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CFA Level I · CFA Level I Exam · Financial Analysis Techniques

A company reports net income of $60 million and pays preferred dividends of $6 million. It had 20 million common shares outstanding at the start of the year and issued 6 million new shares on 1 October. The weighted average number of shares for the year is closest to:

The weighted average share count is about 21.5 million. The 6 million shares issued on 1 October were outstanding for only a quarter of the year, adding 1.5 million to the opening 20 million. Counting all new shares would wrongly give 26 million.

  1. A21.5 millionCorrect
  2. B22.0 million
  3. C26.0 million

Explanation

The new shares were outstanding for 3 of 12 months: 6 × 3/12 = 1.5 million. Weighted average = 20 + 1.5 = 21.5 million. Using the full 6 million gives 26 million, which ignores timing.

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