Check my work Problem 5-16 Value-Weighted Indexes (LO4, CFA2) The following three defense stocks are to be combined into a stock index in January 2022 (perhaps a portfolio manager believes these stocks are an appropriate benchmark for his or her performance). Assume the index is scaled by a factor of 10 million; that is, if the total value of all firms in the market is $5 billion, the index would be quoted as 500. Douglas McDonnell Dynamics General International Rockwell Shares (millions) 1/1/22 Price 1/1/23 1/1/24 535 450 230 $ 89 70 99 $ 94 65 88 $ 109 79 105 a. Calculate the initial value of the index if a value-weighting scheme is used. Note: Round your answer to 2 decimal places. Index value b. What is the rate of return on this index for the year ending December 31, 2022? For the year ending December 31, 2023? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. 2022 return 2023 return % %

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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Problem 5-16 Value-Weighted Indexes (LO4, CFA2)
The following three defense stocks are to be combined into a stock index in January 2022 (perhaps a portfolio manager believes
these stocks are an appropriate benchmark for his or her performance). Assume the index is scaled by a factor of 10 million; that is, if
the total value of all firms in the market is $5 billion, the index would be quoted as 500.
Douglas McDonnell
Dynamics General
International Rockwell
Shares (millions)
1/1/22
Price
1/1/23
1/1/24
535
450
230
$ 89
70
99
$ 94
65
88
$ 109
79
105
a. Calculate the initial value of the index if a value-weighting scheme is used.
Note: Round your answer to 2 decimal places.
Index value
b. What is the rate of return on this index for the year ending December 31, 2022? For the year ending December 31, 2023?
Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a
percent rounded to 2 decimal places.
2022 return
2023 return
%
%
Transcribed Image Text:Check my work Problem 5-16 Value-Weighted Indexes (LO4, CFA2) The following three defense stocks are to be combined into a stock index in January 2022 (perhaps a portfolio manager believes these stocks are an appropriate benchmark for his or her performance). Assume the index is scaled by a factor of 10 million; that is, if the total value of all firms in the market is $5 billion, the index would be quoted as 500. Douglas McDonnell Dynamics General International Rockwell Shares (millions) 1/1/22 Price 1/1/23 1/1/24 535 450 230 $ 89 70 99 $ 94 65 88 $ 109 79 105 a. Calculate the initial value of the index if a value-weighting scheme is used. Note: Round your answer to 2 decimal places. Index value b. What is the rate of return on this index for the year ending December 31, 2022? For the year ending December 31, 2023? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. 2022 return 2023 return % %
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