You are given the following information concerning two stocks that make up an index. |
Assume that you want to reindex with the index value at the beginning of the year equal to 100. What is the index level at the end of the year? (Do not round intermediate calculations. Round your answer to 2 decimal places.) |
Price per Share | ||||||||||||
Shares Outstanding | Beginning of Year | End of Year |
||||||||||
Kirk, Inc. | 33,000 | $ | 47 | $ | 52 | |||||||
Picard Co. | 31,500 | 77 | 83 | |||||||||
Index level |
The index level is computed as shown below:
= [ (Number of shares of Kirk Inc x End of year price per share + Number of shares of Picard Co x End of year price per share) / (Number of shares of Kirk Inc x Beginning of year price per share + Number of shares of Picard Co x Beginning of year price per share) ] x 100
= [ (33,000 x $ 52 + 31,500 x $ 83) / (33,000 x $ 47 + 31,500 x $ 77) ] x 100
= ($ 4,330,500 / $ 3,976,500) x 100
= 108.90 Approximately
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