Question

In: Finance

The following three defense stocks are to be combined into a stock index in January 2016...

The following three defense stocks are to be combined into a stock index in January 2016 (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.

Price
Shares
(millions)
1/1/16 1/1/17 1/1/18
Douglas McDonnell 530 $ 62 $ 66 $ 81
Dynamics General 230 34 28 42
International Rockwell 330 63 52 68

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, 2016? For the year ending December 31, 2017? (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.)

Solutions

Expert Solution

Index Value = Total Market Cap / 10 million (Given)
Initial Index Value = 61470/10
Initial Index Value = 6147

Rate of Return = Closing Value of Index / Initial Value of Index - 1


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