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三年小马哥 · 2020年10月12日

问一道题:NO.PZ201512020800000402

* 问题详情,请 查看题干

问题如下:

2. Based upon Exhibit 1, capital deepening as a source of growth was most important for:

选项:

A.

Country A.

B.

Country B.

C.

Country C.

解释:

A is correct.

The associate economist can measure the effect of pure capital deepening by measuring the difference of the growth rates of labor productivity and total factor productivity (TFP). The larger the difference, the more important capital deepening is as a source of economic   growth. From 2000–2010, Country A’s labor productivity grew by 2.4% per year, of which 0.6% came from TFP growth and 1.8% from capital deepening (2.4% – 0.6% = 1.8%).

考点Cobb-Douglas production function 的变形公式

解析先写出变形公式

一国人均产出也就是劳动效率的增加来自于两个方面:资本深化以及技术的进步

Growth rate of labor productivity= Growth rate of TFP+ Growth rate of capital deepening假设劳动力恒定不变

capital deepening%=y/y-T/T

最后计算结果是A国的数值最高(2.4% –  0.6% = 1.8%).这就表明A国对于资本深化最依赖,资本深化对于该国经济增长的贡献最大。

老师想请问,想请问这题的公式是怎么变形出来的?


用的是变形① y=T * k^α


两边取对数


Lny = Ln T + α* Ln k


微分


△y/y = △T/T + △k / k 是这样吗 ?那这个式子跟变形三: △y/y = △T/T + α* (△k / k)+ (1-α)* (△L/L)是不是矛盾了~?还是我转换过程中有错误呢,请指出,谢谢。

1 个答案

丹丹_品职答疑助手 · 2020年10月12日

嗨,努力学习的PZer你好:


同学你好,转换后还是要带着alpha的哈:△y/y = △T/T + α*△k / k


-------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!


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