考虑失业会如何影响索洛增长模型。假定产出是根据生产函数Y=Ka[(1-u<sup>*</sup>)L]1-a而生产的。式中,K为资本;L为劳动;u<sup>*</sup>为自然失业率。国民储蓄率为s,劳动力增长率为n。资本折旧率为δ。
a.把人均产出(y=Y/L)表示为人均资本(k=K/L)和自然失业率的函数。描述该经济的稳定状态。
b.假定政府政策的某些变化降低了自然失业率。描述这一变化随时间的推进如何影响产出。对产出的稳定状态的影响大于还是小于立即的影响?请解释。
Consider how unemployment would affect the Solow growth model. Suppose that output is produced according to the production function Y=Kα[(1-u<sup>*</sup>)L]1-α,where K is capital, L is the labor force, and u<sup>*</sup> is the natural rate of unemployment. The national saving rate is s, the labor force grows at rate n, and capital depreciates at rate δ.
a.Express output per worker (y=Y/L) as a function of capital per worker (k=K/L) and the natural rate of unemployment. Describe the steady state of this economy.
b.Suppose that some change in government policy reduces the natural rate of unemployment. Describe how this change affects output both immediately and over time. Is the steady-state effect on output larger or smaller than the immediate effect? Explain.
A.该经济体经济增速将永久性的上升
B.该经济体的人均资本将会永远保持增长
C.该经济体的资本与劳动比将会下降
D.该经济体将保持高增长率,直到达到一个更高的资本劳动比
A.储蓄率决定了消费与投资在国民收人中所占的比率,储蓄率上升,消费上升
B.储蓄率高的国家经济增长率一定比其他国家高
C.经济能自动趋向黄金率水平的稳定状态
D.从长期看,经济总能自动趋向稳定状态
a.在初始稳定状态,储蓄率应该是多少?[提示:使用稳定状态的关系式:sy=(δ+n+g)k]
b.在初始稳定状态,资本的边际产量是多少?
c.假设公共政策提高了储蓄率,从而使经济达到了资本的黄金律水平。在黄金律稳定状态,资本的边际产量将是多少?比较黄金稳定状态的边际产量和初始稳定状态的边际产量,并解释。
d.在黄金律稳定状态,资本—产出比率将是多少?(提示:对柯布—道格拉斯生产函数来说,资本—产出比率与资本的边际产量是相关的。)
e.要达到黄金律稳定状态,储蓄率必须是多少?
In the United States, the capital share of GDP is about 30 percent; the average growth in output is about 3 percent per year; the depreciation rate is about 4 percent per year; and the capital-output ratio is about 2.5. Suppose that the production function is Cobb-Douglas, So that the capital share in output is constant, and that the United States has been in a steady state.
a.What must the saving rate be in the initial steady state? [Hint: Use the steady-state relationship, sy=(δ+n+g)k]
b.What is the marginal product of capital in the initial steady state?
c.Suppose that public policy raises the saving rate So that the economy reaches the Golden Rule level of capital. What will the marginal product of capital be at the Golden Rule steady state? Compare the marginal product at the Golden Rule steady state to the marginal product in the initial steady state. Explain.
d.What will the capital-output ratio be at the Golden Rule steady state? (Hint: For the Cobb-Douglas production function, the capital-output ratio is related to the marginal product of capital.)
e.What must the saving rate be to reach the Golden Rule steady state?
根据索洛模型,下列()不会导致人均收入的趋同(收敛)。
A.各国物质资本净投资增加了l00万
B.穷国人口的快速增长
C.各国教育净投资增加了l00万
D.资本和劳动在国际间的流动
在新古典增长模型中,人均生产函数为y=f(k)=2k-0.5k2
人均储蓄率为0.3,人口增长率为0.03,求: