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嘿嘿 · 2020年02月12日

问一道题:NO.PZ2018091706000020

问题如下:

Economic data of a country is showed below:

According to the economic data, which of the three counties most likely rely on the capital deepening?

选项:

A.

Country X.

B.

Country Y.

C.

Country Z.

解释:

A is correct.

考点Cobb-Douglas production function 的变形公式

解析先写出变形公式

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

X=2.6-0.8=1.8

Y=1.8-1=0.8

Z=1-(-0.1) =1.1

No.PZ2018091706000020 (选择题)

Economic data of a country is showed below:

According to the economic data, which of the three counties most likely rely on the capital deepening?

正确答案是: A

A

Country X.

B

Country Y.

C

Country Z.


解析

A is correct.

考点:Cobb-Douglas production function 的变形公式

解析:先写出变形公式:

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

X=2.6-0.8=1.8

Y=1.8-1=0.8

Z=1-(-0.1) =1.1



你好,看了前面的回答,知道是由y=T*k^a推导来的。还是不懂的是求导之后的a怎么没在capital deepening之前?

谢谢

3 个答案

源_品职助教 · 2020年03月17日

我没有说α被消除啊

george · 2020年02月26日

由于:y=T*k^a 等式两边取对数:lny=ln(T*k^a) 即:lny=lnT+alnk等式两边取全微分:1/ydy=1/TdT+a*1/kdk 即:dy/y=dT/T+a*dk/k 也就是:劳动生产率增长率=全要素生产率增长率+a*资本深化增长率。a可以约等于1?

源_品职助教 · 2020年02月13日

嗨,从没放弃的小努力你好:


Y=T*k^a,对k求导,

就是Y=αTk^(α-1)

α作为系数是写在k前面的啊


-------------------------------
努力的时光都是限量版,加油!


zhoujiao7996 · 2020年03月17日

但是课程中算的时候,是先ln再微分,所以乄没办法消掉啊

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