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STA304 Assignment 1 Solution Fall 2021

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Q.1 Given the prices of three commodities, Using 1990 as the base period, compute, simple average of relatives price indices using

i.                    A.M

ii.                  Median

year Price Price Price
A
B

C
1990 30.00 12.00  20.00
1991 30.50 13.50 23.50
1992 32.50 14.50 25.00
199332.5014.0025.00

Solution:

year Price Price Price Total Mean Median

A B C


1990 100    100 100 300 100 100
1991 102 113 118 332 111 113
1992 108 121 125 354 118 121
1993 108 117 125 350 117 117



Q.2. Construct the following weighted aggregative price index numbers (by using Paasche’s formula) for 1960 by using 1956 as a base period

Commodity Prices Prices Quantities Quantities

1956 1960 1956 1960
A 600 1200 100 150
B 400 700 80 100
C 180 432 60 72
D 450 363 30 33




Solution:

Commodity Prices Prices Quantities Header P1Q1PoQ1

1956 (Po) 1960 (P1) 1956 (Qo) 1960 (Q1) Cell Cell
A 600 1200 100 150 180000 90000
     B
400 1200 80 100 70000 40000
C 180 432 60 72 31104 12960
D 450 363 30 33 11979 14850l





293083 157810

Index For 1960 = 

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