困扰我很久的一个经济学问题,跪求高手解答

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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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关键词：求高手解答 经济学问题 经济学 求高手 percentage 经济学 高手 解答 困扰

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

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.