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过儿 · 2022年04月14日

这题拉什永远高估,帕氏永远低估,所以不用算对吗

NO.PZ2017100901000024

问题如下:

The following presents selected commodity price data for July–August 2015:

Given the consumption basket and prices presented, which type of price index will result in the highest calculated inflation rate over a two-month time period?

选项:

A.

One that uses a current consumption basket

B.

One that uses a constant consumption basket

C.

One reflecting substitutions made by consumers over time

解释:

B is correct.

The inflation rate calculated by using a constant consumption basket (the Laspeyres index) is 10%, derived as follows:

July 2015 consumption basket = (18 × €1) + (6 × €2) = €30

August 2015 consumption basket = (18 × €1) + (6 × €2.5) = €33

Value of the Laspeyres index (IL) = (€33/€30) × 100 = €110 Inflation rate = (110/100) – 1 = 0.10 = 10%

The inflation rate calculated using a current consumption basket (the Paasche index) is 8%, derived as follows:

July 2015 consumption basket = (17 × €1) + (4 × €2) = €25

August 2015 consumption basket = (17 × €1) + (4 × €2.5) = €27

Value of the Paasche index (IP) = (€27/€25) × 100 = €108

Inflation rate = (108/100) – 1 = 0.08 = 8%

The inflation rate calculated by "chaining" the monthly prices of consumption baskets as they change over time (the Fisher index) is derived as follows: Value of the Fisher index = (Ip*IL)^0.5

Value of the Fisher Index =(110*108)^0.5=108.99

Inflation rate = (108.99/100) – 1 = 0.0899 = 8.99%

考点:拉式指数法

解析:在拉氏指数法下,应该是用基期的消费篮子:

7月物价水平:(18 × € 1) + (6 × € 2) = € 30

8月物价水平:(18 × € 1) + (6 × € 2.5) = € 33

通胀指数:Inflation rate=(33/30)-1=10%

在沠许指数法下,应该是用当期的消费篮子:

7月的物价水平:(17 × € 1) + (4 × € 2) = € 25

8月的物价水平:(17 × € 1) + (4 × € 2.5) = € 27

通胀指数:(27/25)-1=8%

费雪指数:(110*108)^0.5= € 108.99

通胀指数:(108.99/100) – 1 = 0.0899 = 8.99%

由此可见B选项正确。

这题拉什永远高估CPI,帕氏永远低估CPI,因为替代效应,所以不用算对吗,课上何老师好像讲过

1 个答案

笛子_品职助教 · 2022年04月14日

嗨,爱思考的PZer你好:


是的,不用算。拉什永远高估CPI,帕氏永远低估CPI。

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