Compute the price relatives for the four stocks making up the Boran index in exercise 20. Use the weighted aggregates of price relatives to compute the January 2011 and March 2011 Boran indexes.
20. Boran Stockbrokers, Inc., selects four stocks for the purpose of developing its own index of stock market behavior. Prices per share for a 2009 base period, January 2011, and March 2011 follow. Base-year quantities are set on the basis of historical volumes for the four stocks.
Use the 2009 base period to compute the Boran index for January 2011 and March 2011. Comment on what the index tells you about what is happening in the stock market.
Find the price relatives for the four stocks making up the Boran index in Exercise 20.
Find the January 2011 and March 2011 Boran indexes by using the weighted aggregates of price relatives.
Answer to Problem 21SE
The price relatives for the four stocks for January 2011 are obtained below:
Year | 2009 Base | January 2011 | |
Oil | 31.50 | 22.75 | 72.2 |
Computer | 65 | 49 | 75.4 |
Steel | 40 | 32 | 80 |
Real Estate | 18 | 6.50 | 36.1 |
The price relatives for the four stocks for March 2011 is obtained below:
Year |
2009 Base | March 2011 | |
Oil | 31.50 | 22.50 | 71.4 |
Computer | 65 | 47.50 | 73.1 |
Steel | 40 | 29.50 | 73.8 |
Real Estate | 18 | 3.75 | 20.8 |
The Boran index for January 2011 by using the weighted aggregates of price relatives is 73.5.
The Boran index for March 2011 by using the weighted aggregates of price relatives is 70.10.
Explanation of Solution
Calculation:
The data represents the price per share for the periods January 2011, March 2011 and 2009 Base. Furthermore, the values of 2009 Quantity are also given.
The price relatives for the four stocks for January 2011 are obtained below:
Year | 2009 Base | January 2011 | |
Oil | 31.50 | 22.75 | |
Computer | 65 | 49 | |
Steel | 40 | 32 | |
Real Estate | 18 | 6.50 |
The price relatives for the four stocks for March 2011 is obtained below:
Year |
2009 Base | March 2011 | |
Oil | 31.50 | 22.50 | |
Computer | 65 | 47.50 | |
Steel | 40 | 29.50 | |
Real Estate | 18 | 3.75 |
The Boran index for January 2011 and March 2011 by using the weighted aggregates of price relatives is obtained below:
Thus, the Boran index for January 2011 by using the weighted aggregates of price relatives is 73.5.
The Boran index for March 2011 by using the weighted aggregates of price relatives is obtained below:
Thus, the Boran index for March 2011 by using the weighted aggregates of price relatives is 70.10.
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Chapter 20 Solutions
Statistics for Business & Economics, Revised (MindTap Course List)
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