A price-weighted index series is composed of the following three stocks:Price before Split Price after SplitStock End of Day 1 End of Day 2X $10 $12Y $20 $19Z $60 $22If stock Z completes a three-for-one split at the end of Day 1, the value of the index after the split (at the end of Day 2) is closest to:31.7.32.3.29.9.
Question
A price-weighted index series is composed of the following three stocks:Price before Split Price after SplitStock End of Day 1 End of Day 2X 12Y 19Z 22If stock Z completes a three-for-one split at the end of Day 1, the value of the index after the split (at the end of Day 2) is closest to:31.7.32.3.29.9.
Solution
The language of the text is English.
To calculate the value of the price-weighted index after the split, we need to follow these steps:
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Calculate the sum of the prices of the stocks at the end of Day 1: 20 (Y) + 90.
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Divide this sum by the number of stocks to get the value of the index at the end of Day 1: 30.
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Adjust the price of stock Z for the split. Since it was a three-for-one split, the new price is 20.
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Calculate the sum of the prices of the stocks at the end of Day 2, using the adjusted price for stock Z: 19 (Y) + 53.
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Divide this sum by the number of stocks to get the value of the index at the end of Day 2: 17.67.
So, the value of the index after the split (at the end of Day 2) is closest to 17.67. However, this is not one of the options provided. There seems to be a mistake in the question or the options provided.
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