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**CFA Practice Question**

The following 4 stocks are the components of a price-weighted index (series). Prices and # outstanding on January 1 are given in the table below. After close of trade on January 1, there is a 4 for 1 stock split for stock P. Price at the end of January 2 are also given in the table below.

M | $12 | 2 M | $14

N | $20 | 4 M | $18

O | $32 | 3 M | $32

P | $16 | 5 M | $5

Stock | Price (Jan 1) | # Outstanding (Jan 1) | Price (Jan 2)

M | $12 | 2 M | $14

N | $20 | 4 M | $18

O | $32 | 3 M | $32

P | $16 | 5 M | $5

As of Jan 1 there were no prior splits in any of the stocks. What is the value of the price-weighted index at the end of January 2?

A. 20.80

B. 21.31

C. 20.29

**Explanation:**First calculate the price index pre-split as the sum of the prices on Jan 1 divided by 4 (as there had been no split till Jan 1). Next reduce only the price of stock P and calculate the new denominator which will result in the index having the same value as before (while still using Jan 1 prices). Finally use the new denominator on Jan 2 prices to find value of index on Jan 2.

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**User Contributed Comments**
5

User |
Comment |
---|---|

aashishb |
(12+20+32+16)/4=20 P split to 4 share ==> 16/4 = 4 (12+20+32+16)/denominator=20 ==> 3.4 (14+18+32+5)/3.4 = 20.29 |

steph73 |
thanks |

zzhumanov |
when calculating new denominator the price of P is 4 (not 16). |

birdperson |
thanks aashishb AN - throw out some #s in the answer please |

birdperson |
zz is right 1. (12 + 20 + 32 + 16)/4 = 20. 2. new denominator calculation: (12+20+32+4)/20 = 3.4 3. (14 + 18 + 32 + 5) / 3.4 = 20.29 |