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一考就过幸运星 · 2023年08月05日

柯布道格拉斯生产函数

  1. CFA II
  2. Economics Analysis

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

题目的讲解中，写道Growth rate of labor productivity= Growth rate of TFP+ Growth rate of capital deepening

但根据柯布道格拉斯生产函数的变形，不是应该是Growth rate of labor productivity= Growth rate of TFP+α* Growth rate of capital deepening吗？

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1 个答案

笛子_品职助教 · 2023年08月07日

嗨，努力学习的PZer你好：


但根据柯布道格拉斯生产函数的变形，不是应该是Growth rate of labor productivity= Growth rate of TFP+α* Growth rate of capital deepening吗？

是的。严格来说需要乘以alpha。

但是本题，Alpha没给具体数值，只能默认为是一样的。

而且这道题实际上并不要求计算具体的potential GDP增长是多少

只需要选出最大的那个国家

Growth rate of TFP+ Growth rate of capital deepening，加起来最大的国家，potential GDP增长率都是最大的

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