Caution: Indexes Under Construction

Suppose there are only two stocks in the market and the following information is given:

 

Price per Share

 

Shares Outstanding

Beginning of Year

End of Year

Betty Co.

10 million

$10

$11

Gray Bull, Inc.

20 million

$20

$25

Construct price and value weighted indexes and calculate the percentage changes in each. The average share price rose from $15 to $18, or $3, so the price weighted index would be up by 3/15 = 20 percent. Average total market value, in millions, rose from $250 to $305, so the value weighted index rose by 55/250 = 22 percent.