Question

Show that the following data that Fisher’s ideal index satisfies the Time Reversal Test and Factor Reversal Test:

Commodity               Price        No. of Units
2005 2018 2005 2018
I 6 10 50 60
II 2 2 100 100
III 4 6 60 60
IV 10 12 30 30
V 8 12 40 40
20 Mar 2023
Answer :
Word Count : 278

Fisher's ideal index is given by:

I = ∏(P2Q1/P1Q2)^(wi)

Where P1, P2 are the prices of the commodity in the base year and current year respectively, Q1, Q2 are the quantities consumed in the base year and current year respectively, and wi is the weight of the ith commodity.

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