The following three defense stocks are to be combined into a stock index in Janu
ID: 2762274 • Letter: T
Question
The following three defense stocks are to be combined into a stock index in January 2013 (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.
a. Calculate the initial value of the index if a value-weighting scheme is used. (Round your answer to 2 decimal places.)
b. What is the rate of return on this index for the year ending December 31, 2013? For the year ending December 31, 2014? (Negative values should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Omit the "%" sign in your response.)
Price Shares(millions) 1/1/13 1/1/14 1/1/15 Douglas McDonnell 185 $ 69 $ 72 $ 85 Dynamics General 450 47 40 54 International Rockwell 270 76 65 79
a. Calculate the initial value of the index if a value-weighting scheme is used. (Round your answer to 2 decimal places.)
b. What is the rate of return on this index for the year ending December 31, 2013? For the year ending December 31, 2014? (Negative values should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Omit the "%" sign in your response.)
Explanation / Answer
A. 1/1/13: Index value = (69 + 47 + 76) / 3 = 64
What is the rate of return on this index for the year ending December 31, 2013? For the year ending December 31, 2014?
1/1/14: Index value = (72 + 40 + 65) / 3 =59
2013 return = (59-64) / 64 = -7.81%
1/1/15: Index value (85+54+79) / 3 = 72.67
2014return = (72.67-59) / 59 = 23.16%
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