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Basic Question 13 of 14

A price-weighted index was constructed a month ago using 2 stocks, A and B, then priced at $5 and $7, respectively. The current stock prices of the two are $8 and $12 respectively and stock B is about to undergo a 3-for-1 split. If the divisor is not changed in response to the split, the value of the index immediately after the split will equal ______.

User Contributed Comments 6

User Comment
zwer One of the very few open questions here. The answer is in line with the explaination, however a divisor must be defined for the real world index calculation.
RichWang Is 3-for-1 a revise split? that is the price for Stock B will be $12 x 3 = $36.
ehc0791 1-for-3 is reversed split
Rotigga Remember 3 for 1 means you get 3 shares in exchange for 1 that you have. 1 for 3 means you get 1 share for 3 that you have.
Rotigga Correct divisor would be (4 + 8)/10 = 1.2 [(New Price of B after Split + stock A price)/Original Index Value]
johntan1979 Yup, that's right. 1.2 will be the new divisor, but the question stated no change to divisor.
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Learning Outcome Statements

describe the choices and issues in index construction and management

compare the different weighting methods used in index construction

calculate and analyze the value and return of an index given its weighting method

describe rebalancing and reconstitution of an index

CFA® 2024 Level I Curriculum, Volume 3, Module 2.