郭同学2019-12-05 21:08:31
老师好,原版书P741-P742, 这两张截图我有些地方不明白。1 公式10,11 → 这两个公式,我没看懂 2 原版书 中说 :“ If the output-to-capital ratio is above its equilibrium level (ψ), the second term in Equations 10 and 11 is positive and the growth rates of output per capita and the capital-to-labor ratio are above the steady state rate [θ/(1 – α)]. This corresponds to a situation in which actual saving/investment exceeds required investment and abovetrend growth in per capita output is driven by an above-trend rate of capital deepening. This situation usually reflects a relatively low capital-to-labor ratio but could, at least in principle, arise from high TFP. Because α < 1, capital is growing faster than output and the output-to-capital ratio is falling. Over time, the growth rates of both output per capita and the capital-to-labor ratio decline to the steady state rate. 这一整段,我不是非常明白,麻烦给解释一下。多谢!
回答(1)
Johnny2019-12-06 11:19:03
同学你好,这里只要稍微了解即可,具体公式和推导过程无需掌握,图表也几乎不会考。
公式中是看Y/K是否等于Ψ,如果相等的话那么就处于均衡状态,均衡状态下y的增长率就是θ/(1-a),这点是在P737推导出的,如果Y/K大于Ψ的话那么y就是超额增长。这在Exhibit 14和15中能看出,当人均资本高于均衡时,人均产出也会高于均衡水平。
之后说到a<1并且资本增长率高于产出增长率,这个就可以用科布道格拉斯函数的公式F(K,L) = K^αL^(1–α)来看,由于constant return to scale,因此资本和劳动力同时增加相同百分比,会使得总产出增加同样的百分比,因此这里仅仅是资本增加一定比例而劳动力不变的话,总产出的增长率肯定会低于资本增长率。
新古典增长模型的话,个人认为在公式方面从P735掌握到P737的(8)即可,还有Exhibit 14和15要混个眼熟。比较重要的是P742-P743的implication of the Neoclassical Model好好看一下。
- 评论(0)
- 追问(0)


评论
0/1000
追答
0/1000
+上传图片