The geometric mean of Laspeyre’s and Paasche’s price indices is called Fisher’s price Index. Fisher price index uses both current year and base year quantities as weight. This index corrects the positive bias inherent in the laspeyres index and the negative bias inherent in the paasche index. Fisher’s price index is also a weighted aggregative price index because it is an average (G.M) of two weighted aggregative indices. The computational formula for the fisher ideal price index is:
Problem: Construct Fisher’s price index for the data given below: (Base = 2004). Also show that fisher’s index is the geometric mean of laspeyre and paache indices.
Solution:
Fisher’s index is the geometric mean of laspeyre and paache indices
To check that Fisher’s index is the geometric mean of Laspeyre and Paache indices, we have
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So why is this a reasonable or useful way to describe production (as in the Federal Production Index)?
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how do you calculate the indices when you are given three or more years instead of two?
interpretation there is net increase of price by 49.40% in 2008 compared to 2004
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There’s a mistake … After multiply these digits 148.507×150.29 the answer is 22319.117 .. Not 122319.117 …
I want to know about advantages of Fisher’s Ideal Index.
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Please check the figures in the square root ,it should be F=(22319.177) but not F equals (122319.117)
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