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A security analyst wishes to construct an index to reflect the changes in the price of five stocks in a certain portfolio. The following figures represent the average price and numbers of shares purchased for each stock for 1988-1990:
1988
1989
1990
Stock
Average Shares
Price Purchased
A
35 110
45 210
40 215
B
55 210
50 160
55 115
C
65 160
85 260
75 115
D
50 310
55 260
60 215
E
25 200
30 210
40 310
a. Construct an unweighted aggregate index using 1988 as a base year. What are the disadvantages of this type of index?
b. Construct a Laspeyers index using 1988 as a base year. What are the disadvantages of thus type of index?
c. Construct a Paasche index using 1988 as a reference base year. What are the disadvantages of this type of index?
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