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2008-06-30
小弟经济学初学者,对Samuleson的Economics 上有个地方搞了很久就是不懂.
原书 440页在"Caculating the CPI"有个公式
"weighted change in prices in period t =∑[relative importance of good i in(t-1)]*[percentage increase of good i from(t-1) to t]"
而下面有张表是这样的:
Category               Relative Importance(%)   Change from February 2002 to February 2003 (% per year)
Food and beverage      15.6                     1.4
Housing                40.9                     2.6
Medical care            6.0                     4.5
other                  37.5                     3.9
Total                  100.0                    3.0
我是将"percentage increase of good i from(t-1) to t"等同于"Change from February 2002 to February 2003 (% per year)"计算的.结果是0.030143
又由最上面的一个公式"CPI in period t=CPI in period (t-1)*weighted change in prices in period t "
和公式"CPI in period t=CPI in period (t-1)*(1+Inflation rate in period t) "
可得 " weighted change in prices in period t=1+Inflation rate in period t"
这样"weighted change in prices in period t "应该大于1呀,怎么才0.030143.
我糊涂了,请各位高手不吝赐教.感激不尽.

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2008-7-1 21:28:00
I want you to double check this formula:

CPI in period t=CPI in period (t-1)*weighted change in prices in period t

I think your calculation is OK. But I think the formula should be

CPI in period t=CPI in period (t-1)*(1+weighted change in prices in period t)

Hope it is right

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2008-7-2 20:27:00

there is no problem with the formula.the problem,i think, may be that Samuleson think this is a good chance to test our critical thinking.what an economist. thanks to you and Samuleson.

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