawn on a graph with increases in k noted along the horizontal axis, the slope of the line denotes:

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Consider two countries that are otherwise identical (have the same saving rates and depreciation rates), but the population of Country Large is 100 million, while the population of Country Small is 10 million. Use the Solow model with no technological change to compare the steady-state levels of output per worker if: a. the population growth rates are the same in the two countries. b. the population growth rate is higher in Country Large.

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In the Solow growth model of an economy with population growth but no technological change, the break-even level of investment must do all of the following except:

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According to Kremer, large populations:

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The Golden Rule level of the steady-state capital stock:

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It rains so much in the country of Tropicana that capital equipment rusts out (depreciates) at a much faster rate than it does in the country of Sahara. If the countries are otherwise identical, in which country will the Golden Rule level of capital per worker be higher? Illustrate graphically.

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______ cause(s) the capital stock to rise, while ______ cause(s) the capital stock to fall.

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If all wage income is consumed, all capital income is saved, and all factors of production earn their marginal products, then:

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If an economy is in a steady state with no population growth or technological change and the capital stock is below the Golden Rule:

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In the Solow growth model of Chapter 8, for any given capital stock, the ______ determines how much output the economy produces and the ______ determines the allocation of output between consumption and investment.

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