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苏·Xu · 2023年03月12日

NO.PZ2022061307000045

问题如下:

Question

A price-weighted index series is composed of the following three stocks:


If 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:

选项:

A.31.7. B.32.3. C.29.9.

解释:

Solution

A is correct. The value of the price-weighted index is determined by dividing the sum of the security values by the divisor, which is typically set at inception to equal the initial number of securities in the index. In the case of a stock split, the index provider must adjust the value of the divisor by dividing the sum of the constituent prices after the split by the value of the index before the split. This adjustment results in a new divisor that keeps the index value at the same level as before the split. The new divisor will then be used to calculate the index value after the split.

Index before the split = 10+20+60 3

= 30

New divisor, X: 30 = 10+20+20 X

X = 1.67

Index after the split = 12+19+22 1.67

= 31.7

B is incorrect. It calculates the changes in prices and uses it to derive the new index.

C is incorrect. It uses price after split to calculate the new divisor.

题目那个three-for-one 的条件没用吗?

1 个答案

王园圆_品职助教 · 2023年03月12日

同学你好,解析里已经用了这个条件了哦——你看绿色部分,Z stock拆股前是60元,拆股后是20元=60*1/3,这里已经用到拆股的条件了

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